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extouch triangle : ウィキペディア英語版
extouch triangle

In geometry, the extouch triangle of a triangle is formed by joining the points at which the three excircles touch the triangle.
==Coordinates==
The vertices of the extouch triangle are given in trilinear coordinates by:
:T_A = 0 : \csc^2 : \csc^2
:T_B = \csc^2 : 0 : \csc^2
:T_C = \csc^2 : \csc^2 : 0
Or, equivalently, where a,b,c are the lengths of the sides opposite angles A, B, C respectively,
:T_A = 0 : \frac : \frac
:T_B = \frac : 0 : \frac
:T_C = \frac : \frac : 0

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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