KoG, Vol. 1. No. 1., 1996.
Original scientific paper
The Focal Curve of Fourfold Foci in the Pencil of 3th Order Circular Curves
Ana Sliepčević
; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Abstract
In this paper it is proved that the curve of fourfold foci in the pencil of circular and rational cubics, which is deduced by ordinary inversion, is a circle, and its construction is shown. An analogus foci circle f is constructed in one pencil ({k_i}^3) of circular cubics of 1st genus. It is shown that by means of this circle focus of any cubics belonging to ({k_i}^3) can be obtained.
Keywords
circular curve; fourfold focus, focal curve
Hrčak ID:
165842
URI
Publication date:
10.12.1996.
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