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Elements of mechanics: for the use of colleges, academies, and high schools (1859)

Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 71

An illustration from Elements of mechanics: for the use of colleges, academies, and high schools, 1859, leaf 71
yramid is on this line (Art. 52). Let AB CD be a pyramid, and K the middle point ofDC. Draw KB and If A, and layoff KG ■=. \KB, and KG = \KA.Then will G be the centre of gravityof the face DB C, and G that of theface CAD. Draw AG and BG in-tersecting in G. Because the centreof gravity of the… … CENTRE OF GRAVITY. 69 their homologous sides are proportional. But 0 Or is one-third of AB, consequently OG is one-third of GA, or one-fourth of AO. Hence, the centre of gravity of a triangular pyramid ison a line drawn from its vertex to the centre of gravity ofits base, and at one-fourth of the…

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