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An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)

Smith, Augustus William, 1802-1866 · New York, Harper · leaf 75

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 75
a pyramid whose baseis any polygon. In the pyramid A BCDEF find G, the center of gravity ofthe polygonal base (Ex. 4),and join AG. Since AGpasses through the centerof gravity of the base, itwill pass through the cen-ter of gravity of every sec-tion parallel to the base,and the center of gravityof… … 52 STATICS. sides. The centers of gravity of these pyramids will be atone fourth the distances, respectively, from the centers of grav-ity of their triangular bases to the common vertex A. Thesedistances being thus divided proportionally, the points of di-vision will all lie in the same plane…

Mechanics, Analytic

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