Geodesic
The Euclidean plane kinematics
Applications of Mathematics, Tome 24 (1979) no. 2, pp. 105-117.

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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.
DOI : 10.21136/AM.1979.103787
Classification : 51N25, 53A17, 53A55, 53C70
Keywords: plane kinematics; groups of motions 
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El Shinnawy, El Said. The Euclidean plane kinematics. Applications of Mathematics, Tome 24 (1979) no. 2, pp. 105-117. doi : 10.21136/AM.1979.103787. http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103787/

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