Evolutes of dual spherical curves for ruled surfaces
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Publication:5741666
DOI10.1002/mma.3748zbMath1345.30075OpenAlexW1875716893MaRDI QIDQ5741666
Publication date: 29 July 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3748
Related Items (16)
Tangent developables and Darboux developables of framed curves ⋮ Some characterizations of dual curves in dual 3-space \(\mathbb{D}^3\) ⋮ Some characterizations of non-null rectifying curves in dual Lorentzian 3-space \(\mathbb{D}_1^3\) ⋮ Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time ⋮ Geometric algebra of singular ruled surfaces ⋮ Finite determinacy of high codimension smooth function germs ⋮ Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space ⋮ Unnamed Item ⋮ Involute–evolute and pedal–contrapedal curve pairs on S2 ⋮ Evolutes and focal surfaces of (1, k)‐type curves with respect to Bishop frame in Euclidean 3‐space ⋮ Evolutes of the (n,m)-cusp mixed-type curves in the Lorentz–Minkowski plane ⋮ Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space ⋮ Singularity properties of Lorentzian Darboux surfaces in Lorentz-Minkowski spacetime ⋮ Null surfaces of null Cartan curves in Anti-de Sitter 3-space ⋮ Lightlike tangent developables in de Sitter 3-space ⋮ Unnamed Item
Cites Work
- On the one-parameter dual spherical motions
- Dual Darboux frame of a timelike ruled surface and Darboux approach to Mannheim offsets of timelike ruled surfaces
- Geometric continuity of ruled surfaces
- Kinematic generation of ruled surfaces
- Evolutes of hyperbolic plane curves
- A new look at the Ball-Disteli diagram and its relevance to spatial gearing
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