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Geodetic and Dynamical Principles, a comparison and connexion

Published online by Cambridge University Press:  24 October 2008

R. Hargreaves
R. Hargreaves
Affiliation:
St John's College
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Extract

The geodetic problem presented by a quadratic form is identical with the dynamical problem in which the same quadratic appears in the kinetic energy, and potential energy is not represented. If the quadratic in space-differentials is equated to kdt2, the problem is essentially the same whatever constant value is given to k; the corresponding feature is the arbitrary constant value of kinetic energy.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 5 , January 1927 , pp. 493 - 495
Copyright
Copyright © Cambridge Philosophical Society 1927

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References

* Proc. Camb. Phil. Soc., vol. 22, p. 138 (1924), esp. p. 156.CrossRefGoogle Scholar