A generalization of the Holditch Theorem for the planar homothetic motions

被引：0
|
作者：
Yüce S. [1 ]
Kuruoğlu N. [2 ]
机构：
[1] Department of Mathematics, Ondokuz MayIs University, Science and Arts Faculty, Kurupelit 55139, Samsun
[2] Department of Mathematics and Computer Sciences, Bahcesehir University, Science and Arts Faculty, Bahcesehir 34538, Istanbul
来源：
Applications of Mathematics | 2005年 / 50卷 / 2期
关键词：
Holditch Theorem; homothetic motion; Steiner formula;
D O I：
10.1007/s10492-005-0005-3
中图分类号：
学科分类号：
摘要：
In this paper, under the one-parameter closed planar homothetic motion, a generalization of Holditch Theorem is obtained by using two different line segments (with fixed lengths) whose endpoints move along two different closed curves. © 2005 Springer Science+Business Media, Inc.
引用
收藏
页码：87 / 91
页数：4
相关论文
共 50 条
  • [21] Holditch Theorem and Steiner Formula for the Planar Hyperbolic Motions (vol 19, pg 155, 2009)
    Yuce, Salim
    Kuruoglu, Nuri
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2011, 21 (02) : 441 - 441
  • [22] The Steiner Formulas For The Open Planar Homothetic Motions
    Yuce, Salim
    Kuruoglu, Nuri
    [J]. APPLIED MATHEMATICS E-NOTES, 2006, 6 : 26 - 32
  • [23] Holditch's theorem for one-parameter closed motions
    Hacisalihoglu, HH
    AbdelBaky, RA
    [J]. MECHANISM AND MACHINE THEORY, 1997, 32 (02) : 235 - 239
  • [24] On Holditch's Theorem and Holditch Curves
    Proppe, H.
    Stancu, A.
    Stern, R. J.
    [J]. JOURNAL OF CONVEX ANALYSIS, 2017, 24 (01) : 239 - 259
  • [25] On Holditch’s theorem
    Waldemar Cieślak
    Horst Martini
    Witold Mozgawa
    [J]. Journal of Geometry, 2020, 111
  • [26] On Holditch's theorem
    Cieslak, Waldemar
    Martini, Horst
    Mozgawa, Witold
    [J]. JOURNAL OF GEOMETRY, 2020, 111 (02)
  • [27] HOLDITCH-TYPE THEOREMS FOR THE POLAR MOMENT OF INERTIA UNDER THE 1-PARAMETER CLOSED PLANAR HOMOTHETIC MOTION
    Akar, Mutlu
    Yuce, Salim
    [J]. JOURNAL OF SCIENCE AND ARTS, 2021, (02): : 329 - 336
  • [28] HOMOTHETIC MOTIONS WITH NULL HOMOTHETIC BIVECTORS IN GENERAL RELATIVITY
    MCINTOSH, CBG
    [J]. GENERAL RELATIVITY AND GRAVITATION, 1976, 7 (02) : 215 - 218
  • [29] A generalization of the Poincaré–Bohl theorem for planar domains
    Giuliano Klun
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 : 857 - 872
  • [30] Homothetic motions and Newtonian cosmology
    Xavier Jaén
    Alfred Molina
    [J]. General Relativity and Gravitation, 2014, 46
12345