Abstract
In the literature, Holditch theorem was obtained under periodic rotation and translation motions in [H. Holditch, Geometrical theorem, Q. J. Pure Appl. Math. 2 (1858) 38] or periodic shear and translation motions in [O. Röschel, Der satz von Holditch in der isotropen ebene. Abh. Braunschweig. Wiss. Ges. 36 (1984) 27–32]. In this paper, by introducing the projection of a vector onto a plane, scalar area, area vector of a surface, we investigate Holditch theorem under periodic rotation, translation and shear motions. We give two interpretations for the Holditch type theorem in Galilean space.
Keywords
Galilean
Translation (biology)
Rotation (mathematics)
Physics
Geometry
Surface (topology)
Scalar (mathematics)
Space (punctuation)
Mathematics
Mathematical analysis
Classical mechanics
Computer science
Subject Areas
Mathematics and Applications
·Geometry and Topology ·Physical Sciences
Control and Dynamics of Mobile Robots
·Control and Systems Engineering ·Physical Sciences
Citations by Year
2020: 1
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