Hyperbolic Number Forms of the Euler-Savary Equation

DOI10.36890/iejg.1127959zbMath1499.70003OpenAlexW4307735284WikidataQ115484677 ScholiaQ115484677MaRDI QIDQ5058101

Duygu Çağlar, Nurten Gürses (Bayrak)

Publication date: 2 December 2022

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1127959

zbMATH Keywords

kinematicshyperbolic numberEuler-Savary equationone-parameter planar motion

Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17) Quadratic spaces; Clifford algebras (11E88) Kinematics of a particle (70B05)

Cites Work

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• One-parameter homothetic motions and Euler-Savary formula in generalized complex number plane \(\mathbb C_J\)
• One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula
• Geometry of Minkowski space-time
• On \(L^ 2\) and \(L^ 3\)
• One-parameter plane hyperbolic motions
• \(n\)-dimensional hyperbolic complex numbers
• Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers
• Trigonometry in Lorentzian Geometry
• Geometry of Generalized Complex Numbers
• Cardan Motion in Elliptic Geometry
• New Foundations in Mathematics

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