Dear Alexey

Let T be the Thebault point and (L) the Euler line of ABC.

The lines symmetric of (L) wrt the sides BC, CA, AB are on a same point U on

the ABC-circumcircle.

Then T is homothetic of U in the homothety of center G, the ABC-centroid and

ratio -1/2.

I think T is not on the ABC-Steiner inellipse.

Friendly

Francois

On Dec 3, 2007 8:24 AM, Alexey.A.Zaslavsky <zasl@...> wrote:

> Dear colleagues!

> What is the number in ETC of Thebault point, i.e the common point of euler

> lines of triangles AB'C', A'BC' and A'B'C where AA', BB', CC' are the

> altitudes of ABC? Moscow scholar Fyodor Nilov asserts that this point is on

> Steiner inellipse . Is this correct?

>

> Sincerely Alexey

>

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