| Title:
|
Similarity motions in $E_3$ with plane trajectories (English) |
| Author:
|
Karger, Adolf |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
194-201 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types). (English) |
| Keyword:
|
Darboux motions |
| Keyword:
|
kinematics |
| Keyword:
|
similarity motions |
| MSC:
|
51N05 |
| MSC:
|
53A17 |
| idZBL:
|
Zbl 0474.53008 |
| idMR:
|
MR0615606 |
| DOI:
|
10.21136/AM.1981.103911 |
| . |
| Date available:
|
2008-05-20T18:16:55Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103911 |
| . |
| Reference:
|
[1] W. Blaschke: Zur Kinematik.Abh. math. Sem. Univ. Hamburg 22 (1958), str. 171-175. Zbl 0178.24302, MR 0096388, 10.1007/BF02941949 |
| Reference:
|
[2] A. Karger: Darboux motions in $E_n$.Czech. Math. Journ. 29 (104) (1979), str. 303-317. Zbl 0405.53004, MR 0529518 |
| . |
