An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 270
y ABC a n-^ ■K-y ABC TT-a H Tt-y ABC n — a IT-P > ABC 27r-a 2n--3 27r--y 398. The inscribed circle of any triangle and the inscribedcircles of the three associated triangles are touched by another circlewhich touches the former in one sense and the latter in the oppositese7ise. feuerbachs… … Then, since the circle BG touches T^ externally, and T, T^, T^internally, we have by § 387, (ii), (13). 02 = (01). 23+ (12). 03. Similarly, since the circle GA touches T^ externally, and T, T^^, T^internally, (12). 03 = (02). 13+ (23). 01; and, since the circle AB touches T^ externally, and T, T^,…
Geometry
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