22055Pedal Triangle - Parallels to Sidelines - Locus
- Mar 15, 2014APH3. M1M2M3, Orthic Triangle of ABC are perspective?2. ABC, M1M2M3 are orthologic?1. Perpendicular bisectors of A2A3, B3B1, C1C2 are concurrent?Which is the locus of P such thatSimilarly (Cyclically) M2, M3M1 = The midpoint of A2A3A3 = (Parallel to BC through Ac) /\ ABA2 = (Parallel to BC through Ab) /\ ACAc = The orthogonal projection of Pa on PPcAb = The orthogonal projection of Pa on PPbDenote:Let ABC be a triangle, P a point and PaPbPc the pedaltriangle of P.
4. ABC, M1M23 are perspective?The simplest case should be for P = O, since Ab = Cb, Bc = Ac
and Ba = Ca.