Σάββατο 29 Ιουνίου 2024

THREE CURIOUS MIDPOINTS

Let ABC be a triangle, P a point and A'B'C' the cevian triangle of P Ma = the midpoint of AbAc. Similarly Mb, Mc
Which is the locus of P such that ABC, MaMbMc are orthologic?
Antreas Hatzipolakis

Study:
Francisco Javier García Capitán: Three curious midpoints
FJGC

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G - Orthologic

Let ABC be a triangle, P = G = X(2) and Q a point on the Euler line. Denote: Bc, Cb = the orthogonal projections of B, C on GC, GB, resp. ...