7861MORE CONCURRENT EULER LINES
- Sep 11, 2003Let ABC be a triangle, HaHbHc its orthic triangle, and
EaEbEc its Euler triangle (ie Ea = midpoint of AH etc).
HbEa /\ AB = Hab
HcEa /\ AC = Hac
Similarly the points Hbc, Hba; Hca, Hcb.
Are the Euler Lines of the Triangles AHabHac,
BHbcHba, CHcaHcb concurrent ?
Ea, Eb, Ec points on AH, BH, CH, resp.
AEa / AH = BEb / BH = CEc / CH = t.
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