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3. On the Application of Hamilton's Characteristic Function to Special Cases of Constraint

Published online by Cambridge University Press:  15 September 2014

Tait
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Extract

Hamilton's beautiful theory of Varying Action reduces to the discovery of a single function any problem connected with motion under the action of a conservative system of forces, and with constraint by any system of smooth fixed surfaces.

It does not appear to have been applied to cases (such as the brachistochrone) in which the requisite constraint is the thing to be determined.

Type
Proceedings 1864-65
Information
Proceedings of the Royal Society of Edinburgh , Volume 5 , 1866 , pp. 407
Copyright
Copyright © Royal Society of Edinburgh 1866

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