| 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:
|
http://hdl.handle.net/10338.dmlcz/104125 |
| . |
| 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 |
| . |
