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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X(72392) = X(110)X(3164)∩X(112)X(3168) Barycentrics    (a^10*b^2 - 2*a^8*b^4 + 2*a^6*b^6 - 2*a^4*b^8 + a^2*b^10 - a^10*c^2 - 2*a^8*b^2*c^...