Geometric Properties Completely Characterizing, the Set of All the Curves of Constant, Pressure in a Field of Force (Classic Reprint) - Hardcover

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Excerpt from Geometric Properties Completely Characterizing, the Set of All the Curves of Constant, Pressure in a Field of Force

In the Princeton Colloquium lectures, 1909, Professor Edward Kasmer of Columbia University pointed out several unfinished problems connected with a field of force. He showed that the trajectories whose characteristics he had previously described (transactions of the American Mathematical Society, Vol. 7, No. 3, pp. 401 - 424, July, 1906) might be considered as a special case of either of two more general problems: to find curves along which a constrained motion is possible such that the pressure of the moving particle against the curve is (1) proportional to the normal component of the force or (2) constant.

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