[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4496#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4496","headline":"Simsonsche Gerade  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"Simsonsche Gerade  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u30b7\u30e0\u30bd\u30f3\u306f\u4eca \u4e09\u89d2\u5f62\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3067\u3059\u3002 1\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u30d9\u30fc\u30b9\u30dd\u30a4\u30f3\u30c8\u3067\u3059 p {displaystyle p} after-content-x4 \u4e09\u89d2\u5f62\u306e\uff08\u304a\u305d\u3089\u304f\u62e1\u5f35\u3055\u308c\u305f\uff09\u30da\u30fc\u30b8\u306e\u4f10\u63a1\u3055\u308c\u305f\u30d7\u30ec\u30fc\u30c8\u304b\u3089 \u25b3 a b c {DisplayStyle Triangle ABC} \u4e00\u822c\u7684\u306a\u30b9\u30c8\u30ec\u30fc\u30c8\u3067\u306f\u3001\u3053\u308c\u306f \u30b7\u30e0\u30bd\u30f3\u306f\u4eca \u307e\u305f Wallaceshe\u30b9\u30c8\u30ec\u30fc\u30c8","datePublished":"2021-09-22","dateModified":"2021-09-22","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/2\/23\/Simson_neu1.svg\/290px-Simson_neu1.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/2\/23\/Simson_neu1.svg\/290px-Simson_neu1.svg.png","height":"258","width":"290"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4496","wordCount":3708,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4  \u30b7\u30e0\u30bd\u30f3\u306f\u4eca \u4e09\u89d2\u5f62\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3067\u3059\u3002 1\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u30d9\u30fc\u30b9\u30dd\u30a4\u30f3\u30c8\u3067\u3059 p {displaystyle p}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u4e09\u89d2\u5f62\u306e\uff08\u304a\u305d\u3089\u304f\u62e1\u5f35\u3055\u308c\u305f\uff09\u30da\u30fc\u30b8\u306e\u4f10\u63a1\u3055\u308c\u305f\u30d7\u30ec\u30fc\u30c8\u304b\u3089 \u25b3 a b c {DisplayStyle Triangle ABC} \u4e00\u822c\u7684\u306a\u30b9\u30c8\u30ec\u30fc\u30c8\u3067\u306f\u3001\u3053\u308c\u306f \u30b7\u30e0\u30bd\u30f3\u306f\u4eca \u307e\u305f Wallaceshe\u30b9\u30c8\u30ec\u30fc\u30c8 \u305d\u3057\u3066\u30dd\u30a4\u30f3\u30c8 p {displaystyle p} \u3042\u306a\u305f\u3088\u308a pol \u5c02\u7528\u3002\u3053\u308c\u306f\u307e\u3055\u306b\u5834\u5408\u3067\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4p {displaystyle p} \u306e\u9818\u57df \u25b3 a b c {DisplayStyle Triangle ABC} \u5618\u3002 \u30b7\u30e0\u30bd\u30f3\u30b9\u30c8\u30ec\u30fc\u30c8\u306f\u3001\u6570\u5b66\u8005\u306e\u30ed\u30d0\u30fc\u30c8\u30b7\u30e0\u30bd\u30f3\uff081687\u20131768\uff09\u306b\u3061\u306a\u3093\u3067\u8aa4\u3063\u3066\u547d\u540d\u3055\u308c\u3066\u304a\u308a\u3001\u305d\u306e\u4f5c\u696d\u3067\u306f\u30b7\u30e0\u30bd\u30f3\u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u4ed5\u4e8b\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u5b9f\u969b\u306b\u306f\u30011797\u5e74\u306b\u30a6\u30a3\u30ea\u30a2\u30e0\u30a6\u30a9\u30ec\u30b9\uff081768\u20131843\uff09\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u307e\u3057\u305f\u3002 [\u521d\u3081] Table of Contents       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30b7\u30e0\u30bd\u30f3\u30b9\u30c8\u30ec\u30fc\u30c8\u306b\u985e\u4f3c\u3057\u3066\u3044\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Simson-Straight\u9593\u306e\u5207\u65ad\u89d2 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30cf\u30fc\u30d5\u30a8\u30f3\u30c9\u3068\u3057\u3066\u306eSimson-Straight [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7fa4\u8846 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u305d\u306e\u4ed6 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b7\u30e0\u30bd\u30f3\u30b9\u30c8\u30ec\u30fc\u30c8\u306b\u985e\u4f3c\u3057\u3066\u3044\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Simson-Straight\u9593\u306e\u5207\u65ad\u89d2 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30cf\u30fc\u30d5\u30a8\u30f3\u30c9\u3068\u3057\u3066\u306eSimson-Straight [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7fa4\u8846 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u4e09\u89d2\u7b4b\u306e\u63a5\u7dda\u3068\u3057\u3066\u307e\u3063\u3059\u3050\u306b\u30b7\u30e0\u30bd\u30f3 \u30b7\u30e0\u30bd\u30f3\u30dd\u30fc\u30eb\u3092\u96e2\u308c\u307e\u3059 P{displaystyle P}\u30b5\u30fc\u30af\u30eb\u3067\u30cf\u30a4\u30ad\u30f3\u30b0\u3057\u3001\u305d\u306e\u5f8c\u3001\u30b7\u30e0\u30bd\u30f3\u30ac\u30e9\u30c7\u30f3\u306e\u7d50\u679c\u3068\u3057\u3066\u751f\u3058\u308b\u30b2\u30e9\u30c7\u30f3\u306e\u7fa4\u8846\u306f\u3001\u5c01\u7b52\u66f2\u7dda\u3068\u3057\u3066\u30b7\u30e5\u30bf\u30a4\u30ca\u30fc\u30cf\u30a4\u30dd\u30b3\u30b8\u30ed\u30a4\u30c9\u3068\u3082\u547c\u3070\u308c\u308b\u9670\u9b31\u3067\u3042\u308b\u3002 [\u521d\u3081] [2] \u305d\u306e\u4ed6 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] 2\u3064\u306e\u4e09\u89d2\u5f62\u304c\u540c\u3058\u9818\u57df\u3092\u6301\u3061\u3001\u305d\u308c\u306b\u95a2\u9023\u3059\u308b\u30b7\u30e0\u30bd\u30f3\u30b9\u30c8\u30ec\u30fc\u30c8\u3068\u540c\u3058\u6975\u3067\u3042\u308b\u5834\u5408\u30012\u3064\u306e\u30b7\u30e0\u30bd\u30f3\u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u5207\u65ad\u89d2\u306f\u6975\u306e\u9078\u629e\u306b\u4f9d\u5b58\u3057\u307e\u305b\u3093\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u3059\u3079\u3066\u306e\u70b9\u306b\u3064\u3044\u3066 p {displaystyle p} 2\u3064\u306e\u4e09\u89d2\u5f62\u306e\u5171\u901a\u9818\u57df\u306b\u306f\u30012\u3064\u306e\u95a2\u9023\u3059\u308bSimson\u30b9\u30c8\u30ec\u30fc\u30c8\u306e\u7b49\u3057\u3044\u5207\u65ad\u89d2\u304c\u3042\u308a\u307e\u3059\u3002  \u30d5\u30c3\u30c8\u30dd\u30a4\u30f3\u30c8\u306e\u5171\u7dda\u6027\u3092\u8a3c\u660e\u3059\u308b\u305f\u3081\u306e\u30b9\u30b1\u30c3\u30c1 \u8a3c\u660e\u3055\u308c\u3066\u3044\u307e\u3059\uff1a\u5618 p {displaystyle p} \u306e\u9818\u57df \u25b3 a b c {DisplayStyle Triangle ABC} \u3001\u3057\u305f\u304c\u3063\u3066\u3001\u30d9\u30fc\u30b9\u30dd\u30a4\u30f3\u30c8\u306f\u4e00\u822c\u7684\u306a\u30b9\u30c8\u30ec\u30fc\u30c8\u306b\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u305d\u308c\u3092\u793a\u3057\u3066\u3044\u307e\u3059 \uf097 \u3068 f p + \uf097 p f d = 180 \u2218{displaystyle\u89d2\u5ea6EFP+\u89d2\u5ea6PFD = 180^{circ}} \u9069\u7528\u53ef\u80fd\u3067\u3059\u3002 \u30d9\u30fc\u30b9\u30dd\u30a4\u30f3\u30c8 \u3068 {displaystyle e} \u3068 f {displaystyle f} \u8c37\u306e\u8f2a\u306e\u4e0a\u306b\u6a2a\u305f\u308f\u3063\u3066\u304f\u3060\u3055\u3044 [ p a ] {displaystyle [pa]} \u3002\u5468\u56f2\uff08\u672b\u68a2\u51dd\u56fa\uff09\u306e\u30b5\u30a4\u30ba\u306f\u540c\u3058\u5186\u5f62\u306e\u30a2\u30fc\u30c1\u306e\u4e0a\u306b\u540c\u3058\u30b5\u30a4\u30ba\u3067\u3042\u308b\u305f\u3081\u3001\u7d9a\u304d\u307e\u3059 \u2220EFP=90\u2218+\u2220EFA=90\u2218+\u2220EPA=90\u2218+(90\u2218\u2212\u2220PAC)=180\u2218\u2212\u2220PAC{displayStyle {begin {aligned} angle efp\uff06= 90^{circ}+angle efa = 90^{circ}+angle epa \\\uff06= 90^{circ}+\uff0890^{circ} -Angle PAC\uff09= 180^{circ} -Angle Pacend {aligned}}}} \u3002 \u4e00\u65b9\u3001\u305d\u3046\u3067\u3059 p b c a {displaystyle pbca} \u524d\u63d0\u6761\u4ef6\u306e\u9577\u671f\u7684\u306a\u3082\u306e\u3002\u53cd\u5bfe\u306e\u89d2\u5ea6 \uf097 p a c {displaystyle angle pac} \u3068 \uf097 c b p {displaystyle angle cbp} \u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5e83\u5834\u306f\u4e92\u3044\u306b\u88dc\u5b8c\u3057\u307e\u3059 180 \u2218{displaystyle 180^{circ}} \u3002\u5168\u4f53\u3068\u3057\u3066\u3001\u3053\u308c\u306f \uf097 \u3068 f p = \uf097 c b p {displaystyle angle efp = angle cbp} \u3002 \u30dd\u30a4\u30f3\u30c8 d {displaystyle d} \u3068 f {displaystyle f} \u8c37\u306e\u8f2a\u306e\u4e0a\u306b\u6a2a\u305f\u308f\u3063\u3066\u304f\u3060\u3055\u3044 [ p b ] {displaystyle [pb]} \u3001 \u305d\u3046 p b d f {displaystyle pbdf} \u8171\u3078\u306e\u61a7\u308c\u3067\u3059\u3002\u4ee5\u524d\u3068\u540c\u69d8\u306b\u3001\u3042\u306a\u305f\u306f\u9589\u3058\u307e\u3059 \uf097 p f d = \uf097 d b p {displaystyle angle pfd = angle dbp} \u3002\u306a\u305c\u306a\u3089 \uf097 d b p + \uf097 c b p = 180 \u2218{displaystyle\u89d2\u5ea6dbp+\u89d2\u5ea6cbp = 180^{circ}} \u3042\u306a\u305f\u306f\u305d\u308c\u304b\u3089\u5f97\u307e\u3059 \u2220PFD=90\u2218\u2212\u2220DFB=90\u2218\u2212(90\u2218\u2212\u2220PBD)=\u2220PBD=180\u2218\u2212\u2220CBP{displaystyle {begin {aligned} angle pfd\uff06= 90^{circ} -Angle dfb = 90^{circ}  – \uff0890^{circ} -Angle pbd\uff09\\\uff06= angle pbd = 180^{circ} -Angle cbpend {aligned}}}}}} \u3002 \u305d\u3046\u3067\u3059 \uf097 \u3068 f p + \uf097 p f d = \uf097 c b p + \uff08 180\u2218 –  \uf097 c b p \uff09\uff09 = 180\u2218{displaystyle angle efp+angle pfd = angle cbp+\uff08180^{circ} -Angle CBP\uff09= 180^{circ}}} \u8a3c\u660e\u3055\u308c\u305f\u4e3b\u5f35\u3002 \u6ce8\uff1a\u6307\u5b9a\u3055\u308c\u305f\u8a3c\u62e0\u306f\u3001\u30b9\u30b1\u30c3\u30c1\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u9ad8\u5ea6\u30dd\u30a4\u30f3\u30c8\u306e\u4f4d\u7f6e\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u304c\u7570\u306a\u308b\u5834\u5408\u3001\u305d\u308c\u306b\u5fdc\u3058\u3066\u7406\u7531\u3092\u5909\u66f4\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 \u2191 a b c d \u305d\u3046\u3067\u3059  H. S. M. Coxeter\u3001S\u3002L\u3002Greitzer\uff1a \u30b7\u30e0\u30bd\u30f3\u30e9\u30a4\u30f3 \u3002 \u00a72.5\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u518d\u691c\u8a0e\u3002\u306e\uff1a \u7b97\u6570\u3002\u5354\u4f1a\u3002 Amer\u3002\u3001 \u30ef\u30b7\u30f3\u30c8\u30f3DC 1967\u3001S\u300241\u3002  \u2191 a b  \u30a8\u30ea\u30c3\u30af\u30fbW\u30fb\u30dd\u30a4\u30f3\u30bf\u30fc\u30b7\u30e5\u30bf\u30a4\u30f3\uff1a Simson-straight \u3002 \u306e\uff1a Mathworld \uff08\u82f1\u8a9e\uff09\u3002  \u30de\u30c3\u30af\u30b9\u30fb\u30b3\u30c1\u30e3\u30fc\u3001\u30a2\u30ed\u30a4\u306e\u6226\u4e89\uff1a \u30ec\u30d9\u30eb \u3002 3.\u30a8\u30c7\u30a3\u30b7\u30e7\u30f3\u3002 Springer-Verlag\u3001Berlin 2007\u3001ISBN 978-3-540-49327-3\u3001pp\u3002170\u2013172\u3002 H. S. M. Coxeter\u3001S\u3002L\u3002Greitzer\uff1a \u6642\u4ee3\u3092\u8d85\u8d8a\u3057\u305f\u5e7e\u4f55\u5b66 \u3002\u30af\u30ec\u30c3\u30c8\u3001\u30b7\u30e5\u30c8\u30a5\u30c3\u30c8\u30ac\u30eb\u30c81983\u3002 \u30ed\u30b8\u30e3\u30fc\u30fbA\u30fb\u30b8\u30e7\u30f3\u30bd\u30f3\uff1a \u9ad8\u5ea6\u306a\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u30b8\u30aa\u30e1\u30c8\u30ea \u3002 Dover 2007\u3001ISBN 978-0-486-46237-0\u3001p\u3002137ff\u3002\u3001206 ff\u3002\u3001243\u3001251\uff081929\u5e74\u306b\u30db\u30fc\u30c8\u30f3\u30df\u30d5\u30ea\u30f3\u30ab\u30f3\u30d1\u30cb\u30fc\uff08\u30dc\u30b9\u30c8\u30f3\uff09\u3067\u30bf\u30a4\u30c8\u30eb\u306e\u4e0b\u3067\u51fa\u7248\u7269 \u73fe\u4ee3\u306e\u5e7e\u4f55\u5b66 \uff09\u3002 \u30ed\u30b9\u30fb\u30db\u30f3\u30ba\u30d0\u30fc\u30ac\u30fc\uff1a 19\u4e16\u7d00\u304a\u3088\u307320\u4e16\u7d00\u306e\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u306e\u30a8\u30d4\u30bd\u30fc\u30c9 \u3002\u56fd\u30011995\u3001p\u300243-48\u300182-83\u3001121\u3001128\u2013136\u3002       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4496#breadcrumbitem","name":"Simsonsche Gerade  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]