Analytical descriptions of Perseus spirics

DOI10.7546/jgsp-63-2022-65-75OpenAlexW4225474432MaRDI QIDQ2110922

Ivaïlo M. Mladenov

Publication date: 23 December 2022

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7546/jgsp-63-2022-65-75

zbMATH Keywords

Cassinian ovalspiric sectionsBernoullian and Booth lemniscatesHippopede

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Length, area and volume in real or complex geometry (51M25) History of differential geometry (53-03) Curves in Euclidean and related spaces (53A04) History of geometry (51-03)

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Cites Work

• The many faces of elastica
• The spiric sections of Perseus and the uniform parameterizations of the Cassinian ovals
• The rectifications of the Cassinian ovals: third round
• On Some Deformations of the Cassinian Oval
• New Parameterizations of the Cassinian Ovals
• New and old parameterizations of the Cassinian ovals and some applications of them
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