Original scientific paper

The Focal Curve of the Pencil and the Range of Conics in an Isotropic Plane

Ana Sliepčević ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

Abstract

Although the pencil and the range of conics in an isotropic plane are dual their focal curves are not dual. In the paper we proved that the focal curve of the pencil of conics in an isotropic plane is in general non rational cubic. This cubic is constructed in the general and for some degenerated cases. For the range of conics the focal curve is the rational cubic with the absolute point of the plane as a double point. This cubic is constructed in general and in some interesting special cases.

Keywords

focal curve; isotropic plane; pencil of conics; range of conics

Hrčak ID:

166452

URI

https://hrcak.srce.hr/166452

Publication date:

20.1.1999.

Article data in other languages: croatian german

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