The line conneting isogonal and isotomic conjugate points
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 \...
AoPS problems
Isogonal conjugate points in a rectangle
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,...