LESSON 33 -- 15/12/2022: Free motions and geodesics
Section outline
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Free motions and geodesics, the corresponding variational problems. Free motions are geodesics, with detailed proof. Geodesics are free motions, only discussion of the result. Geodesics on the plane and on the sphere. The function on the plane giving a revolution surface with minimal area is the catenary. Application to soap films. 1 exercise on the reduced Lagrangian.
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