Original scientific paper

Introduction to the Planimetry of the Quasi-Hyperbolic Plane

Ana Sliepčević ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Ivana Božić ; Polytechnic of Zagreb, Zagreb, Croatia
Helena Halas orcid.org/0000-0002-6890-7835 ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

Abstract

The quasi-hyperbolic plane is one of nine projective-metric planes where the absolute figure is the ordered triple
{ j_1, j_2, F}, consisting of a pair of real lines j_1 and j_2 through the real point F. In this paper some basic geometric notions of the quasi-hyperbolic plane are introduced.
Also the classification of qh-conics in the quasi-hyperbolic plane with respect to their position to the absolute figure is given. The notions concerning the qh-conic are introduced and some selected constructions for qh-conics are presented.

Keywords

quasi-hyperbolic plane; perpendicular points; central line; qh-conics classification; osculating qh-circle

Hrčak ID:

114282

URI

https://hrcak.srce.hr/114282

Publication date:

27.1.2014.

Article data in other languages: croatian

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