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(72939) = X(1)X(15111)∩X(34152)X(63631) Barycentrics    a^2*(a^20-6*a^18*b^2+15*a^16*b^4-20*a^14*b^6+14*a^12*b^8-14*a^8*b^12+20*a^6*b^1...