scientific article; zbMATH DE number 7271583

zbMath1452.53009MaRDI QIDQ5131660

David Rochera, Juan Monterde

Publication date: 9 November 2020

Full work available at URL: http://www.heldermann.de/JCA/JCA27/JCA274/jca27060.htm#jca271

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

total geodesic curvatureBarbier's theoremHolditch's theoremSteiner's formula for parallel curves

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Non-Euclidean differential geometry (53A35)

Related Items (2)

On isoptics and isochordal-viewed curves ⋮ Generalized plane offsets and rational parameterizations

Cites Work

• Holditch-Sicheln
• Holditch-Sätze für Regelflächen bzw. sphärische Kurven
• Eine Verallgemeinerung des Satzes von Holditch
• Holditch's theorem in 3D space
• Curves of constant width in the non-Euclidean geometry
• Analytic properties of plane offset curves
• Note über Kurven auf Flächen konstanter Krümmung
• Hyperbolic Geometry on a Hyperboloid
• Foundations of Hyperbolic Manifolds
• Holditch's Theorem
• Holditch's Ellipse Unveiled
• A generalization of Steiner’s formulae
• On some Formulas about Volume and Surface Area
• Note on convex spherical curves
• Note on convex curves on the hyperbolic plane
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