Curve of Centers of the Special Conic Section Pencil

Ivana Božić Dragun; Ana Sliepčević

doi:10.20944/preprints202410.2204.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 26 October 2024 / Approved: 28 October 2024 / Online: 28 October 2024 (17:36:22 CET)

In the papers [1–5] using synthetic methods and the facts from the conics theory in the Euclidean, pseudo-Euclidean, quasi-hyperbolic and hyperbolic planes, we have studied and proved numerous facts related to the cuspidal curves with emphasis on evolutes and Steiner’s deltoid. In this paper, the intention is to see what can be said about the curve of centers in some special pencil of conics and to show how, studying the center curves in the special pencil of conics a connection with Steiner’s deltoid curve has been found.

pencil of conics; deltoid curve; curve of centers

Computer Science and Mathematics, Mathematical and Computational Biology

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Curve of Centers of the Special Conic Section Pencil

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