AoPS problems

The line conneting isogonal and isotomic conjugate points

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Given a triangle $ABC$ with two Brocard points $\Omega_1$ and $\Omega_2$ , and the symmedian point $S$ . Construct the square $\Omega_1 \Omega_1^{p} \Omega_2 \...

Isogonal conjugate points in a rectangle

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Let $ABCD$ be a rectangle, and $P$ an arbitrary point. Denote $P_a, P_b, P_c, P_d$ as the isogonal conjugates of $P$ with respect to the triangles $BCD, CDA,...