engleski

Butterflies in the Isotropic Plane

A real affine plane A_2 is called an isotropic plane I_2, if in A_2 a metric is induced by an absolute {; ; ; ; ; f, F}; ; ; ; ; , consisting of the line at infinity f of A_2 and a point F on f. In this paper the well-known Butterfly theorem has been adapted for the isotropic plane. For the theorem that we will further-on call an Isotropic butterfly theorem, four proofs are given.

isotropic plane; butterfly theorem

nije evidentirano