Two conjectures by Victor Thébault linking tetrahedra with quadrics.

Identificador:  imarina:5128822

Handle: https://hdl.handle.net/20.500.11797/imarina5128822

Autors:  Herrera Gómez, B.

Resum:
We prove two of Th´ebault’s conjectures. The first (1949) links four lines, that they are rulings of hyperbolic paraboloids or that they are coplanar, with orthocentric or isodynamic tetrahedra, respectively. The second (1953) links the radical center of four spheres with elements of tetrahedra.