Geodesic
Properties of space motions with two straight trajectories
Applications of Mathematics, Tome 35 (1990) no. 3, pp. 178-183
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The paper is devoted to Euclidean space motions with two straight trajectories on two given skew straight lines. It describes all motions from this class which have one more planar trajectory in a plane not parallel to the given lines. In the conclusion it given conditions under which such motions have further planar trajectories in planes not parallel to the given skew straight lines.
The paper is devoted to Euclidean space motions with two straight trajectories on two given skew straight lines. It describes all motions from this class which have one more planar trajectory in a plane not parallel to the given lines. In the conclusion it given conditions under which such motions have further planar trajectories in planes not parallel to the given skew straight lines.
DOI : 10.21136/AM.1990.104401
Classification : 53A17
Keywords: special space motions; kinematics; straight trajectories; planar trajectories 
@article{10_21136_AM_1990_104401,
     author = {Kargerov\'a, Marie},
     title = {Properties of space motions with two straight trajectories},
     journal = {Applications of Mathematics},
     pages = {178--183},
     year = {1990},
     volume = {35},
     number = {3},
     doi = {10.21136/AM.1990.104401},
     mrnumber = {1052738},
     zbl = {0718.53010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104401/}
}
TY  - JOUR
AU  - Kargerová, Marie
TI  - Properties of space motions with two straight trajectories
JO  - Applications of Mathematics
PY  - 1990
SP  - 178
EP  - 183
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104401/
DO  - 10.21136/AM.1990.104401
LA  - en
ID  - 10_21136_AM_1990_104401
ER  - 
%0 Journal Article
%A Kargerová, Marie
%T Properties of space motions with two straight trajectories
%J Applications of Mathematics
%D 1990
%P 178-183
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104401/
%R 10.21136/AM.1990.104401
%G en
%F 10_21136_AM_1990_104401
Kargerová, Marie. Properties of space motions with two straight trajectories. Applications of Mathematics, Tome 35 (1990) no. 3, pp. 178-183. doi: 10.21136/AM.1990.104401

[1] W. Blaschke: Kinematik und Quaternionen. Berlin, Deutscher Verlag der Wiss., 1960. | MR | Zbl

[2] A. Karger: The Darboux theorem on plane trajectories of two parametric space motions. Apl. mat. 33(1988), 417-442. | MR | Zbl

[3] A. Karger J. Novák: Space kinematics and Lie groups. Gordon and Breach, New York, London, 1985. | MR

Cité par Sources :