7410Re: Thebault point
- Aug 1, 2003Dear Jean-Pierre Ehrmann,
Thanks for the mail. You wrote:
>> > (1b) The Euler lines of triangles AB'C', BC'A', CA'B' concurYes, of course I know this, the excenters of a triangle
>> > at one point on the nine-point circle of triangle ABC.
>> > Note that (1a) follows from the definition of the Schiffler
>> > point (H is the incenter of triangle A'B'C')
>> Note that if an angle of ABC is obtuse, the incenter of A'B'C' is
>> not H, but the corresponding vertex of ABC.
also lie on the Neuberg cubic.
>> > and (1b) is a result of Victor Thebault.I have met this before. The point M where the Euler lines
>> Notethat the common point is the center of Jerabek hyperbola.
of triangles AB'C', BC'A', CA'B' meet has the property
that one of the equations MA' = MB' + MC' or cyclically
holds. This was stated by Thebault. Can anybody find a
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