Geodesic
Similarity motions in E3 with plane trajectories
Applications of Mathematics, Tome 26 (1981) no. 3, pp. 194-201.

Voir la notice de l'article dans Czech Digital Mathematics Library

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).
DOI : 10.21136/AM.1981.103911
Classification : 51N05, 53A17
Mots-clés : Darboux motions; kinematics; similarity motions 
@article{10_21136_AM_1981_103911,
     author = {Karger, Adolf},
     title = {Similarity motions in $E_3$ with plane trajectories},
     journal = {Applications of Mathematics},
     pages = {194--201},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {1981},
     doi = {10.21136/AM.1981.103911},
     mrnumber = {0615606},
     zbl = {0474.53008},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103911/}
}
TY  - JOUR
AU  - Karger, Adolf
TI  - Similarity motions in $E_3$ with plane trajectories
JO  - Applications of Mathematics
PY  - 1981
SP  - 194
EP  - 201
VL  - 26
IS  - 3
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103911/
DO  - 10.21136/AM.1981.103911
LA  - en
ID  - 10_21136_AM_1981_103911
ER  - 
%0 Journal Article
%A Karger, Adolf
%T Similarity motions in $E_3$ with plane trajectories
%J Applications of Mathematics
%D 1981
%P 194-201
%V 26
%N 3
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103911/
%R 10.21136/AM.1981.103911
%G en
%F 10_21136_AM_1981_103911
Karger, Adolf. Similarity motions in $E_3$ with plane trajectories. Applications of Mathematics, Tome 26 (1981) no. 3, pp. 194-201. doi : 10.21136/AM.1981.103911. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103911/

Cité par Sources :