In a triangle ABC the cevians AA_{1},BB_{1},CC_{1} are concurrent at P_{1}. The circumcircle of triangle A_{1}B_{1}C_{1} intercept the sides at A_{2},B_{2},C_{2}. Prove
that the cevians AA_{2},BB_{2},CC_{2} are concurrent at a point P_{2} known as cyclocevian conjugate
of P_{1}. See dynamic
diagram.

Weisstein, Eric W. "Cyclocevian
Conjugate." From *MathWorld*--A
Wolfram Web Resource. https://mathworld.wolfram.com/CyclocevianConjugate.html

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