{"id":234,"date":"2023-07-10T20:13:15","date_gmt":"2023-07-10T20:13:15","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/"},"modified":"2023-07-10T20:13:15","modified_gmt":"2023-07-10T20:13:15","slug":"%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/","title":{"rendered":"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u044f\u0445: \u0447\u0442\u043e \u043e\u043d\u0438 \u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u043e\u0432\u043f\u0430\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439, \u0438\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0438 \u0442.\u0434. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-dos-rectas-coincidentes\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0414\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u2013 \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0432\u0441\u0435 \u0442\u043e\u0447\u043a\u0438 \u043e\u0431\u0449\u0438\u0435.<\/strong> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u043e \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u044b.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043d\u0438\u0436\u0435 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438, \u043d\u043e \u0432\u044b \u0432\u0438\u0434\u0438\u0442\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u0443, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u043d\u0438 \u043f\u0435\u0440\u0435\u043a\u0440\u044b\u0432\u0430\u044e\u0442\u0441\u044f (\u043e\u043d\u0438 \u0440\u0430\u0432\u043d\u044b). <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-coincident-lignes.webp\" alt=\"\" class=\"wp-image-1646\" width=\"197\" height=\"175\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0414\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0432\u0441\u0435\u0433\u0434\u0430 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u043d\u043e \u0438 \u0442\u043e \u0436\u0435 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u043d\u0438 \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0442 \u0443\u0433\u043e\u043b 0\u00b0.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 4 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0432 \u043f\u043e\u043d\u044f\u0442\u0438\u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438: \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u043c\u0438,  \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438  ,  \u0441\u0435\u043a\u0443\u0449\u0438\u043c\u0438  \u0438  \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u043c\u0438  . \u0415\u0441\u043b\u0438 \u0445\u043e\u0442\u0438\u0442\u0435, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043b\u0438\u043d\u0438\u0439 \u0438 \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 \u043f\u043e \u044d\u0442\u0438\u043c \u0442\u0440\u0435\u043c \u0441\u0441\u044b\u043b\u043a\u0430\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-saber-si-dos-rectas-son-coincidentes\"><\/span> \u041a\u0430\u043a \u0443\u0437\u043d\u0430\u0442\u044c, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0417\u043d\u0430\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u043e\u0433\u0434\u0430 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438, \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0442\u043e\u0433\u043e, \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442\u0435 \u043b\u0438 \u0432\u044b \u0441 \u0434\u0432\u0443\u043c\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438 (\u0432 R2) \u0438\u043b\u0438 \u0441 \u0442\u0440\u0435\u043c\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438 (\u0432 R3). <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"determinar-dos-rectas-coincidentes-en-el-plano\"><\/span> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u043c \u0432 \u0434\u0432\u0443\u043c\u0435\u0440\u043d\u043e\u043c (2D) \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435, \u043e\u0447\u0435\u043d\u044c \u043b\u0435\u0433\u043a\u043e \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u043e\u0433\u0434\u0430 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442, \u0430 \u043a\u043e\u0433\u0434\u0430 \u043e\u043d\u0438 \u043d\u0435 \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u044e\u0442 \u0438\u0437 <strong>\u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f<\/strong> \u0438\u043b\u0438 <strong><strong>\u044f\u0432\u043d\u043e\u0433\u043e<\/strong> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f<\/strong> \u043b\u0438\u043d\u0438\u0438.<\/p>\n<p> \u041f\u043e\u043c\u0438\u043c\u043e \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432, \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0441\u043e\u0432\u043f\u0430\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439, \u0440\u0435\u0448\u0438\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u0443\u044e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439 (\u0435\u0441\u043b\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0434\u0430\u0435\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u044b\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u043d\u0438 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442). \u041d\u043e \u044d\u0442\u0430 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430 \u0431\u043e\u043b\u0435\u0435 \u0441\u043b\u043e\u0436\u043d\u0430\u044f \u0438 \u0442\u0440\u0443\u0434\u043e\u0435\u043c\u043a\u0430\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043d\u0435 \u0431\u0443\u0434\u0435\u043c \u0435\u0435 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0435\u0435 \u043b\u0443\u0447\u0448\u0435 \u0434\u0435\u043b\u0430\u0442\u044c \u0438\u0437 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f. <\/p>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a-partir-de-la-ecuacion-implicita-o-general-de-la-recta\"><\/span> \u0418\u0437 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e (\u0438\u043b\u0438 \u043e\u0431\u0449\u0435\u0433\u043e) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> \u041e\u0434\u0438\u043d \u0438\u0437 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438, \u2014 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043d\u0435\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438, \u0442\u0430\u043a\u0436\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435 \u043a\u0430\u043a \u043e\u0431\u0449\u0435\u0435 \u0438\u043b\u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435.<\/p>\n<p> \u041d\u0435\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041d\u0443 <strong>, \u0435\u0441\u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u0442\u0440\u0438 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430 (\u0410, \u0412 \u0438 \u0421)<\/strong> , \u0442\u043e \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u043d\u0438 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce8e0c71142b89e0985aa730b40f15db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ Ax+By+C=0 \\qquad \\qquad s: \\ A'x+B'y+C'=0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"417\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-38af209a728e212f09684571275aa91e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{A}{A'} = \\cfrac{B}{B'}= \\cfrac{C}{C'} \\quad \\longrightarrow \\quad \\bm{r} \\text{ y } \\bm{s} \\text{ son coincidentes}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"349\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0441\u0442\u0440\u043e\u043a\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67280ad255ed8320fb340756b25bed0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ 4x+6y-2=0 \\qquad \\qquad s: \\ 2x+3y-1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"373\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0410 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u043e\u043d\u0438 \u043f\u043e\u0442\u043e\u043c\u0443, \u0447\u0442\u043e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b A, B \u0438 C \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96271c1670f39bd2f0b064b928e5bbf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{2} = \\cfrac{6}{3}= \\cfrac{-2}{-1}= 2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"131\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a-partir-de-la-ecuacion-explicita-de-la-recta\"><\/span> \u0418\u0437 \u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> \u0414\u0440\u0443\u0433\u043e\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u0443\u0437\u043d\u0430\u0442\u044c, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435, \u2014 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438. \u041d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e4adcc4368f6296906b6231bf17a6a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> <strong>\u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d<\/strong> (\u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 m) <strong>\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442<\/strong> (\u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 n), \u043e\u043d\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u0432\u0435 \u043e\u0431\u044a\u0435\u0434\u0438\u043d\u0435\u043d\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-118d5497956dca1ee066f6df259638a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ y=m_rx+n_r \\qquad \\qquad s: \\ y=m_sx+n_s\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"339\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b5e5f16e9b8d4a399ff746d166ec46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c} m_r = m_s \\\\[2ex] n_r=n_s \\end{array} \\right\\} \\longrightarrow \\ \\bm{r} \\text{ y } \\bm{s} \\text{ son  coincidentes}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"306\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0438\u0437\u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e \u043e\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u044b \u0438 \u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f866703bb2cd8358ae2c77517f113dec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ y=3x-1 \\qquad \\qquad s: \\ y=3x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"293\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u0443\u0435\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u0431\u044b \u043e\u043d\u0438 \u0438\u043c\u0435\u043b\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d, \u043d\u043e \u0440\u0430\u0437\u043d\u044b\u0439 \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, \u043e\u043d\u0438 \u0431\u044b\u043b\u0438 \u0431\u044b \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438, \u0430 \u043d\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u043c\u0438 \u043b\u0438\u043d\u0438\u044f\u043c\u0438.<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043a\u0430\u043a \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u0434\u0435\u0442\u044c \u0432 \u043f\u0440\u0438\u043c\u0435\u0440\u0435, \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u043d\u043e \u0438 \u0442\u043e \u0436\u0435 \u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u042d\u0442\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c\u043e \u043a \u043b\u044e\u0431\u043e\u043c\u0443 \u0442\u0438\u043f\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438: \u0435\u0441\u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u0432 \u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u043d\u0438 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hallar-dos-rectas-coincidentes-en-el-espacio\"><\/span> \u043d\u0430\u0439\u0442\u0438 \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0412\u044b\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u0439 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 R3) \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u0432\u044b\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 (\u0432 R2), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0430\u0441\u0447\u0435\u0442\u044b \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u0435\u0441\u0442\u0438 \u0441 \u0435\u0449\u0435 \u043e\u0434\u043d\u043e\u0439 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043e\u0439. \u0418\u0442\u0430\u043a, \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f:<\/p>\n<p> \u0414\u0430\u043d\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u043b\u0438\u043d\u0438\u0439 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ed891adcd2a9eb85e22808c151a857_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} \\qquad \\qquad s: \\ \\begin{cases} A_1'x+B_1'y+C_1'z+D_1'=0 \\\\[2ex]A_2'x+B_2'y+C_2'z+D_2'=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"601\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 \u043f\u0443\u0441\u0442\u044c M \u0438 M&#8217; \u2014 \u043c\u0430\u0442\u0440\u0438\u0446\u044b, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 \u0441\u0442\u0440\u043e\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cb73091f41e0751855a8e1b7e73ac4d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M=\\begin{pmatrix} A_1&amp;B_1&amp;C_1\\\\[1.1ex]A_2&amp;B_2&amp;C_2 \\\\[1.1ex]A_1'&amp;B_1'&amp;C_1'\\\\[1.1ex]A_2'&amp;B_2'&amp;C_2' \\end{pmatrix}\\qquad \\qquad M'=\\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_1'&amp;B_1'&amp;C_1'&amp;D_1'\\\\[1.1ex]A_2'&amp;B_2'&amp;C_2'&amp;D_2' \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"450\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u043e\u0433\u0434\u0430, <strong>\u0435\u0441\u043b\u0438 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446 M \u0438 M&#8217; \u0440\u0430\u0432\u0435\u043d 2, \u0434\u0432\u0435 \u0441\u0442\u0440\u043e\u043a\u0438 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ec4a947fabe774c5f2e3bbfd05ddcd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(M)=rg(M') = 2 \\ \\longrightarrow \\ \\bm{r} \\text{ y } \\bm{s} \\text{ son coincidentes}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"381\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u0439 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u043e\u0433\u043e \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c:<\/p>\n<ul>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u043b\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0441\u0442\u0440\u043e\u043a\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a81fab3c2adb66dc44c4c31384838ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x+2y+z+3=0 \\\\[2ex]3x+4y+z+8=0 \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} x-z+2=0 \\\\[2ex]2y+2z+1=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"457\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041c\u0430\u0442\u0440\u0438\u0446\u0430 M \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 M&#8217; \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0441\u0442\u0440\u043e\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4451bc436023267251b927f54717d02d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M=\\begin{pmatrix} 1&amp;2&amp;1 \\\\[1.1ex]3&amp;4&amp;1 \\\\[1.1ex]1&amp;0&amp;-1\\\\[1.1ex]0&amp;2&amp;2\\end{pmatrix}\\qquad \\qquad M'=\\begin{pmatrix} 1&amp;2&amp;1&amp;3 \\\\[1.1ex]3&amp;4&amp;1&amp;8 \\\\[1.1ex]1&amp;0&amp;-1&amp;2\\\\[1.1ex]0&amp;2&amp;2&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"392\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u043b\u0438 \u043e\u0431\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u043a\u0430\u0436\u0434\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9ea6ecf0646ec24eef5f5aee77cced9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(M)=2 \\qquad \\qquad rg(M') = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u043d\u0433\u0438 \u0434\u0432\u0443\u0445 \u043c\u0430\u0442\u0440\u0438\u0446 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u044b \u0438, \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u043e\u043d\u0438 \u0440\u0430\u0432\u043d\u044b 2. <strong>\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0434\u0432\u0435 \u0441\u0442\u0440\u043e\u043a\u0438 \u043f\u0443\u0442\u0430\u044e\u0442\u0441\u044f.<\/strong> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ec4a947fabe774c5f2e3bbfd05ddcd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(M)=rg(M') = 2 \\ \\longrightarrow \\ \\bm{r} \\text{ y } \\bm{s} \\text{ son coincidentes}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"381\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-rectas-coincidentes\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> \u0412\u0435\u043a\u0442\u043e\u0440\u044b \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f (\u0432\u0435\u043a\u0442\u043e\u0440, \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0449\u0438\u0439 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438) \u0434\u0432\u0443\u0445 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u0439 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043b\u0438\u043d\u0435\u0439\u043d\u043e \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b. \u042d\u0442\u0438\u043c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e\u043c \u043e\u0431\u043b\u0430\u0434\u0430\u044e\u0442 \u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438.<\/li>\n<\/ul>\n<ul>\n<li> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u0432\u0435\u043a\u0442\u043e\u0440\u044b \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435.<\/li>\n<\/ul>\n<ul>\n<li> \u0414\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0430\u044e\u0442\u0441\u044f \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u043b\u0438\u043d\u0438\u0435\u0439.<\/li>\n<\/ul>\n<ul>\n<li> \u0412 \u044d\u0442\u043e\u043c \u0441\u043c\u044b\u0441\u043b\u0435 \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u043e\u0431\u0449\u0435\u0435. \u0418, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044f\u043c\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b.<\/li>\n<\/ul>\n<ul>\n<li> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440\u043d\u044b, \u0442\u043e \u0435\u0441\u0442\u044c \u043b\u0435\u0436\u0430\u0442 \u0432 \u043e\u0434\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u044f\u0445: \u0447\u0442\u043e \u043e\u043d\u0438 \u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u043e\u0432\u043f\u0430\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439, \u0438\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0438 \u0442.\u0434. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435? \u0414\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u2013 \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0432\u0441\u0435 \u0442\u043e\u0447\u043a\u0438 \u043e\u0431\u0449\u0438\u0435. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u043e \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u044b. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/\"> <span class=\"screen-reader-text\">\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &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-234","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>\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c<\/title>\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\/ru\/\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u0438-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445-\u043b\u0438\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c\" \/>\n<meta property=\"og:description\" content=\"\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u044f\u0445: \u0447\u0442\u043e \u043e\u043d\u0438 \u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u043e\u0432\u043f\u0430\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439, \u0438\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0438 \u0442.\u0434. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435? \u0414\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u2013 \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0432\u0441\u0435 \u0442\u043e\u0447\u043a\u0438 \u043e\u0431\u0449\u0438\u0435. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u043e \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u044b. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, &hellip; \u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ru\/\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u0438-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445-\u043b\u0438\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T20:13:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-coincident-lignes.webp\" \/>\n<meta name=\"author\" content=\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/\"},\"author\":{\"name\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b\"},\"headline\":\"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438\",\"datePublished\":\"2023-07-10T20:13:15+00:00\",\"dateModified\":\"2023-07-10T20:13:15+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/\"},\"wordCount\":627,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ru\/#organization\"},\"articleSection\":[\"\u0422\u043e\u0447\u043a\u0438, \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438\"],\"inLanguage\":\"ru-RU\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/\",\"url\":\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/\",\"name\":\"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ru\/#website\"},\"datePublished\":\"2023-07-10T20:13:15+00:00\",\"dateModified\":\"2023-07-10T20:13:15+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#breadcrumb\"},\"inLanguage\":\"ru-RU\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ru\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ru\/#website\",\"url\":\"https:\/\/mathority.org\/ru\/\",\"name\":\"Mathority\",\"description\":\"\u0413\u0434\u0435 \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u0441\u0442\u0432\u043e \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044f \u0441 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u043c!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ru\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ru\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ru-RU\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/ru\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/ru\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b\",\"name\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\"},\"sameAs\":[\"http:\/\/mathority.org\/ru\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c","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\/ru\/\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u0438-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445-\u043b\u0438\/","og_locale":"ru_RU","og_type":"article","og_title":"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c","og_description":"\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043b\u0438\u043d\u0438\u044f\u0445: \u0447\u0442\u043e \u043e\u043d\u0438 \u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u043e\u0432\u043f\u0430\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439, \u0438\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0438 \u0442.\u0434. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435? \u0414\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u2013 \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0432\u0441\u0435 \u0442\u043e\u0447\u043a\u0438 \u043e\u0431\u0449\u0438\u0435. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0432\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u043e \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u044b. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, &hellip; \u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;","og_url":"https:\/\/mathority.org\/ru\/\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u0438-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445-\u043b\u0438\/","article_published_time":"2023-07-10T20:13:15+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-coincident-lignes.webp"}],"author":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/"},"author":{"name":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b"},"headline":"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438","datePublished":"2023-07-10T20:13:15+00:00","dateModified":"2023-07-10T20:13:15+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/"},"wordCount":627,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/ru\/#organization"},"articleSection":["\u0422\u043e\u0447\u043a\u0438, \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438"],"inLanguage":"ru-RU","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/","url":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/","name":"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c","isPartOf":{"@id":"https:\/\/mathority.org\/ru\/#website"},"datePublished":"2023-07-10T20:13:15+00:00","dateModified":"2023-07-10T20:13:15+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#breadcrumb"},"inLanguage":"ru-RU","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b8-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d0%be%d0%b2%d0%bf%d0%b0%d0%b4%d0%b0%d1%8e%d1%89%d0%b8%d1%85-%d0%bb%d0%b8\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ru\/"},{"@type":"ListItem","position":2,"name":"\u0421\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435 \u043b\u0438\u043d\u0438\u0438"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ru\/#website","url":"https:\/\/mathority.org\/ru\/","name":"Mathority","description":"\u0413\u0434\u0435 \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u0441\u0442\u0432\u043e \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044f \u0441 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u043c!","publisher":{"@id":"https:\/\/mathority.org\/ru\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ru\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ru-RU"},{"@type":"Organization","@id":"https:\/\/mathority.org\/ru\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/ru\/","logo":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b","name":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","image":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430"},"sameAs":["http:\/\/mathority.org\/ru"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts\/234","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/comments?post=234"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts\/234\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/media?parent=234"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/categories?post=234"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/tags?post=234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}