r1466

Let X be a point, PQR its cevian triangle. The parallel from P to AC cuts AB at Cp; the parallel from P to AB cuts AC at Bp. Define analogously Aq, Cq, Ar, Br . These six points lie in a conic; when X is the cevian quotient K/G between the symmedian K and the centroid G the conic ias a circle.
 
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