HYACINTHOS 6574

Dear Darij

[DG]

> >> > 4) EQUIVALENT PROBLEM:
> >> >
> >> > Given a triangle with sides a, b,
> >> > c, construct which has
> >> > barycentrics (a:b:c) with respect
> >> > to its cevian triangle.

[JPE]

> >> The Nagel point is the only solution.

[DG]

> Incredible!

This is due to the fact that for any point M, with anticomplement N,
the barycentric coordinates of N wrt the cevian triangle of N are
the barycentric coordinates of M wrt ABC.

Friendly. Jean-Pierre Ehrmann