ODEHNAL Boris

Variations on Fregier´s Theorem

Fregier´s theorem states: Choose a conic c and a point P on c. The hypothenuses of all right triangles with the right angle at P pass through a single point F, the Fregier point. The set of all Fregier points of a conic is called the Fregier conic. In fact, this is a theorem that belongs to projective geometry. We shall see that there is a close relation to generalized offsets of conics. Futher, we give some generalizations of Fregier´s result.