The spiric sections of Perseus and the uniform parameterizations of the Cassinian ovals

DOI10.7546/jgsp-58-2020-81-97zbMath1471.53004OpenAlexW3123524217MaRDI QIDQ2037020

Ivaïlo M. Mladenov

Publication date: 30 June 2021

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-58-2020-81-97

zbMATH Keywords

dumbbelllemniscateCassinian ovalPerseus curvesspiric sections

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) Curves in Euclidean and related spaces (53A04)

Related Items (6)

Explicit solution of the focus locus problem for the harmonic oscillator orbits in the plane ⋮ New and old parameterizations of the Cassinian ovals and some applications of them ⋮ Numerical ranges of the real \(2\times 2\) matrices derived by first principles ⋮ Geometry of the ovoids: reptilian eggs and similar symmetric forms ⋮ Geometry of the ovoids: avian eggs and similar asymmetric forms ⋮ Analytical descriptions of Perseus spirics

Cites Work

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• Cassini curves in light field theory
• Cassini ovals in harmonic motion orbits
• The many faces of elastica
• The rectifications of the Cassinian ovals: third round
• On Some Deformations of the Cassinian Oval
• New Parameterizations of the Cassinian Ovals
• Cassini Ovals Associated with a Second Order Matrix

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