Lord Kelvin: An Account of His Scientific Life And Work

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The only point in which the theory was not complete so far as ordinary dynamical actions are concerned, was in regard to work done against friction, for which, when heat was LORD KELVIN 205 left out of account, there was no visible equivalent.
Newton's statement of the equality of what Thomson and Tait called " activity "" and "counter-activity" is, however, perfectly absolute. In the completion of the theory of energy on the side of the conversion of heat into work, Thomson, as we have seen, t
...ook a very prominent part.
After the introduction of the dynamical laws the most interesting part of this chapter is the elaborate discussion which it contains of the Lagrangian equations of motion, of the principle of Least Action, with the large number of extremely important applications of these theories. The originality and suggestiveness of this part of the book, taken alone, would entitle it to rank with the great classics — the Mecanique Celeste^ the Mecanique Analytique^ and the memoirs of Jacobi and Hamilton — all of which were an outcome of the Frincipia^ and from which, with the Principia, the authors of the Natural Philosophy drew their inspiration.


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