Projective plane motions with infinitely many straight trajectories
Applications of Mathematics, Tome 30 (1985) no. 1, pp. 36-49.
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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.
DOI :
10.21136/AM.1985.104125
Classification :
53A17
Mots-clés : elliptic motion; projective plane motions; inflexion cubic; Darboux motions
Mots-clés : elliptic motion; projective plane motions; inflexion cubic; Darboux motions
@article{10_21136_AM_1985_104125, author = {Karger, Adolf}, title = {Projective plane motions with infinitely many straight trajectories}, journal = {Applications of Mathematics}, pages = {36--49}, publisher = {mathdoc}, volume = {30}, number = {1}, year = {1985}, doi = {10.21136/AM.1985.104125}, mrnumber = {0779331}, zbl = {0566.53020}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104125/} }
TY - JOUR AU - Karger, Adolf TI - Projective plane motions with infinitely many straight trajectories JO - Applications of Mathematics PY - 1985 SP - 36 EP - 49 VL - 30 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104125/ DO - 10.21136/AM.1985.104125 LA - en ID - 10_21136_AM_1985_104125 ER -
%0 Journal Article %A Karger, Adolf %T Projective plane motions with infinitely many straight trajectories %J Applications of Mathematics %D 1985 %P 36-49 %V 30 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104125/ %R 10.21136/AM.1985.104125 %G en %F 10_21136_AM_1985_104125
Karger, Adolf. Projective plane motions with infinitely many straight trajectories. Applications of Mathematics, Tome 30 (1985) no. 1, pp. 36-49. doi : 10.21136/AM.1985.104125. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104125/
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