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In geometry, the Schiffler point of a triangle is a point defined from the triangle that is invariant under Euclidean transformations of the triangle. This point was first defined and investigated by Schiffler et al. (1985). A triangle ''ABC'' with the incenter ''I'' has its Schiffler point at the point of concurrence of the Euler lines of the four triangles ''BCI'', ''CAI'', ''ABI'', and ''ABC''. Schiffler's theorem states that these lines are concurrent. Trilinear coordinates for the Schiffler point are : where ''a'', ''b'', and ''c'' denote the side lengths of triangle ''ABC''. == References == * * * * Solution, vol. 12, pp. 150–152. * 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「Schiffler point」の詳細全文を読む スポンサード リンク
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