A new construction of Holditch theorem for homothetic motions in \(C_p\)

DOI10.1155/2021/5583457zbMath1505.53015OpenAlexW3181266166MaRDI QIDQ2244293

Tülay Erişir

Publication date: 12 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5583457

zbMATH Keywords

kinematicshomothetic motionsHolditch theoremtrajectory of motionSteiner area formula

Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17) Kinematics of a particle (70B05)

Cites Work

• A new generalization of the Steiner formula and the Holditch theorem
• One-parameter homothetic motions and Euler-Savary formula in generalized complex number plane \(\mathbb C_J\)
• The Steiner formula for Minkowski valuations
• Steiner formula and Holditch-type theorems for homothetic Lorentzian motions
• Holditch-Sicheln
• A generalization of the Holditch theorem for the planar homothetic motions.
• One-parameter plane hyperbolic motions
• Zum Satz von Holditch in der euklidischen Ebene
• Sätze vom Holditch-Typ für ebene Kurven
• The Steiner formula and the Holditch theorem for the homothetic motions on the planar kinematics
• The Holditch-type theorem for the polar moment of inertia of the orbit curve in the generalized complex plane
• The Generalized Holditch Theorem for the Homothetic Motions on the Planar Kinematics
• Geometry of Generalized Complex Numbers
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