The implicit equation of a Holditch curve

DOI10.1007/S40840-024-01734-ZMaRDI QIDQ6587104

David Rochera, Juan Monterde

Publication date: 13 August 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

ellipsealgebraic curveresultantimplicit equationHolditch's theoremHolditch curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)

Cites Work

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• Algebraic properties of plane offset curves
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Rational algebraic curves. A computer algebra approach
• On Holditch's theorem
• Holditch's theorem in 3D space
• Holditch's Theorem
• Holditch's Ellipse Unveiled
• Ideals, Varieties, and Algorithms

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