The Elementary Part of A Treatise on the Dynamics of a System of Rigid Bodies. Being Part I of a Treatise on the Whole Subject: With Numerous Examples, Volumen 1

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Macmillan and Company, 1882 - 385 páginas
 

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Página 191 - FG; then, upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this is impossible (i.
Página 63 - The attraction of a uniform spherical surface on an external point is the same as if the whole mass were collected at the centre.
Página 31 - The centre of gravity of a pyramid on any base is on the line joining the vertex to the centre of gravity of the base and divides this line in the ratio of 3 : 1.
Página 299 - Least Constraint" 320 Geissler-Oliver Testing Papers GAUSS PRINCIPLE OF "LEAST CONSTRAINT." (1) The motion of connected points is such that, for the motion actually taken, the sum of the products of the mass of each particle into the square of the distance of its deviation from the position it would have reached if free, is a minimum.
Página 70 - Slephano del Bosco, were observed to have undergone a movement of a singular kind. The shock, which agitated the building, is described as having been horizontal and vorticose. The pedestal of each obelisk remained in its original place, but the separate stones above were turned partially round, and removed sometimes nine inches from their position without falling.
Página 51 - D'Alembert's principle the group .R will itself form a system of forces in equilibrium. Whence it follows that the group F will be in equilibrium with the group mf. Hence If forces equal to the effective forces but acting in exactly opposite directions were applied at each point of the system these would be in equilibrium with the impressed forces.

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