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Mathematicians, in treating of the attraction of bodies, have confined their attention, almost entirely, to those solids which are bounded by continuous curve surfaces; and Mr. Playfair, if I do not mistake, is the only writer, who has given any example of that kind of inquiry, which is the chief object of the present paper. This learned mathematician has found expressions* for the action of a parallelopiped; and of an isosceles pyramid, with a rectangular base, on a point at its vertex; and observes, on occasion of the first mentioned problem, that what he has there done, “ gives some hopes of “ being able to determine generally the attraction of solids “ bounded by any planes whatever. " It is this general problem, that I venture to attempt the solution of, in what follows: vizany, regular or irregular, terminated by plane surfaces, being to both quantity and direction, its action, on a point, given in position, either within or without it.

XVI. Of the attraction of such solids as are terminated by planes; and of solids of greatest attraction