Abstract

LONDON Mathematical Society, April 8.—Prof. H. J. S. Smith, F.R.S., president, in the chair.—Mr. G. H. Darwin gave an account of two applications of Peaucellier's cells, first, to “the mechanical description of equipotential lines”; and secondly, to “a mechanical method of making a force which varies inversely as the square of the distance from a fixed point.” In this latter case, let 0 be the fixed pivot of a cell, and suppose the cell to be in equilibrium under the action of two faces, P and P′, acting at D and B. Then by the principle of virtual velocities—

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