22064Re: Point ?
- Mar 22, 2014On Sat, Mar 22, 2014 at 8:01 PM, Antreas Hatzipolakis <anopolis72@...> wrote:Let ABC be a triangle and AaBbCc its orthic triangle.Denote:
Ab, Ac = the orthogonal projections of Aa on BBb, CCc, resp.
APHPoint?resp. are concurrent.Now, the reflections of L1,L2,L3 in (altitudes of ABC) AAa, BBb, CCc,parallel.ABC and the three triangles are homothetic, so their Euler lines areSimilarly L2,L3 = the Euler lines of BbB3B1, CcC1C2, resp.L1 = the Euler line of AaA2A3.A3 = the ortogonal projection of Ac on AaAbA2 = the orhogonal projection of Ab on AaAc
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