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The Focal Curve of Fourfold Foci in the Pencil of 3th Order Circular Curves

Ana Sliepčević ; Građevinski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska


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str. 6-8

preuzimanja: 133

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Sažetak

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.

Ključne riječi

circular curve; fourfold focus, focal curve

Hrčak ID:

165842

URI

https://hrcak.srce.hr/165842

Datum izdavanja:

10.12.1996.

Podaci na drugim jezicima: hrvatski njemački

Posjeta: 690 *