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「ド・ロンシャン点」の版間の差分 - miniwiki

「ド・ロンシャン点」の版間の差分

提供: miniwiki

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2018/8/19/ (日) 17:27時点における最新版

ファイル:DeLongchamps Point.svg

垂心(H)と外心(O)とド・ロンシャン点(L)

ド・ロンシャン点（ド・ロンシャンてん、de Longchamps Point）は、幾何学用語のひとつ。三角形の外心に対して、垂心と対称な点のこと。

性質

外心に対して垂心と対称の位置ある。即ち、この点はオイラー線上にある。
内心とジェルゴンヌ点を結ぶ直線上にある。
4面が合同な四面体において、1つの頂点から対面に下ろした垂線はド・ロンシャン点を通る。
AL²-BC²=BL²-AC²=CL²-AB²

案内メニュー

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「ド・ロンシャン点」の版間の差分

2018/8/19/ (日) 17:27時点における最新版

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2013/4/13/ (土) 10:18時点における版 (ソースを閲覧) ja>EmausBot 細 (ボット: 言語間リンク 5 件をウィキデータ上の d:Q1807042 に転記)	2018/8/19/ (日) 17:27時点における最新版 (ソースを閲覧) Admin (トーク \| 投稿記録) 細 (1版をインポートしました)
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