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.
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

[1] A. Karger: Lie groups and kinematic geometry in the plane. (Czech.). Čas. pěst. mat., 93 (1968), 186-200. | MR

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