r1766

Let A', B', C' be the cevian traces of P. The parallel from A' to the B-cevian cuts AB at Ca; the parallel from A' to the C-cevian cuts Ac at Ba. Define analogously Ab, Cb, Bc, Ac. The six points Ca, Ba, Ab, Cb, Bc, Ac lie in a conic. When P is a common point of the Wallace hyperbola and the hyperbola {ABCGK} (G centroid, k symmedian) the conic is a circle.

 
 
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