Ebene Äquiforme Zwangläufe im Grossen I

Pottmann, Helmut

doi:10.1007/bf03322355

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2018

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Cited by 2 publications

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“…The equivalent result for planar kinematics is given by [6]. Also, for n-dimensional Euclidean space (n ≥ 3), H. Pottmann had given this generalization using the distances measured by Euclidean metric, [5]. We may give the following theorem:…”

Section: IImentioning

confidence: 99%

The generalization of Holditch theorem for closed space curves

2003

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Section: IImentioning

confidence: 99%

The generalization of Holditch theorem for closed space curves

2003

View full text Add to dashboard Cite

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The areas of the trajectory surface under the Galilean motions in the Galilean space

Akbiyik

Yüce

2018

Int. J. Geom. Methods Mod. Phys.

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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.

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Ebene Äquiforme Zwangläufe im Grossen I

Cited by 2 publications

References 8 publications

The generalization of Holditch theorem for closed space curves

The generalization of Holditch theorem for closed space curves

The areas of the trajectory surface under the Galilean motions in the Galilean space

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