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(73027)

X(73027) = (name pending) Barycentrics    (3*a^6-4*a^4*b^2-a^2*b^4+2*b^6-4*a^4*c^2+7*a^2*b^2*c^2-2*b^4*c^2-a^2*c^4-2*b^2*c^4+2*c^6)*(8*a^1...