| 翻訳と辞書 |
| automedian triangle ： ウィキペディア英語版 |
automedian triangle
In plane geometry, an automedian triangle is a triangle in which the lengths of the three medians (the line segments connecting each vertex to the midpoint of the opposite side) are proportional to the lengths of the three sides, in a different order. The three medians of an automedian triangle may be translated to form the sides of a second triangle that is similar to the first one.
==Characterization==
The side lengths of an automedian triangle satisfy a formula 2''a''2 = ''b''2 + ''c''2, analogous to the Pythagorean theorem characterizing right triangles as the triangles satisfying the formula ''a''2 = ''b''2 + ''c''2.
That is, in order for the three numbers ''a'', ''b'', and ''c'' to be the sides of an automedian triangle, the three squared side lengths ''b''2, ''a''2, and ''c''2 should form an arithmetic progression.〔.〕
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「automedian triangle」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.
|
|