On instantaneous invariants of hyperbolic planes
Yükleniyor...
Dosyalar
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sage Publications
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflection curve, circling-point curve, cubic of twice stationary curvature curve, and cubic of thrice stationary curve. We also obtain Cartesian and parametric equations of these curves and illustrate some special cases. Finally, we investigate the hyperbolic Ball point, the ordinary and the sixth-order Burmester points in the case of a finite instant pole.
Açıklama
Anahtar Kelimeler
Kinematics, Hyperbolic planar geometry, Instantaneous invariants
Kaynak
Mathematics and Mechanics of Solids
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
22
Sayı
5
Künye
İnalcık, A., Ersoy, S., & Stachel, H. (2017). On instantaneous invariants of hyperbolic planes. Mathematics and Mechanics of Solids, 22(5), 1047-1057.
