{"id":214,"date":"2023-07-11T15:40:45","date_gmt":"2023-07-11T15:40:45","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%87%e3%82%ab%e3%83%ab%e3%83%88%e6%a5%b5%e5%86%86%e7%ad%92%e7%90%83%e5%ba%a7%e6%a8%99%e7%b3%bb\/"},"modified":"2023-07-11T15:40:45","modified_gmt":"2023-07-11T15:40:45","slug":"%e3%83%87%e3%82%ab%e3%83%ab%e3%83%88%e6%a5%b5%e5%86%86%e7%ad%92%e7%90%83%e5%ba%a7%e6%a8%99%e7%b3%bb","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%87%e3%82%ab%e3%83%ab%e3%83%88%e6%a5%b5%e5%86%86%e7%ad%92%e7%90%83%e5%ba%a7%e6%a8%99%e7%b3%bb\/","title":{"rendered":"\u5ea7\u6a19\u7cfb"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5ea7\u6a19\u7cfb\u3068\u306f\u4f55\u304b\u3092\u8aac\u660e\u3057\u3001\u3055\u3089\u306b\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u306b\u3064\u3044\u3066\u3059\u3079\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u4ed6\u306e\u30bf\u30a4\u30d7\u306e\u5ea7\u6a19\u7cfb (\u6975\u5ea7\u6a19\u7cfb\u3001\u5186\u7b52\u5ea7\u6a19\u7cfb\u3001\u7403\u9762\u5ea7\u6a19\u7cfb\u306a\u3069) \u3084\u5ea7\u6a19\u7cfb\u306e\u5b9f\u4e16\u754c\u306e\u5fdc\u7528\u4f8b\u3082\u7d39\u4ecb\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-sistema-de-coordenadas\"><\/span>\u5ea7\u6a19\u7cfb\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u521d\u306f\u3053\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u306e\u304c\u5c11\u3057\u96e3\u3057\u3044\u3067\u3059\u304c\u3001\u5ea7\u6a19\u7cfb\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p><strong>\u5ea7\u6a19\u7cfb\u306f\u3001<\/strong>\u70b9\u306e\u4f4d\u7f6e\u3092\u8b58\u5225\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u30b7\u30b9\u30c6\u30e0\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5e7e\u4f55\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u4f4d\u7f6e\u3092\u5b9a\u7fa9\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u5024\u306e\u30bb\u30c3\u30c8\u3067\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u98db\u884c\u6a5f\u304c\u98db\u884c\u3057\u3066\u3044\u308b\u4f4d\u7f6e\u306f\u3001\u6b21\u306e\u5ea7\u6a19\u7cfb\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/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\/quest-ce-quun-systeme-de-coordonnees.webp\" alt=\"\u5ea7\u6a19\u7cfb\u3068\u306f\u4f55\u3067\u3059\u304b\" class=\"wp-image-658\" width=\"348\" height=\"346\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3053\u306e\u5834\u5408\u3001\u5e73\u9762\u306f\u70b9 (5.3) \u306b\u3042\u308a\u307e\u3059\u3002 X \u5ea7\u6a19\u304c 5\u3001Y \u5ea7\u6a19\u304c 3 \u3067\u3042\u308b\u305f\u3081\u3067\u3059\u3002<\/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-6042f2d3f2552672e37a208d8f141b0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(5,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u70b9 (0,0) \u306f\u3001<strong>\u5ea7\u6a19\u8ef8\u306e\u958b\u59cb\u70b9\u3067<\/strong>\u3042\u308a\u3001\u5ea7\u6a19\u7cfb\u306e\u57fa\u6e96\u70b9\u3067\u3042\u308b\u305f\u3081\u3001\u5ea7\u6a19\u539f\u70b9\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<p>\u597d\u5947\u5fc3\u304b\u3089\u3067\u3059\u304c\u3001\u5ea7\u6a19\u7cfb\u3092\u767a\u660e\u3057\u305f\u6570\u5b66\u8005\u306f\u30d5\u30e9\u30f3\u30b9\u4eba\u306e\u30eb\u30cd\u30fb\u30c7\u30ab\u30eb\u30c8\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-cartesianas-en-el-plano\"><\/span>\u5e73\u9762\u5185\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u524d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u898b\u305f\u30b0\u30e9\u30d5\u306f\u3001\u5e73\u9762\u5185\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u306b\u5c5e\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u304c 2 \u6b21\u5143\u30b7\u30b9\u30c6\u30e0\u3067\u3042\u308b\u305f\u3081\u3001\u5e73\u9762\u5185\u306b\u3042\u308b\u3068\u8a00\u3048\u307e\u3059\u3002\u3064\u307e\u308a\u3001X \u8ef8\u3068 Y \u8ef8\u306e 2 \u3064\u306e\u8ef8\u3057\u304b\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p> X \u8ef8\u306f\u6c34\u5e73\u5ea7\u6a19\u306b\u5bfe\u5fdc\u3057\u3001Y \u8ef8\u306f\u5782\u76f4\u5ea7\u6a19\u3092\u8868\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u3001\u5ea7\u6a19\u3068\u3068\u3082\u306b\u30b0\u30e9\u30d5\u30a3\u30ab\u30eb\u306b\u8868\u73fe\u3055\u308c\u305f\u3044\u304f\u3064\u304b\u306e\u70b9\u3092\u793a\u3057\u307e\u3059\u3002 <\/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\/systeme-de-coordonnees-cartesiennes-du-plan.webp\" alt=\"\u5e73\u9762\u5185\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\" class=\"wp-image-664\" width=\"401\" height=\"362\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u30b0\u30e9\u30d5\u304b\u3089\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u5ea7\u6a19\u306f\u62ec\u5f27\u3067\u6570\u5024\u7684\u306b\u8868\u3055\u308c\u3001\u3055\u3089\u306b X \u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u6700\u521d\u306b\u914d\u7f6e\u3055\u308c\u3001\u6b21\u306b Y \u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u914d\u7f6e\u3055\u308c\u307e\u3059: (4,3)\u3002\u3055\u3089\u306b\u3001\u5ea7\u6a19\u306f\u6b63\u3001\u8ca0\u3001\u307e\u305f\u306f\u30bc\u30ed\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5ea7\u6a19\u7cfb\u306f\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u5ea7\u6a19\u8ef8\u306f\u3059\u3079\u3066\u540c\u3058\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u304c\u3001\u3044\u304f\u3064\u304b\u306e\u8a00\u3044\u65b9\u304c\u3067\u304d\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li> X \u8ef8\u306f\u3001\u6a2a\u8ef8\u307e\u305f\u306f OX \u8ef8\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/li>\n<li> Y \u8ef8\u306f\u3001y \u8ef8\u307e\u305f\u306f OY \u8ef8\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-cartesianas-en-el-espacio\"><\/span>\u7a7a\u9593\u5185\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e73\u9762\u5185\u3001\u3064\u307e\u308a 2 \u3064\u306e\u8ef8 (2 \u6b21\u5143) \u3092\u6301\u3064\u5ea7\u6a19\u7cfb\u3067\u70b9\u3092\u8868\u3059\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u3001\u73fe\u5b9f\u306f3\u6b21\u5143\uff08\u9ad8\u3055\u3001\u5e45\u3001\u5965\u884c\u304d\uff09\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u3067\u306f\u30013 \u6b21\u5143\u7a7a\u9593\u306f\u4e00\u822c\u306b\u3001\u4e92\u3044\u306b\u5782\u76f4\u306a 3 \u3064\u306e\u8ef8\u3092\u6301\u3064\u5ea7\u6a19\u7cfb\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li> X \u8ef8\u306f\u6df1\u3055\u3092\u8868\u3057\u307e\u3059\u3002<\/li>\n<li> Y \u8ef8\u306f\u5e45\u3092\u793a\u3057\u307e\u3059\u3002<\/li>\n<li> Z \u8ef8\u306f\u9ad8\u3055\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\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\/systeme-de-coordonnees-cartesiennes-dans-lespace.webp\" alt=\"3D \u7a7a\u9593\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\" class=\"wp-image-669\" width=\"396\" height=\"419\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u524d\u306e\u30b0\u30e9\u30d5\u8868\u793a\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u4efb\u610f\u306e\u70b9\u306e\u5ea7\u6a19\u306f\u3001\u554f\u984c\u306e\u70b9\u3068\u539f\u70b9 (0,0,0) \u306e\u9593\u306e\u8ddd\u96e2\u306e\u8ef8\u3078\u306e\u6295\u5f71\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-polares\"><\/span>\u6975\u5ea7\u6a19\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>2D \u307e\u305f\u306f 3D \u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u304c\u6700\u3082\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u5225\u306e\u30bf\u30a4\u30d7\u306e\u5ea7\u6a19\u7cfb\u3092\u4f7f\u7528\u3057\u305f\u65b9\u304c\u4fbf\u5229\u306a\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u6975\u5ea7\u6a19\u7cfb\u306f<\/strong>2 \u6b21\u5143\u306e\u53c2\u7167\u7cfb\u3067\u3042\u308a\u3001\u305d\u306e\u5ea7\u6a19\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bbd3dad8e9bf4fcf503ee96529d6e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5ea7\u6a19\u539f\u70b9\u3068\u70b9\u306e\u9593\u306e\u8ddd\u96e2\u3067\u3059\u3002\u3053\u308c\u3092\u52d5\u5f84\u5ea7\u6a19\u3068\u547c\u3073\u307e\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312a5a92e31e6e39fb0a2a2f56daa6b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\theta}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u70b9\u3068\u539f\u70b9\u3092\u901a\u308b\u7dda\u3068 X \u8ef8\u304c\u306a\u3059\u89d2\u5ea6\u3067\u3059\u3002\u3053\u308c\u306f\u89d2\u5ea6\u5ea7\u6a19\u307e\u305f\u306f\u65b9\u4f4d\u5ea7\u6a19\u3068\u547c\u3070\u308c\u307e\u3059\u3002 <\/li>\n<\/ul>\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\/systemes-de-coordonnees-polaires.webp\" alt=\"\u6975\u5ea7\u6a19\u7cfb\" class=\"wp-image-679\" width=\"227\" height=\"236\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u76f4\u4ea4\u5ea7\u6a19\u7cfb\u304b\u3089\u6975\u5ea7\u6a19\u7cfb\u306b\u7c21\u5358\u306b\u5207\u308a\u66ff\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-197\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u6975\u5ea7\u6a19\u3092\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u306b\u5909\u63db\u3059\u308b<\/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-0c979a6df1dcce26d502f711cec3bafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=r\\cdot\\text{cos}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/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-58c4d1f255bf1b333f5ea096c56cd073_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=r\\cdot\\text{sen}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u304b\u3089\u6975\u5ea7\u6a19\u3078\u306e\u5207\u308a\u66ff\u3048<\/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-21d7af3356d5313378cc53ac2ddccb15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r= \\sqrt{x^2+y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"107\" style=\"vertical-align: -5px;\"><\/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-d3b6050a358df0d194ba6e0341a7d3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta = \\text{arctan}\\left(\\frac{y}{x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"117\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-cilindricas\"><\/span>\u5186\u7b52\u5ea7\u6a19\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5186\u7b52\u5ea7\u6a19\u7cfb\u306f\u6975\u5ea7\u6a19\u7cfb\u306b\u975e\u5e38\u306b\u4f3c\u3066\u3044\u307e\u3059\u3002\u5b9f\u969b\u3001\u3053\u308c\u306f\u540c\u3058\u3053\u3068\u3067\u3059\u304c\u3001\u3082\u3046 1 \u3064\u306e\u5ea7\u6a19\u3001\u3064\u307e\u308a\u9ad8\u3055\u304c\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u5186\u7b52\u30d5\u30ec\u30fc\u30e0<\/strong>\u306f 3 \u6b21\u5143\u30d5\u30ec\u30fc\u30e0\u3001\u3064\u307e\u308a 3 \u3064\u306e\u5ea7\u6a19\u3092\u6301\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bbd3dad8e9bf4fcf503ee96529d6e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001XY \u5e73\u9762\u5185\u306e\u70b9\u306e\u6b63\u6295\u5f71\u3001\u3064\u307e\u308a Z \u8ef8\u304b\u3089\u306e\u70b9\u306e\u8ddd\u96e2\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312a5a92e31e6e39fb0a2a2f56daa6b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\theta}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6b63\u306e\u534a\u8ef8\u304c\u6210\u3059\u89d2\u5ea6\u3067\u3059<\/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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-552b9c264efd969e3ec2d40c6863744a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{z}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u70b9\u306e\u9ad8\u3055\u3067\u3042\u308a\u3001\u7a7a\u9593\u5185\u306e\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u306e\u540c\u3058\u5ea7\u6a19\u3067\u3059\u3002 <\/li>\n<\/ul>\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\/systeme-de-coordonnees-cylindrique.webp\" alt=\"\u5186\u7b52\u5ea7\u6a19\u7cfb\" class=\"wp-image-692\" width=\"304\" height=\"316\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u6b21\u306e\u516c\u5f0f\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u3092\u5186\u7b52\u5ea7\u6a19\u306b\u5909\u63db\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-200\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u5186\u7b52\u5ea7\u6a19\u3092\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u306b\u5909\u63db\u3059\u308b<\/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-0c979a6df1dcce26d502f711cec3bafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=r\\cdot\\text{cos}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/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-58c4d1f255bf1b333f5ea096c56cd073_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=r\\cdot\\text{sen}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/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-ccad145365777ca8f135037fffb943db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z = z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3092\u5186\u7b52\u5ea7\u6a19\u306b\u5909\u63db\u3059\u308b<\/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-21d7af3356d5313378cc53ac2ddccb15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r= \\sqrt{x^2+y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"107\" style=\"vertical-align: -5px;\"><\/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-d3b6050a358df0d194ba6e0341a7d3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta = \\text{arctan}\\left(\\frac{y}{x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"117\" style=\"vertical-align: -12px;\"><\/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-ccad145365777ca8f135037fffb943db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z = z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-esfericas\"><\/span>\u7403\u9762\u5ea7\u6a19\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001\u7403\u9762\u5ea7\u6a19\u7cfb\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5ea7\u6a19\u7cfb\u306f\u6975\u5ea7\u6a19\u3084\u5186\u7b52\u5ea7\u6a19\u306b\u3082\u3088\u304f\u4f3c\u3066\u3044\u307e\u3059\u304c\u3001\u660e\u3089\u304b\u306b\u305d\u308c\u3089\u3068\u306f\u3044\u304f\u3064\u304b\u306e\u9055\u3044\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u7403\u9762\u5ea7\u6a19\u7cfb\u306f<\/strong>3 \u6b21\u5143\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u30b7\u30b9\u30c6\u30e0\u3067\u3042\u308b\u305f\u3081\u3001\u6b21\u306e 3 \u3064\u306e\u5ea7\u6a19\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bbd3dad8e9bf4fcf503ee96529d6e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u539f\u70b9\u304b\u3089\u70b9\u307e\u3067\u306e\u8ddd\u96e2 (R3 \u5185\u306e) \u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312a5a92e31e6e39fb0a2a2f56daa6b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\theta}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> X \u8ef8\u306e\u6b63\u306e\u90e8\u5206\u304c\u7dda\u3068\u306a\u3059\u89d2\u5ea6\u3067\u3059\u3002<\/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> XY \u5e73\u9762\u306b\u6295\u5f71\u3055\u308c\u307e\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d025a4c6fa30260228557b9899b6ed95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\phi}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> Z \u8ef8\u306e\u6b63\u306e\u90e8\u5206\u3068\u76f4\u7dda\u306e\u9593\u306e\u89d2\u5ea6\u3067\u3059\u3002 <\/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<\/ul>\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\/systeme-de-coordonnees-spheriques.webp\" alt=\"\u7403\u9762\u5ea7\u6a19\u7cfb\" class=\"wp-image-698\" width=\"321\" height=\"310\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u7403\u9762\u5ea7\u6a19\u3068\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3092\u5207\u308a\u66ff\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-203\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u7403\u9762\u5ea7\u6a19\u3092\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u306b\u5909\u63db\u3059\u308b<\/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-e77b37ce6c4d5efc6f0ac34e0c6d1cd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=r\\cdot\\text{cos}(\\theta)\\cdot\\text{sen}(\\phi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"163\" style=\"vertical-align: -5px;\"><\/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-219ca466e17404eda7a11f1955277863_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=r\\cdot \\text{sen}(\\theta)\\cdot\\text{sen}(\\phi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"163\" style=\"vertical-align: -5px;\"><\/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-35ab46e7ae38282021bdccc29cfd6d22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z = r\\cdot\\text{cos}(\\phi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3092\u7403\u5ea7\u6a19\u306b\u5909\u63db\u3059\u308b<\/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-94148711df57a647d357b081e42e05a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r= \\sqrt{x^2+y^2+z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"145\" style=\"vertical-align: -5px;\"><\/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-d3b6050a358df0d194ba6e0341a7d3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta = \\text{arctan}\\left(\\frac{y}{x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"117\" style=\"vertical-align: -12px;\"><\/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-e170d40bec9371824b72ef026c7c6d87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\phi = \\text{arctan}\\left(\\frac{\\sqrt{x^2+y^2}}{z}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"189\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"aplicaciones-reales-del-sistema-de-coordenadas\"><\/span>\u5ea7\u6a19\u7cfb\u306e\u5b9f\u4e16\u754c\u3078\u306e\u5fdc\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5ea7\u6a19\u7cfb\u306f\u5b9f\u751f\u6d3b\u3067\u3082\u4f7f\u7528\u3055\u308c\u308b\u305f\u3081\u3001\u6570\u5b66\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5730\u56f3\u4e0a\u306e\u7269\u4f53\u3001\u4eba\u3001\u3055\u3089\u306b\u306f\u5834\u6240\u306e\u4f4d\u7f6e\u3092\u7279\u5b9a\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u5b9f\u969b\u3001GPS \u306f\u5ea7\u6a19\u7cfb\u306e\u304a\u304b\u3052\u3067\u5b58\u5728\u3057\u307e\u3059\u3002\u5730\u7403\u4e0a\u306e\u4f4d\u7f6e\u3092\u77e5\u308b\u305f\u3081\u306b GPS \u304c\u4f7f\u7528\u3055\u308c\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001GPS \u5730\u7406\u5ea7\u6a19\u306f\u7def\u5ea6\u3068\u7d4c\u5ea6\u306e 2 \u3064\u306e\u8981\u7d20\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u7def\u5ea6 (\u5317\u307e\u305f\u306f\u5357) \u3068\u7d4c\u5ea6 (\u6771\u307e\u305f\u306f\u897f) \u306f\u3001\u5730\u7403\u306e\u4e2d\u5fc3\u3068\u73fe\u5728\u5730\u306e\u9593\u306e\u89d2\u5ea6\u3092\u6e2c\u5b9a\u3059\u308b 2 \u3064\u306e\u89d2\u5ea6\u5ea7\u6a19\u3067\u3059\u3002\u3069\u3061\u3089\u3082\u300110 \u9032\u5ea7\u6a19\u307e\u305f\u306f 60 \u9032\u5ea7\u6a19\u306e\u5ea6\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5ea7\u6a19\u7cfb\u3068\u306f\u4f55\u304b\u3092\u8aac\u660e\u3057\u3001\u3055\u3089\u306b\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u306b\u3064\u3044\u3066\u3059\u3079\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u4ed6\u306e\u30bf\u30a4\u30d7\u306e\u5ea7\u6a19\u7cfb (\u6975\u5ea7\u6a19\u7cfb\u3001\u5186\u7b52\u5ea7\u6a19\u7cfb\u3001\u7403\u9762\u5ea7\u6a19\u7cfb\u306a\u3069) \u3084\u5ea7\u6a19\u7cfb\u306e\u5b9f\u4e16\u754c\u306e\u5fdc\u7528\u4f8b\u3082\u7d39\u4ecb\u3057\u307e\u3059\u3002 \u5ea7\u6a19\u7cfb\u3068\u306f\u4f55\u3067\u3059\u304b? 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