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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ETC

X(65377) = CENTER OF HATZIPOLAKIS-MOSES-MORLEY HYPERBOLA Barycentrics    (Cos[B]*Cos[C/3] - Cos[B/3]*Cos[C])*(Cos[A/3]*(Cot[B] - Cot[C])...