{"id":78,"date":"2023-09-16T13:00:39","date_gmt":"2023-09-16T13:00:39","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/"},"modified":"2023-09-16T13:00:39","modified_gmt":"2023-09-16T13:00:39","slug":"%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/","title":{"rendered":"\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0627\u0644\u0635\u064a\u063a)"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0634\u0631\u062d\u064b\u0627 \u0644\u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0648\u0627\u0644\u0635\u064a\u063a): \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0648\u0627\u0644\u062e\u0637\u0648\u0637\u060c \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u0648\u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u060c&#8230; <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-geometria-en-el-espacio\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u0641\u0636\u0627\u0621<\/strong> \u0647\u064a \u0641\u0631\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u0645\u0633\u0624\u0648\u0644 \u0639\u0646 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u062b\u0644\u0627\u062b\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f\u060c \u0623\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u0634\u063a\u0644 \u0645\u0643\u0627\u0646\u064b\u0627 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621. \u0645\u062b\u0644 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u060c \u0627\u0644\u0645\u0643\u0639\u0628\u060c \u0627\u0644\u0647\u0631\u0645\u060c \u0627\u0644\u0643\u0631\u0629\u060c \u0627\u0644\u0627\u0633\u0637\u0648\u0627\u0646\u0629\u060c \u0627\u0644\u0645\u0646\u0634\u0648\u0631\u060c \u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u0648\u062c\u0648\u0647\u060c \u0627\u0644\u062e.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0633\u0646\u0631\u0643\u0632 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0639\u0644\u0649 <strong>\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<\/strong> \u060c \u0648\u0647\u0648 \u062c\u0632\u0621 \u0645\u0646 \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u0641\u0636\u0627\u0626\u064a\u0629 \u0627\u0644\u0630\u064a \u064a\u0631\u0643\u0632 \u0639\u0644\u0649 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0642\u0627\u0637 \u0648\u0627\u0644\u062e\u0637\u0648\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0648\u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u0634\u0643\u0644\u064a\u0646 \u0647\u0646\u062f\u0633\u064a\u064a\u0646 \u0648\u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0648\u0646\u0647\u0627 \u0648\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0628\u064a\u0646 \u0627\u0644\u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629. \u0627\u0644\u0623\u0631\u0642\u0627\u0645. \u0627\u0644\u0639\u0646\u0627\u0635\u0631\u060c \u0627\u0644\u062e. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuaciones-de-la-recta-en-el-espacio\"><\/span> \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0644\u062e\u0637 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u062a\u062a\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0645\u062b\u0644\u0629 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0628\u062f\u0648\u0646 \u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0623\u0648 \u0632\u0648\u0627\u064a\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u0644\u062a\u0639\u0628\u064a\u0631 \u0631\u064a\u0627\u0636\u064a\u064b\u0627 \u0639\u0646 \u0623\u064a \u062e\u0637 \u0641\u064a \u0641\u0636\u0627\u0621 \u062b\u0644\u0627\u062b\u064a \u0627\u0644\u0623\u0628\u0639\u0627\u062f (\u0641\u064a R3) \u0646\u0633\u062a\u062e\u062f\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u060c \u0648\u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u064a\u0647\u0627 \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u062e\u0637 \u0648\u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637 \u0627\u0644\u0645\u0630\u0643\u0648\u0631. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-de-la-droite-1.webp\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u0648\u0637 pdf\" width=\"287\" height=\"273\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u064a\u0646 \u0627\u0644\u0639\u0646\u0635\u0631\u064a\u0646 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u064a\u0646 \u0641\u0642\u0637\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0644\u062e\u0637\u060c \u0648\u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0647\u064a <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629<\/strong> \u060c <strong>\u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629<\/strong> \u060c <strong>\u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629<\/strong> \u060c <strong>\u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629)<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0648\u062c\u062f \u0623\u062f\u0646\u0627\u0647 \u0634\u0631\u062d \u0644\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuacion-vectorial-de-la-recta-en-el-espacio\"><\/span> \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u062e\u0637 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0639\u0645<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637 \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c953822ce25652ca448e94a788a57727_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (\\text{v}_x,\\text{v}_y,\\text{v}_z) \\qquad P(P_x,P_y,P_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0644\u0644\u062e\u0637<\/strong> \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acaf0a8e7defa1334cde7e01a2e65f4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      (x,y,z)=(P_x,P_y,P_z)+t\\cdot (\\text{v}_x,\\text{v}_y,\\text{v}_z) \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuaciones-parametricas-de-la-recta-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 <strong>\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629<\/strong> \u0644\u0644\u062e\u0637 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0645\u0633\u0627\u0648\u0627\u0629 \u0627\u0644\u0645\u0643\u0648\u0646 \u0628\u0627\u0644\u0645\u0643\u0648\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a892d067e1fbbb24d966cf0443eb995e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\begin{cases} x=P_x+t\\cdot\\text{v}_x \\\\[1.7ex] y=P_y+t\\cdot\\text{v}_y \\\\[1.7ex] z=P_z+t\\cdot\\text{v}_z\\end{cases} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuacion-continua-de-la-recta-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0644\u0644\u062e\u0637 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0644\u0644\u062e\u0637<\/strong> \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-813bcf24a017b36ee987fcc70fb5adf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\cfrac{x-P_x}{\\text{v}_x}=\\cfrac{y-P_y}{\\text{v}_y}= \\cfrac{z-P_z}{\\text{v}_z} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0648\u064a\u0645\u0643\u0646\u0643 \u0645\u0634\u0627\u0647\u062f\u0629 \u0627\u0644\u0639\u0631\u0636 \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a <a href=\"https:\/\/mathority.org\/ar\/\u0635\u064a\u063a\u0629-\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629-\u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629-\u0644\u0644\u062e\u0637\/\">\u0644\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629<\/a> \u0639\u0644\u0649 \u0635\u0641\u062d\u062a\u0646\u0627\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0645\u0639 \u062a\u0645\u0627\u0631\u064a\u0646 \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuaciones-general-o-implicita-de-la-recta-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629) \u0644\u0644\u062e\u0637 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0628\u0636\u0631\u0628 \u0643\u0633\u0648\u0631 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0644\u0644\u062e\u0637 \u0627\u062b\u0646\u064a\u0646 \u0641\u064a \u0627\u062b\u0646\u064a\u0646\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629) \u0644\u0644\u062e\u0637<\/strong> :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1507f641dfa92df09983b3950ee23c80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\begin{cases} A_1x+B_1y+C_1z+D_1=0 \\\\[1.7ex] A_2x+B_2y+C_2z+D_2=0\\end{cases} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u064f\u0633\u0645\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0623\u0631\u0628\u0639 \u0627\u0644\u0623\u0643\u062b\u0631 \u0635\u0644\u0629 \u0628\u0627\u0644\u062e\u0637 (\u0627\u0644\u0645\u062a\u062c\u0647\u060c \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u0649\u060c \u0627\u0644\u0645\u0633\u062a\u0645\u0631 \u0648\u0627\u0644\u0639\u0627\u0645\u0629)\u060c \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0647\u0646\u0627\u0643 \u0645\u0639\u0627\u062f\u0644\u0629 \u0623\u062e\u0631\u0649 \u062e\u0627\u0635\u0629 \u0625\u0644\u0649 \u062d\u062f \u0645\u0627\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u064a\u0633\u062a\u063a\u0631\u0642 \u0634\u0631\u062d\u0647\u0627 \u0635\u0641\u062d\u0629 \u0643\u0627\u0645\u0644\u0629. \u0647\u0630\u0647 \u0647\u064a <a href=\"https:\/\/mathority.org\/ar\/\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u0639\u0627\u062f\u0644\u0629-\u0642\u0637\u0639\u064a\u0629-\u0627\u0654\u0648-\u0645\u062a\u0645\u0627\u062b\u0644\u0629-\u0627\u0654\u0633\u0627\u0633\u064a\u0629-\u0644\u0635\u064a\u063a\u0629-\u062e\u0637\u064a\u0629-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/a> \u060c \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0634\u0631\u062d\u0647\u0627 \u0627\u0644\u0643\u0627\u0645\u0644\u060c \u0648\u0644\u0645\u0627\u0630\u0627 \u0647\u064a \u0645\u0645\u064a\u0632\u0629 \u062c\u062f\u064b\u0627 \u0648\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u062c\u0639\u0644\u0647\u0627 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 \u063a\u064a\u0631\u0647\u0627. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuaciones-del-plano-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0637\u0627\u0626\u0631\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c <strong>\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u0647\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0633\u0645\u062d \u0628\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0623\u064a \u0645\u0633\u062a\u0648\u0649 \u062a\u062d\u0644\u064a\u0644\u064a\u064b\u0627. \u0644\u0630\u0627\u060c \u0644\u0625\u064a\u062c\u0627\u062f \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0641\u0625\u0646\u0643 \u062a\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647\u064a\u0646 \u0645\u0633\u062a\u0642\u0644\u064a\u0646 \u062e\u0637\u064a\u064b\u0627 \u064a\u0646\u062a\u0645\u064a\u0627\u0646 \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u0630\u0643\u0648\u0631. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-planes.webp\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0637\u0627\u0626\u0631\u0629 xy \u0639\u0644\u0649 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a\" class=\"wp-image-2443\" width=\"404\" height=\"142\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u064a: <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629<\/strong> \u060c <strong>\u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629<\/strong> \u060c <strong>\u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629)<\/strong> \u060c <strong>\u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0627\u0646\u0648\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0642\u0637\u0627\u0639\u064a\u0629)<\/strong> \u0644\u0644\u0645\u0633\u062a\u0648\u0649.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643 \u0633\u0646\u0631\u0649 \u0634\u0631\u062d \u0648\u0635\u064a\u063a\u0629 \u062c\u0645\u064a\u0639 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuacion-vectorial-del-plano\"><\/span> \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0637\u0627\u0626\u0631\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u0645\u0633\u062a\u0648\u0649:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf5d4130501bb01b15aa80f8f80caf1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} P(P_x,P_y,P_z) \\\\[2ex] \\vv{\\text{u}}=(\\text{u}_x,\\text{u}_y,\\text{u}_z)\\\\[2ex] \\vv{\\text{v}}=(\\text{v}_x,\\text{v}_y,\\text{v}_z)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9227901692832cb0c176a896d35e896_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      (x,y,z)=P+\\lambda \\vv{\\text{u}} + \\mu \\vv{\\text{v}} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648 \u0645\u0627 \u064a\u0639\u0627\u062f\u0644\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78b41d21b63c22ec05d3f93576a897e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(P_x,P_y,P_z)+\\lambda (\\text{u}_x,\\text{u}_y,\\text{u}_z) + \\mu (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"398\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b5c45836864531b8e37025dabadd24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-461fe1a58a75801541487ddf10d32abd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0625\u0646\u0647\u0645\u0627 \u0639\u062f\u062f\u0627\u0646 \u0642\u064a\u0627\u0633\u064a\u0627\u0646\u060c \u0623\u064a \u0639\u062f\u062f\u0627\u0646 \u062d\u0642\u064a\u0642\u064a\u0627\u0646. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuaciones-parametricas-del-plano\"><\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0637\u0627\u0626\u0631\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0635\u064a\u063a\u0629 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1791802331aa9973126b3d7c7f1b716_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y\\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuacion-implicita-o-general-del-plano\"><\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 \u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0637\u0627\u0626\u0631\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 \u0644\u0644\u062e\u0637\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629\u060c \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u0627\u0644\u0645\u062d\u062f\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0648\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0639\u0644\u0649 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68d67612dfa54d76666aa37b702a472f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}\\text{u}_x &amp; \\text{v}_x &amp; x-P_x \\\\[1.1ex]\\text{u}_y &amp; \\text{v}_y &amp; y-P_y \\\\[1.1ex]\\text{u}_z &amp; \\text{v}_z &amp; z-P_z \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 \u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u062e\u0637\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629<\/strong> \u0633\u062a\u0643\u0648\u0646 \u0639\u0644\u0649 \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7dcacf16123986ecd33dace4f4411914_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle Ax+By+Cz+D=0 \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u064a\u0633\u0645\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 \u0623\u064a\u0636\u064b\u0627 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ecuacion-canonica-o-segmentaria-del-plano\"><\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0643\u0646\u0633\u064a \u0623\u0648 \u0627\u0644\u0642\u0637\u0639\u064a \u0644\u0644\u0637\u0627\u0626\u0631\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0623\u0648 \u0627\u0644\u0642\u0637\u0627\u0639\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c19853d465a703aa398bde04fa3222c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cfrac{x}{a}+\\cfrac{y}{b} + \\cfrac{z}{c} = 1  \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0630\u0647 \u0647\u064a \u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0648\u0627\u0644\u0645\u062d\u0648\u0631 X.<\/li>\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0630\u0647 \u0647\u064a \u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0648\u0627\u0644\u0645\u062d\u0648\u0631 Y.<\/li>\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0630\u0627 \u0647\u0648 \u0627\u0644\u0645\u0643\u0627\u0646 \u0627\u0644\u0630\u064a \u064a\u062a\u0642\u0627\u0637\u0639 \u0641\u064a\u0647 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 Z. <\/li>\n<\/ul>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"vector-normal-a-un-plano\"><\/span> \u0646\u0627\u0642\u0644 \u0637\u0628\u064a\u0639\u064a \u0644\u0644\u0637\u0627\u0626\u0631\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0639\u0645\u0648\u062f\u064a \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u0648 \u0645\u062a\u062c\u0647 \u0639\u0645\u0648\u062f\u064a \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0639\u0645\u0648\u062f\u064a \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0639\u0645\u0648\u062f\u064a \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u0639\u0644\u0642 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u062a\u0631\u064a\u0629 \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u0629 \u0628\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0648\u0645\u062a\u062c\u0647\u0627\u062a\u0647\u0627 \u0627\u0644\u0639\u0627\u062f\u064a\u0629. \u0644\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646\u060c \u0643\u0644 \u0645\u0627 \u0639\u0644\u064a\u0643 \u0641\u0639\u0644\u0647 \u0647\u0648 \u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0648\u0645\u062a\u062c\u0647\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062a\u062a\u0637\u0627\u0628\u0642 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a X\u060c Y\u060c Z \u0644\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0644\u0645\u0633\u062a\u0648\u0649 <strong>\u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a<\/strong><\/strong> <strong>\u0645\u0639 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a A\u060c B\u060c C \u0644\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629) \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u0630\u0643\u0648\u0631.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27f3ee5d7e81864550f3b86fdd53e89d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\color{orange} \\boxed{ \\color{black} \\quad \\pi : \\ Ax+By+C+D = 0 \\quad \\iff \\quad \\vv{n} = (A,B,C) \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"540\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-10affe1faee06a5faa4ef6d9c0473b1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u062a\u0639\u0627\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26622dd58bf71cd1b543c3d83233c561_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"posiciones-relativas-de-dos-elementos-geometricos-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0648\u0627\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0639\u0646\u0635\u0631\u064a\u0646 \u0647\u0646\u062f\u0633\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0644\u062e\u0637 \u0623\u0648 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0644\u064a\u0633 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0628\u0645\u0641\u0631\u062f\u0647 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u060c \u0628\u0644 \u0639\u0644\u0649 \u0627\u0644\u0639\u0643\u0633 \u0645\u0646 \u0630\u0644\u0643\u060c \u064a\u062a\u0641\u0627\u0639\u0644\u0627\u0646 \u0639\u0627\u062f\u0629 \u0645\u0639 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636: \u0641\u0647\u0645\u0627 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646\u060c \u0648\u064a\u0643\u0648\u0646\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646\u060c \u0648\u0645\u062a\u0639\u0627\u0645\u062f\u064a\u0646\u060c \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643. \u062d\u0633\u0646\u064b\u0627\u060c \u0633\u0646\u0631\u0649 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0644\u062e\u0637\u0648\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f\u0647\u0627. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"posicion-relativa-de-dos-rectas-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u0639\u0646\u062f \u0627\u0644\u0639\u0645\u0644 \u0641\u064a \u0645\u0633\u0627\u062d\u0629 \u062b\u0644\u0627\u062b\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f (\u0641\u064a R3) \u0647\u0646\u0627\u0643 4 \u0645\u0648\u0627\u0636\u0639 \u0646\u0633\u0628\u064a\u0629 \u0645\u062d\u062a\u0645\u0644\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646: \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0627\u0646 <strong>\u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062e\u0637\u0648\u0637 \u0645\u062a\u0637\u0627\u0628\u0642\u0629<\/strong> \u0623\u0648 \u062e\u0637\u0648\u0637 <strong>\u0645\u062a\u0648\u0627\u0632\u064a\u0629<\/strong> \u0623\u0648 <strong>\u062e\u0637\u0648\u0637 \u0642\u0627\u0637\u0639\u0629<\/strong> \u0623\u0648 <strong>\u062e\u0637\u0648\u0637 \u0642\u0627\u0637\u0639\u0629<\/strong> . <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-9\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0648\u0637 \u0645\u062a\u0648\u0627\u0632\u064a\u0629<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/droites-paralleles-a-langle.webp\" alt=\"\u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646\" class=\"wp-image-1643\" width=\"222\" height=\"200\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0628\u064a\u0646\u0647\u0645\u0627 \u0646\u0642\u0637\u0629 \u0645\u0634\u062a\u0631\u0643\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u062a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636. <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0629<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-coincident-lignes.webp\" alt=\"\u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u064a\u0646\" class=\"wp-image-1646\" width=\"202\" height=\"179\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0637\u0627\u0628\u0642 \u0627\u0644\u062e\u0637\u0627\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0643\u0627\u0646\u062a \u062c\u0645\u064a\u0639 \u0646\u0642\u0627\u0637\u0647\u0645\u0627 \u0645\u0634\u062a\u0631\u0643\u0629. <\/p>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-12\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0648\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angles-droits-secants.webp\" alt=\"\u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646\" class=\"wp-image-1644\" width=\"222\" height=\"208\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0637\u0627\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0644\u0647\u0645\u0627 \u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0648\u0644\u0643\u0646\u0647\u0645\u0627 \u064a\u062a\u0644\u0627\u0645\u0633\u0627\u0646 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0648\u0627\u062d\u062f\u0629. <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0648\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-dintersection-1.webp\" alt=\"\" class=\"wp-image-2692\" width=\"228\" height=\"221\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0637\u0627\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0644\u0647\u0645\u0627 \u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0648\u0644\u0627 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0641\u064a \u0623\u064a \u0646\u0642\u0637\u0629. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646 \u0644\u064a\u0633\u0627 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0641\u0648\u0642 \u0627\u0644\u0633\u0637\u0631<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0623\u0645\u0627\u0645 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c \u0644\u0630\u0644\u0643 \u0644\u0646 \u064a\u0644\u0645\u0633\u0648\u0627 \u0628\u0639\u0636\u0647\u0645 \u0627\u0644\u0628\u0639\u0636 \u0623\u0628\u062f\u064b\u0627.<\/p>\n<\/div>\n<\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u062d\u0633\u0628 \u0627\u0644\u0646\u0637\u0627\u0642\u0627\u062a<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0635\u0641\u064a\u0646 \u0647\u064a \u062d\u0633\u0627\u0628 \u0646\u0637\u0627\u0642\u0627\u062a \u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0645\u062d\u062f\u062f\u062a\u064a\u0646\u060c \u0643\u0645\u0627 \u0633\u0646\u0631\u0649 \u0623\u062f\u0646\u0627\u0647. \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0645\u0641\u064a\u062f\u0629 \u062c\u062f\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0639\u0627\u0645\u0629).<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u062e\u0637\u064a\u0646 \u0645\u0639\u0628\u0631\u0627 \u0639\u0646\u0647\u0645\u0627 \u0628\u0645\u0639\u0627\u062f\u0644\u0627\u062a\u0647\u0645\u0627 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629) \u0641\u064a \u0641\u0636\u0627\u0621 \u062b\u0644\u0627\u062b\u064a \u0627\u0644\u0623\u0628\u0639\u0627\u062f (\u0641\u064a R3):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-500405383e97627c17d01023fd9dd198_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}A_1x+B_1y+C_1z+D_1=0 \\\\[2ex] A_2x+B_2y+C_2z+D_2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c96b6990dae5ce476ee55689cf4f4fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}A_3x+B_3y+C_3z+D_3=0 \\\\[2ex] A_4x+B_4y+C_4z+D_4=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062a\u0643\u0646 A \u0647\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9199790c5f157691d9307604f25fc873_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"158\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217;\u060c \u0648\u0647\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f087aea2d9209341c2acf240eab2bc77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A'=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1&amp;D_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2&amp;D_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3&amp;D_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4&amp;D_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"201\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u062b\u0645 \u064a\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0644\u0645\u0633\u062a\u0642\u064a\u0645\u064a\u0646 \u0628\u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0627\u0644\u0633\u0627\u0628\u0642\u062a\u064a\u0646 \u062d\u0633\u0628 \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/positions-relatives-de-deux-lignes-par-plages.webp\" alt=\"\u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u062e\u0637\u064a\u0646 \u062d\u0633\u0628 \u0627\u0644\u0646\u0637\u0627\u0642\u0627\u062a\" class=\"wp-image-2752\" width=\"494\" height=\"223\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0644\u0630\u0644\u0643\u060c \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0635\u0641\u064a\u0646\u060c \u0633\u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0646\u0637\u0627\u0642\u0627\u062a \u0643\u0644\u062a\u0627 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646\u060c \u0648\u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0646\u0637\u0627\u0642 \u0643\u0644 \u0645\u0635\u0641\u0648\u0641\u0629\u060c \u0633\u062a\u0643\u0648\u0646 \u062d\u0627\u0644\u0629 \u0648\u0627\u062d\u062f\u0629 \u0623\u0648 \u0623\u062e\u0631\u0649.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633 (\u0637\u0631\u064a\u0642\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629)\u060c \u0648\u0644\u0643\u0646 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0644\u0646 \u0646\u0642\u0648\u0645 \u0628\u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0644\u0623\u0646\u0647\u0627 \u0645\u0631\u0647\u0642\u0629 \u0644\u0644\u063a\u0627\u064a\u0629 \u0648\u0644\u0627 \u062a\u0636\u064a\u0641 \u0627\u0644\u0643\u062b\u064a\u0631. . <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"posicion-relativa-de-dos-planos-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u0647\u0646\u0627\u0643 \u062b\u0644\u0627\u062b\u0629 \u0645\u0648\u0627\u0636\u0639 \u0646\u0633\u0628\u064a\u0629 \u0645\u062d\u062a\u0645\u0644\u0629 \u0641\u0642\u0637 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646: \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u0629\u060c \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0629.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u0629<\/strong> : \u064a\u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0625\u0630\u0627 \u062a\u0642\u0627\u0637\u0639\u0627 \u0639\u0644\u0649 \u062e\u0637 \u0648\u0627\u062d\u062f \u0641\u0642\u0637.<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646<\/strong> : \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0625\u0630\u0627 \u0644\u0645 \u064a\u062a\u0642\u0627\u0637\u0639\u0627 \u0641\u064a \u0623\u064a \u0646\u0642\u0637\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u0646<\/strong> : \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u064a\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0628\u064a\u0646\u0647\u0645\u0627 \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629. <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-16\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u0644\u0642\u0637\u0627\u062a \u0645\u062a\u0642\u0627\u0637\u0639\u0629<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/plans-secants.webp\" alt=\"\u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u062a\u064a\u0646\" class=\"wp-image-2814\" width=\"265\" height=\"258\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u0637\u0627\u0626\u0631\u0627\u062a \u0645\u062a\u0648\u0627\u0632\u064a\u0629<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/plans-paralleles-1.webp\" alt=\"\u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u062a\u064a\u0646\" class=\"wp-image-2815\" width=\"266\" height=\"166\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0637 \u0627\u0644\u0645\u0637\u0627\u0628\u0642\u0629<\/strong> <\/p>\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/deux-avions-coincidents.webp\" alt=\"\u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u062a\u064a\u0646\" class=\"wp-image-2820\" width=\"294\" height=\"83\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u062d\u062f\u0649 \u0637\u0631\u0642 \u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0647\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0645\u0639\u0627\u062f\u0644\u0627\u062a\u0647\u0645\u0627 \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629).<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629) \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a363201f1d61e53c35c3484a0fe116d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"221\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-330dffa3582cfbd92e893f755d2b06a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ A'x+B'y+C'z+D'=0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"240\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0639\u062a\u0645\u062f \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u062b\u0644\u0627\u062b\u064a \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0639\u0644\u0649 \u062a\u0646\u0627\u0633\u0628 \u0645\u0639\u0627\u0645\u0644\u0627\u062a\u0647\u0645\u0627 \u0623\u0648 \u0645\u0639\u0644\u0645\u0627\u062a\u0647\u0645\u0627: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/position-relative-de-deux-plans-avec-parametres.webp\" alt=\"\u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a\" class=\"wp-image-2825\" width=\"483\" height=\"263\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0633\u0648\u0641 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0639\u0646\u062f\u0645\u0627 \u0644\u0627 \u064a\u062a\u0646\u0627\u0633\u0628 \u0623\u062d\u062f \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a A \u0623\u0648 B \u0623\u0648 C \u0645\u0639 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649. \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0641\u0642\u0637 \u063a\u064a\u0631 \u0645\u062a\u0646\u0627\u0633\u0628\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u064a\u062a\u0637\u0627\u0628\u0642 \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u0646 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u062c\u0645\u064a\u0639 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u0629.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"distancias-en-el-espacio\"><\/span> \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u062a\u062c\u062f \u0623\u062f\u0646\u0627\u0647 \u0627\u0644\u0635\u064a\u063a \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629: \u0628\u064a\u0646 \u0646\u0642\u0637\u0629 \u0648\u062e\u0637\u060c \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646\u060c \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u0649 \u0648\u062e\u0637\u060c&#8230; <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"distancia-entre-dos-puntos\"><\/span> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u062a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0645\u0639\u064a\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u062a\u062d\u062f\u062f\u0647 \u0647\u0627\u062a\u0627\u0646 \u0627\u0644\u0646\u0642\u0637\u062a\u0627\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0646\u0642\u0637\u062a\u0627\u0646 \u0639\u0627\u0645\u062a\u0627\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad4aac8d1ffbf3b22c608d9435b1f218_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(a_x,a_y,a_z) \\qquad \\qquad B(b_x,b_y,b_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"256\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62ca9b73f6ae5d7f30dcef0336f46a82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle d(A,B) = \\vert \\vv{AB} \\rvert = \\sqrt{(b_x-a_x)^2+(b_y-a_y)^2+(b_z-a_z)^2}  \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"distancia-de-un-punto-a-una-recta\"><\/span> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u062e\u0637 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-817d216618a06e8ae0cce36c33c1518b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle d(s,r)=d(P,r)=\\cfrac{\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert}{\\lvert \\vv{\\text{v}}_r \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74f213a2a0ca1a22659ce06a80bc5d07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}}_r \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"23\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u064a \u0648\u062d\u062f\u0629 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa03a29f511592c1a1ecc8b306b0cf0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c758bec4c272382411b95fc0e7ee250_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0647\u064a \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42ca8c420951296e93092e708435813a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u0633\u0637\u0631<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdca087897cc5ad573be7ce2b595dfb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646<\/li>\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de23c83cb189398d246990817a7e83db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdca087897cc5ad573be7ce2b595dfb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50f32076ae1ee85f5b7c5a6d43a03089_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"distancia-entre-dos-rectas\"><\/span> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0645\u0648\u0642\u0639\u0647\u0645\u0627 \u0627\u0644\u0646\u0633\u0628\u064a:<\/p>\n<ul id=\"block-14d4b324-92b7-4a1e-8621-c1b0c30f6d2d\" style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 <strong>\u062a\u0637\u0627\u0628\u0642<\/strong> \u0627\u0644\u062e\u0637\u0627\u0646 \u0623\u0648 <strong>\u062a\u0642\u0627\u0637\u0639\u0627<\/strong> \u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631\u060c \u0644\u0623\u0646\u0647\u0645\u0627 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 (\u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644) \u0641\u064a \u0646\u0642\u0637\u0629 \u0648\u0627\u062d\u062f\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0627\u0646 <strong>\u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646<\/strong> \u0623\u0648 <strong>\u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646\u060c<\/strong> \u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u062d\u0633\u0628 \u0627\u0644\u062d\u0627\u0644\u0629 (\u0643\u0644\u0627 \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a\u0646 \u0645\u062a\u0648\u0641\u0631\u064a\u0646 \u0623\u062f\u0646\u0627\u0647).<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0627\u0646 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646 \u064a\u0641\u0635\u0644 \u0628\u064a\u0646\u0647\u0645\u0627 \u062f\u0627\u0626\u0645\u064b\u0627 \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u0627\u0641\u0629. \u0644\u0630\u0627 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0641\u064a R3) \u064a\u062a\u0645 \u0630\u0644\u0643 \u0628\u0646\u0641\u0633 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0643\u0645\u0627 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 (\u0641\u064a R2): <strong>\u0643\u0644 \u0645\u0627 \u0639\u0644\u064a\u0643 \u0641\u0639\u0644\u0647 \u0647\u0648 \u0623\u0646 \u062a\u0623\u062e\u0630 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0623\u062d\u062f \u0627\u0644\u062e\u0637\u064a\u0646 \u0648\u062a\u062c\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0647\u0646\u0627\u0643. \u0647\u0648 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0627\u0644\u062e\u0637 \u0627\u0644\u0622\u062e\u0631.<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-un-point-et-une-ligne-en-ligne.webp\" alt=\"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\" class=\"wp-image-1960\" width=\"384\" height=\"326\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u0629 \u0648\u062e\u0637.<\/p>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u064a\u0643\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0623\u064a \u0646\u0642\u0637\u0629 \u0645\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-569f8d554a0f3704d247862d0b8ef852_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} \\\\[2ex] A\\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}} \\\\[2ex] B\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"210\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08ea38a7e09c81439fa1527cd45b3b45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dbc3e38427d29b2f4444ea732f955500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"78\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u064a \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629 \u0644\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0645\u062e\u062a\u0644\u0637 \u0644\u0644\u0645\u062a\u062c\u0647\u0627\u062a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b6be5a59bbf478047e4f3ace338ee48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}, \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648\u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0627\u0644\u0646\u0642\u0627\u0637<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/li>\n<li style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a151f35eca7cc81494de906050e773fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u064a\u0646 \u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637\u064a\u0646 \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0644\u062f\u064a\u0643 \u0627\u0644\u0635\u064a\u063a\u0629 \u0647\u0646\u0627\u060c \u0641\u0625\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646 \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627 \u0645\u0645\u0627 \u064a\u0628\u062f\u0648. \u0644\u0630\u0644\u0643 \u0625\u0630\u0627 \u0623\u0631\u062f\u062a \u0627\u0644\u062a\u062f\u0631\u0628 \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0643 \u0645\u0634\u0627\u0647\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0645\u0633\u0627\u0641\u0629-\u0628\u064a\u0646-\u062e\u0637\u064a\u0646-\u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646-\u0641\u064a-\u0641\u0636\u0627\u0621-\u0627\u0644\u0635\u064a\u063a\u0629\/\">\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646.<\/a><\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"distancia-de-un-punto-a-un-plano\"><\/span> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0627\u0644\u0637\u0627\u0626\u0631\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629) \u0644\u0644\u0645\u0633\u062a\u0648\u0649:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-224b2b4bb57594d3fa92e148ada43cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x_0,y_0,z_0) \\qquad \\qquad \\pi: \\ Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0645\u0633\u062a\u0648\u0649 \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b64bff234dc0303219098438374ed049_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle d(P,\\pi) = \\cfrac{\\lvert A\\cdot x_0+B\\cdot y_0+C\\cdot z_0+D\\rvert}{\\sqrt{A^2+B^2+C^2}} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-dun-point-a-un-plan-de-formule.webp\" alt=\"\u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0627\u0644\u0637\u0627\u0626\u0631\u0629\" class=\"wp-image-3471\" width=\"416\" height=\"218\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u062d\u0635\u0644\u0646\u0627 \u0628\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0639\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u062a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0628\u0648\u0636\u0648\u062d \u0623\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u064a \u0635\u0641\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u062c\u0632\u0621 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"distancia-entre-dos-planos\"><\/span> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0647\u0630\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 <strong>\u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646<\/strong> \u0623\u0648 <strong>\u0645\u062a\u0637\u0627\u0628\u0642\u064a\u0646<\/strong> \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646\u0647\u0645\u0627 \u062a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u0627\u064b \u0644\u0623\u0646\u0647\u0645\u0627 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0639\u064a\u0646\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 <strong>\u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646<\/strong> \u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0623\u062e\u0630 \u0646\u0642\u0637\u0629 \u0645\u0646 \u0623\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0622\u062e\u0631.<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u062a\u064a\u0646<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646 \u064a\u0643\u0648\u0646\u0627\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0644\u0630\u0627 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u062e\u0630 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0623\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0622\u062e\u0631. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-deux-plans-paralleles.webp\" alt=\"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u062a\u064a\u0646\" class=\"wp-image-2647\" width=\"401\" height=\"234\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0625\u064a\u062c\u0627\u062f \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0623\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u062b\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u0629 \u0648\u0645\u0633\u062a\u0648\u0649.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"angulos-en-el-espacio\"><\/span> \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u0627\u0644 \u0645\u0639 \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a\u060c \u0641\u0625\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u062c\u0633\u0645\u064a\u0646 \u0647\u0646\u062f\u0633\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u062e\u0635\u0627\u0626\u0635\u0647\u0645\u0627 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629. \u0644\u0623\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0647\u0627 \u062e\u0637\u0627\u0646 \u0644\u064a\u0633 \u0647\u0648 \u0646\u0641\u0633\u0647 \u062d\u0633\u0627\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0647\u0627 \u0645\u0633\u062a\u0648\u064a\u0627\u0646. \u0623\u062f\u0646\u0627\u0647 \u0644\u062f\u064a\u0643 \u0627\u0644\u0635\u064a\u063a \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"angulo-entre-dos-rectas\"><\/span> \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u062d\u0635\u0648\u0631\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0625\u0642\u0644\u064a\u062f\u064a\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644\u0647\u0627 \u0645\u062a\u062c\u0647\u0627\u062a \u0627\u062a\u062c\u0627\u0647\u0647\u0645\u0627\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u062e\u0637\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5680e9dcd5de0da47d99114178d1e104_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (\\text{u}_x,\\text{u}_y,\\text{u}_z)\\qquad \\vv{\\text{v}} = (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"267\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 <strong>\u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0647\u0627 \u0647\u0630\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646<\/strong> \u0628\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-622f3563061ace785425ae6d1982173c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert \\vv{\\text{u}} \\cdot \\vv{\\text{v}}\\rvert}{\\lvert \\vv{\\text{u}} \\rvert \\cdot \\lvert \\vv{\\text{v}} \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4501274336c637b37c6332eae5c6c229_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a59cd4f2581db3318d38a2a77340a64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u064a \u0648\u062d\u062f\u0627\u062a \u0645\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cac24ae79c1e4cbc459f01ed5e4f824e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u0649.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0635\u064a\u063a\u0629 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0be5c4e7144d561d9ade79448036d4dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{\\text{v}} \\rvert = \\sqrt{ \\text{v}_x^2+\\text{v}_y^2+\\text{v}_z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"155\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"angulo-entre-dos-planos\"><\/span> \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644\u0647\u0627 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0639\u0627\u062f\u064a\u0629 \u0644\u0644\u0637\u0627\u0626\u0631\u0627\u062a \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629. \u0644\u0630\u0644\u0643\u060c <strong>\u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646\u060c \u0646\u062d\u0633\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644\u0647\u0627 \u0645\u062a\u062c\u0647\u0627\u062a\u0647\u0627 \u0627\u0644\u0639\u0627\u062f\u064a\u0629\u060c \u0644\u0623\u0646\u0647\u0627 \u0645\u062a\u0643\u0627\u0641\u0626\u0629<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629) \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dfa3d7e6f1ece8353327be7c9227d75b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ A_1x+B_1y+C_1z+D_1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c3966346685421fe3e535cf57a5491d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ A_2x+B_2y+C_2z+D_2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0643\u0644 \u0645\u0633\u062a\u0648\u0649 \u0647\u0648 :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb0ca06882e0d61d6f8134368946ef29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_1=(A_1,B_1,C_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"133\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-22fba6a063a544bdf257e64d8d139238_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}_2=(A_2,B_2,C_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"133\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644\u0647\u0627 \u0647\u0627\u062a\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u062a\u0627\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644\u0647\u0627 \u0645\u062a\u062c\u0647\u0627\u062a\u0647\u0627 \u0627\u0644\u0639\u0627\u062f\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0329572a30e8d75bd3795469fe65493_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\cos(\\alpha) =\\cfrac{\\lvert \\vv{n}_1 \\cdot \\vv{n}_2\\rvert}{\\lvert \\vv{n}_1 \\rvert \\cdot \\lvert \\vv{n}_2 \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"angulo-entre-una-recta-y-un-plano\"><\/span> \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0647\u0627 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0639\u0644\u0649 \u0623\u0646\u0647\u0627 \u0623\u0635\u063a\u0631 \u0627\u0644\u0632\u0627\u0648\u064a\u062a\u064a\u0646 \u0627\u0644\u0645\u062a\u0643\u0627\u0645\u0644\u062a\u064a\u0646 \u0627\u0644\u0644\u062a\u064a\u0646 \u064a\u0634\u0643\u0644\u0647\u0645\u0627 \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0644\u0645\u0633\u062a\u0648\u0649.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637 \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-10affe1faee06a5faa4ef6d9c0473b1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0644\u0637\u0627\u0626\u0631\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3d9337731418dea7088ec8524a171d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} = (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff4913c070cdb4595d69fa08985a1b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n}=(n_x,n_y,n_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"119\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0647\u0627 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acbcd07e1439aae1a46f56592841d23c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\displaystyle \\text{sen}(\\alpha)=\\cfrac{\\lvert \\vv{\\text{v}} \\cdot \\vv{n}\\rvert}{\\lvert \\vv{\\text{v}} \\rvert \\cdot \\lvert \\vv{n} \\rvert} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0634\u0631\u062d\u064b\u0627 \u0644\u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0648\u0627\u0644\u0635\u064a\u063a): \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0648\u0627\u0644\u062e\u0637\u0648\u0637\u060c \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u0648\u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u060c&#8230; \u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u061f \u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u0641\u0636\u0627\u0621 \u0647\u064a \u0641\u0631\u0639 \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u0645\u0633\u0624\u0648\u0644 \u0639\u0646 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u062b\u0644\u0627\u062b\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f\u060c \u0623\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u0634\u063a\u0644 \u0645\u0643\u0627\u0646\u064b\u0627 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621. \u0645\u062b\u0644 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u060c \u0627\u0644\u0645\u0643\u0639\u0628\u060c \u0627\u0644\u0647\u0631\u0645\u060c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0627\u0644\u0635\u064a\u063a)<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[15],"tags":[],"class_list":["post-78","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u2705<\/title>\n<meta name=\"description\" content=\"\u2705 \u0634\u0631\u062d \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621: \u2705 \u0645\u0627\u0647\u064a\u062a\u0647\u0627\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a\u060c \u0627\u0644\u0632\u0648\u0627\u064a\u0627\u060c...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0635\u064a\u063a-\u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629-\u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629-\u0641\u064a-\u0627\u0644\u0641\u0636\u0627\u0621\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u2705\" \/>\n<meta property=\"og:description\" content=\"\u2705 \u0634\u0631\u062d \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621: \u2705 \u0645\u0627\u0647\u064a\u062a\u0647\u0627\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a\u060c \u0627\u0644\u0632\u0648\u0627\u064a\u0627\u060c...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0635\u064a\u063a-\u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629-\u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629-\u0641\u064a-\u0627\u0644\u0641\u0636\u0627\u0621\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-16T13:00:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-de-la-droite-1.webp\" \/>\n<meta name=\"author\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/\"},\"author\":{\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\"},\"headline\":\"\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0627\u0644\u0635\u064a\u063a)\",\"datePublished\":\"2023-09-16T13:00:39+00:00\",\"dateModified\":\"2023-09-16T13:00:39+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/\"},\"wordCount\":20,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"articleSection\":[\"\u0627\u0644\u0646\u0642\u0627\u0637 \u0648\u0627\u0644\u062e\u0637\u0648\u0637 \u0648\u0627\u0644\u0637\u0627\u0626\u0631\u0627\u062a\"],\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/\",\"url\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/\",\"name\":\"\u25b7 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u2705\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/#website\"},\"datePublished\":\"2023-09-16T13:00:39+00:00\",\"dateModified\":\"2023-09-16T13:00:39+00:00\",\"description\":\"\u2705 \u0634\u0631\u062d \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621: \u2705 \u0645\u0627\u0647\u064a\u062a\u0647\u0627\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a\u060c \u0627\u0644\u0632\u0648\u0627\u064a\u0627\u060c...\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#breadcrumb\"},\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ar\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0627\u0644\u0635\u064a\u063a)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ar\/#website\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"name\":\"Mathority\",\"description\":\"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ar\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ar\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/ar\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\",\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"\u0641\u0631\u064a\u0642 Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/ar\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u2705","description":"\u2705 \u0634\u0631\u062d \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621: \u2705 \u0645\u0627\u0647\u064a\u062a\u0647\u0627\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a\u060c \u0627\u0644\u0632\u0648\u0627\u064a\u0627\u060c...","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ar\/\u0627\u0644\u0635\u064a\u063a-\u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629-\u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629-\u0641\u064a-\u0627\u0644\u0641\u0636\u0627\u0621\/","og_locale":"ar_AR","og_type":"article","og_title":"\u25b7 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u2705","og_description":"\u2705 \u0634\u0631\u062d \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621: \u2705 \u0645\u0627\u0647\u064a\u062a\u0647\u0627\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a\u060c \u0627\u0644\u0632\u0648\u0627\u064a\u0627\u060c...","og_url":"https:\/\/mathority.org\/ar\/\u0627\u0644\u0635\u064a\u063a-\u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629-\u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629-\u0641\u064a-\u0627\u0644\u0641\u0636\u0627\u0621\/","article_published_time":"2023-09-16T13:00:39+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-de-la-droite-1.webp"}],"author":"\u0641\u0631\u064a\u0642 Mathority","twitter_card":"summary_large_image","twitter_misc":{"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629":"\u0641\u0631\u064a\u0642 Mathority"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/"},"author":{"name":"\u0641\u0631\u064a\u0642 Mathority","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613"},"headline":"\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0627\u0644\u0635\u064a\u063a)","datePublished":"2023-09-16T13:00:39+00:00","dateModified":"2023-09-16T13:00:39+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/"},"wordCount":20,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"articleSection":["\u0627\u0644\u0646\u0642\u0627\u0637 \u0648\u0627\u0644\u062e\u0637\u0648\u0637 \u0648\u0627\u0644\u0637\u0627\u0626\u0631\u0627\u062a"],"inLanguage":"ar","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/","url":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/","name":"\u25b7 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u2705","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/#website"},"datePublished":"2023-09-16T13:00:39+00:00","dateModified":"2023-09-16T13:00:39+00:00","description":"\u2705 \u0634\u0631\u062d \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621: \u2705 \u0645\u0627\u0647\u064a\u062a\u0647\u0627\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a\u060c \u0627\u0644\u0632\u0648\u0627\u064a\u0627\u060c...","breadcrumb":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#breadcrumb"},"inLanguage":"ar","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b5%d9%8a%d8%ba-%d8%a7%d9%84%d9%87%d9%86%d8%af%d8%b3%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ad%d9%84%d9%8a%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ar\/"},{"@type":"ListItem","position":2,"name":"\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0627\u0644\u0635\u064a\u063a)"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ar\/#website","url":"https:\/\/mathority.org\/ar\/","name":"Mathority","description":"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!","publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ar\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ar"},{"@type":"Organization","@id":"https:\/\/mathority.org\/ar\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/ar\/","logo":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613","name":"\u0641\u0631\u064a\u0642 Mathority","image":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"\u0641\u0631\u064a\u0642 Mathority"},"sameAs":["http:\/\/mathority.org\/ar"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/78","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/comments?post=78"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/78\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/media?parent=78"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/categories?post=78"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/tags?post=78"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}