Displaying similar documents to “Classification of projective space motions with only plane trajectories”

Projective plane motions with infinitely many straight trajectories

Adolf Karger (1985)

Aplikace matematiky

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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.