| 翻訳と辞書 |
| Exeter point ： ウィキペディア英語版 |
Exeter point
In geometry, the Exeter point is a special point associated with a plane triangle. The Exeter point is a triangle center and is designated as the center X(22) in Clark Kimberling's Encyclopedia of Triangle Centers. This was discovered in a computers-in-mathematics workshop at Phillips Exeter Academy in 1986. This is one of the recent triangle centers, having been discovered only in 1986, unlike the classical triangle centers like centroid, incenter, and Steiner point.
==Definition==
The Exeter point is defined as follows.〔
:Let ''ABC'' be any given triangle. Let the medians through the vertices ''A'', ''B'', ''C'' meet the circumcircle of triangle ''ABC'' at ''A' '', ''B' '' and ''C' '' respectively. Let ''DEF'' be the triangle formed by the tangents at ''A'', ''B'', and ''C'' to the circumcircle of triangle ''ABC''. (Let ''D'' be the vertex opposite to the side formed by the tangent at the vertex ''A'', ''E'' be the vertex opposite to the side formed by the tangent at the vertex ''B'', and ''F'' be the vertex opposite to the side formed by the tangent at the vertex ''C''.) The lines through ''DA' '', ''EB' '' and ''FC' '' are concurrent. The point of concurrence is the ''Exeter point'' of triangle ''ABC''.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「Exeter point」の詳細全文を読む
スポンサード リンク
| 翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|