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An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1868)

Smith, Augustus W. (Augustus William), 1802-1866 · New York : Harper · leaf 278

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1868, leaf 278
ection. Also, theratio of the part immersed to the whole mass is the same as 250 HYDROSTATICS. the ratio of their sections. We can therefore limit the investigation to the positions of equilibrium of one of the generatingsections. A Let ABC, Fig. 1, be a generating section whenonly one angle is… … ABC \bc sin. Axy=cbc. be (a) In Fig. 2, BQPC ABC-AQP bc-xy ABC be Q>) ABC.. xy=bc(\— a). Since (b) is derived directly from (a), by changing a into1 — a, we may examine the case of Fig. 1, and deduce that ofFig. 2 from the result, by changing a into 1 —a. Bisect BC in M, and QP in m. Join AM and…

Mechanics, Analytic

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