20784[EMHL] Re: perspective centers
- Feb 1 11:55 PM2012/2/1 Alexey Zaslavsky <zasl@...>
> Let A_0, B_0, C_0 be the midpoints of sides BC, CA, AB; P beIs this true as well?
> an arbitrary
> point on the Euler line of triangle ABC and A_1, B_1, C_1 be the
> of circumcenter O to AP, BP, CP. Then A_0A_1, B_0B_1, C_0C_1 concur.
Let ABC be a triangle AoBoCo the medial triangle, P a point
on the Euler line and A1,B1,C1 the orth. projections of O on
PAo, PBo, PCo resp.
The triangles ABC, A1B1C1 are perspective (?).
Let P be a variable point. Which is the locus of P such that
ABC, A1B1C1 are perspective?
Is it Euler Line + Something_Else ?
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