{"id":1396,"date":"2024-09-23T14:58:52","date_gmt":"2024-09-23T12:58:52","guid":{"rendered":"https:\/\/solveredu.com\/?p=1396"},"modified":"2026-01-27T23:39:20","modified_gmt":"2026-01-27T22:39:20","slug":"steiner-s-theorem","status":"publish","type":"post","link":"https:\/\/solveredu.com\/ja\/post\/twierdzenie-steinera\/","title":{"rendered":"\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406"},"content":{"rendered":"<p class=\"wp-block-paragraph\" id=\"foo\">\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u305d\u308c\u3092\u5b9f\u969b\u306b\u3069\u306e\u3088\u3046\u306b\u9069\u7528\u3059\u308b\u304b\u3092\u5b66\u3076\u3002.<\/p>\n\n\n\n<ol id=\"91wpyzoaaa5swa1375982\" class=\"wp-block-list\">\n<li><a href=\"#1qctj\">\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406 - \u5b9a\u7fa9<\/a><\/li>\n\n\n\n<li><a href=\"#fehhb35357\">\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406 - \u5fdc\u7528\u4f8b<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"1qctj\" class=\"wp-block-heading has-large-font-size\">\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406 - \u5b9a\u7fa9<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f\u4e2d\u5fc3\u8ef8\u306b\u5e73\u884c\u306a\u8ef8\u3001\u3064\u307e\u308a\u56f3\u5f62\u306e\u91cd\u5fc3\u3092\u901a\u308b\u8ef8\u306b\u5bfe\u3059\u308b\u5e73\u9762\u56f3\u5f62\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3002.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"547\" data-attachment-id=\"1400\" data-permalink=\"https:\/\/solveredu.com\/ja\/post\/twierdzenie-steinera\/steiner3-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?fit=1088%2C581&amp;ssl=1\" data-orig-size=\"1088,581\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Steiner3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?fit=1024%2C547&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=1024%2C547&#038;ssl=1\" alt=\"\u30b9\u30c6\u30fc\u30ca\u30fc\u306e\u5b9a\u7406, SolverEdu\" class=\"wp-image-1400\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=1024%2C547&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=300%2C160&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=768%2C410&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?w=1088&amp;ssl=1 1088w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"xjpzr30153\">\u4e0a\u56f3\u306e\u901a\u308a\u3060\u3001, <strong>\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406<\/strong> \u3092\u4f7f\u3048\u3070\u3001\u56f3\u5f62\u306e\u4e2d\u5fc3\u8ef8\u304b\u3089\u96e2\u308c\u305f\u4efb\u610f\u306e\u5e73\u884c\u8ef8\u306b\u95a2\u3059\u308b\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u8a08\u7b97\u3067\u304d\u308b\u3002A \u201e\u306e\u9762\u7a4d\u306b\u8ef8\u306e\u8ddd\u96e2\u30922\u4e57\u3057\u305f\u3082\u306e\u3092\u52a0\u3048\u308c\u3070\u3001\u4e2d\u5fc3\u8ef8\u306b\u5bfe\u3059\u308b\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5024\u304c\u308f\u304b\u308b\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"b0q6f33254\">\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406\u306b\u3088\u308b\u504f\u5dee\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u3001\u4e2d\u5fc3\u8ef8\u306b\u5bfe\u3059\u308b\u56f3\u5f62\u306e\u504f\u5dee\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u5024\u306b\u3001\u9762\u7a4d\u3068\u300ca\u300d\u8ef8\u3068\u300cb\u300d\u8ef8\u306e\u8ddd\u96e2\u306e\u7a4d\u3092\u52a0\u3048\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u308b\u3002.<\/p>\n\n\n\n<h2 id=\"fehhb35357\" class=\"wp-block-heading has-medium-font-size\">\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406 - \u5fdc\u7528\u4f8b<\/h2>\n\n\n\n<figure style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\" class=\"wp-block-table\"><table class=\"has-theme-5-background-color has-text-color has-background has-link-color has-fixed-layout\" style=\"color:#ffffff\"><tbody><tr><td>\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u305f\u96fb\u8377\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u4f7f\u7528\u3068\u8a08\u7b97\u306e\u4f8b\u306f\u3001\u79c1\u306e\u8a08\u7b97\u6a5f\u3067\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002 <a href=\"https:\/\/solveredu.com\/ja\/moment-of-inertia-calculator\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u>\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8<\/u><\/a>. .\u3054\u81ea\u7531\u306b\u304a\u4f7f\u3044\u304f\u3060\u3055\u3044\u3002<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"du0jt36071\">\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406\u306e\u5fdc\u7528\u4f8b\u3068\u3057\u3066\u3001\u4e0b\u56f3\u306b\u793a\u3059\u8fbab1\u3068h1\u306e\u9577\u65b9\u5f62\u3092\u5206\u6790\u3057\u3066\u307f\u3088\u3046\u3002\u9577\u65b9\u5f62\u306e\u3088\u3046\u306a\u5358\u7d14\u306a\u56f3\u5f62\u306e\u6b21\u6570\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u516c\u5f0f\u306f\u3001\u3053\u306e\u4e2d\u306b\u3042\u308b\u3002 <a href=\"https:\/\/solveredu.com\/ja\/post\/second-moment-of-area\/\">\u30a8\u30f3\u30c8\u30ea\u30fc<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"553\" height=\"585\" data-attachment-id=\"1401\" data-permalink=\"https:\/\/solveredu.com\/ja\/post\/twierdzenie-steinera\/steiner4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?fit=553%2C585&amp;ssl=1\" data-orig-size=\"553,585\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Steiner4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?fit=553%2C585&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?resize=553%2C585&#038;ssl=1\" alt=\"\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u305fx\u8ef8\u3068y\u8ef8\u306e\u6163\u6027\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u8a08\u7b97 - \u89e3\u7b54\u4f8b, SolverEdu\" class=\"wp-image-1401\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?w=553&amp;ssl=1 553w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?resize=284%2C300&amp;ssl=1 284w\" sizes=\"auto, (max-width: 553px) 100vw, 553px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"343\" data-attachment-id=\"1402\" data-permalink=\"https:\/\/solveredu.com\/ja\/post\/twierdzenie-steinera\/steiner5\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?fit=1118%2C375&amp;ssl=1\" data-orig-size=\"1118,375\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Steiner5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?fit=1024%2C343&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=1024%2C343&#038;ssl=1\" alt=\"\u9577\u65b9\u5f62\u306e\u91cd\u5fc3, SolverEdu\" class=\"wp-image-1402\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=1024%2C343&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=300%2C101&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=768%2C258&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?w=1118&amp;ssl=1 1118w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>","protected":false},"excerpt":{"rendered":"<p>W tym artykule dowiesz si\u0119 co to jest Twierdzenie Steinera oraz jak je zastosowa\u0107 w praktyce. Twierdzenie Steinera &#8211; definicja Twierdzenie Steinera umo\u017cliwia wyliczenie momentu bezw\u0142adno\u015bci p\u0142askiej figury wzgl\u0119dem osi, kt\u00f3ra jest r\u00f3wnoleg\u0142a do danej osi centralnej, czyli przechodz\u0105cej przez \u015brodek ci\u0119\u017cko\u015bci figury. Zgodnie z rysunkiem powy\u017cej, Twierdzenie Steinera pozwala nam obliczy\u0107 moment bezw\u0142adno\u015bci wzgl\u0119dem dowolnej r\u00f3wnoleg\u0142ej osi oddalonej od osi centralnej naszej figury. Znaj\u0105c warto\u015b\u0107 momentu wzgl\u0119dem osi centralnej je\u015bli dodamy do niego pole powierzchni figury &#8222;A&#8221; pomno\u017cony przez odleg\u0142o\u015b\u0107 osi do kwadratu. Moment dewiacji wed\u0142ug Twierdzenia Steinera obliczamy dodaj\u0105c do warto\u015bci momentu dewiacji figury wzgl\u0119dem osi centralnych iloczyn pola powierzchni oraz odleg\u0142o\u015bci osi &#8222;a&#8221; i &#8222;b&#8221;. Twierdzenie Steinera [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1398,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[14815],"tags":[14867,14853,14866,14852],"class_list":["post-1396","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","tag-moment-bezwladnosci","tag-moment-statyczny","tag-twierdzenie-stainera","tag-srodek-ciezkosci"],"jetpack_publicize_connections":[],"jetpack_shortlink":"https:\/\/wp.me\/pg3flK-mw","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3.jpg?fit=1088%2C581&ssl=1","_links":{"self":[{"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/posts\/1396","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/comments?post=1396"}],"version-history":[{"count":8,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/posts\/1396\/revisions"}],"predecessor-version":[{"id":3069,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/posts\/1396\/revisions\/3069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/media\/1398"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/media?parent=1396"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/categories?post=1396"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/ja\/wp-json\/wp\/v2\/tags?post=1396"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}