Zur globalen Raumkinematik

Helmut Pottmann

doi:10.1007/BF01318070

Zur globalen Raumkinematik

Translated title of the contribution: On spatial kinematics in the large

Helmut Pottmann^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we continue the considerations of [8], i.e. the study of one-parametric closed equiform motions in Euclidean 3-space E³. Thereby the "Steiner-formula" on the aperture-distances of ruled surfaces, traced by lines of the moving space, is discussed and applied in different ways. This leads to new Holditch-theorems and to results in the field of global geometry of ruled surfaces and curves in E³. On the other hand these theorems can be specialized to important formulas of global spherical kinematics.

Translated title of the contribution	On spatial kinematics in the large
Original language	German
Pages (from-to)	289-302
Number of pages	14
Journal	Monatshefte für Mathematik
Volume	103
Issue number	4
DOIs	https://doi.org/10.1007/BF01318070
State	Published - Dec 1987
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/BF01318070

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title = "Zur globalen Raumkinematik",

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AB - In this paper we continue the considerations of [8], i.e. the study of one-parametric closed equiform motions in Euclidean 3-space E3. Thereby the "Steiner-formula" on the aperture-distances of ruled surfaces, traced by lines of the moving space, is discussed and applied in different ways. This leads to new Holditch-theorems and to results in the field of global geometry of ruled surfaces and curves in E3. On the other hand these theorems can be specialized to important formulas of global spherical kinematics.

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Zur globalen Raumkinematik

Abstract

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