Similarity motions in $E_3$ with plane trajectories
Applications of Mathematics, Tome 26 (1981) no. 3, pp. 194-201.
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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
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 -
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/
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