13487Re: [EMHL] Mittenpunkt And Concurrency Of Three Euler Lines
- Jul 1, 2006Dear Tuan
> I have got a very nice first result:That is,
> - Q is fixed and is incenter I
> - Line is OH
> The locus (or at least all points on this line) is line connected
> mittenpunkt and Gergonne point.
Let ABC be a triangle, and P a point.
The perpendicular to IA through P intersects AB,AC at Ab,Ac, resp.
Similarly Bc,Ba, and Ca,Cb.
The locus of P such that the OH lines (Euler Lines) of PBcCb, PCaAc, PAbBa
are concurrent is Mittenpunkt-Gergone Line + ???
Probably the complete locus is some Cubic = Conic + Line
Nice result, indeed!
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