Professional paper

Butterflies in the Isotropic Plane

Jelena Beban Brkić ; Department of Geomatics, Faculty of Geodesy, University of Zagreb, Zagreb, Croatia
Vladimir Volenec ; Department of Mathematics, Faculty of Natural Sciences, University of Zagreb, Zagreb, Croatia

Abstract

A real affine plane A2 is called an isotropic plane I2, if in A2 a metric is induced by an absolute {f, F}, consisting of the line at infinity f of A2 and a point F ∈ 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.

Keywords

isotropic plane; butterfly theorem

Hrčak ID:

3711

URI

https://hrcak.srce.hr/3711

Publication date:

17.2.2005.

Article data in other languages: croatian

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