Displaying similar documents to “Kinematic geometry in n -dimensional Euclidean and spherical space”

Two-parametric motions in E 3

Adolf Karger (1987)

Aplikace matematiky

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The paper deals with the local differential geometry of two-parametric motions in the Euclidean space. The first part of the paper contains contemporary formulation of classical results in this area together with the connection to the elliptical differential geometry. The remaining part contains applications. Necessary and sufficient conditions for splitting of a two-parametric motion into a product of two one-parametric motions, characterization of motions with constant invariants and...

The Euclidean plane kinematics

El Said El Shinnawy (1979)

Aplikace matematiky

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Restricting his considerations to the Euclidean plane, the author shows a method leading to the solution of the equivalence problem for all Lie groups of motions. Further, he presents all transitive one-parametric system of motions in the Euclidean plane.