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Title: Projective plane motions with infinitely many straight trajectories (English)
Author: Karger, Adolf
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 30
Issue: 1
Year: 1985
Pages: 36-49
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: The paper deals with one-parametric projective plane motins with the property that all points of the inflexion cubic have straight trajectories. It is shown that such motions have in the general case projective equivalent trajectories and that the inflexion cubic is in general irreducible. The cases of the above mentioned motions with reducible inflexion cubic are discussed in detail. The connection with the Darboux property is also mentioned. (English)
Keyword: elliptic motion
Keyword: projective plane motions
Keyword: inflexion cubic
Keyword: Darboux motions
MSC: 53A17
idZBL: Zbl 0566.53020
idMR: MR0779331
DOI: 10.21136/AM.1985.104125
Date available: 2008-05-20T18:26:36Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] H. Frank: Ebene projektive Kinematik.Dissertation Univ. Karlsruhe, 1968.
Reference: [2] J. Tölke: Ebene projektive Kinematik I. II, III.Math. Nachr. 63 (1974) 167-185, 187-196; 68 (1975) 221-237. MR 0365376, 10.1002/mana.3210630114
Reference: [3] A. Karger: Affine Darboux motions.Czech. Math. Journ., in print. Zbl 0597.53004


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