KoG, Vol. 8. No. 8., 2004.
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
Publication date:
17.2.2005.
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