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A treatise on hydrostatics (1894)

Greenhill, G. (George), Sir, 1847-1927 · London and New York, Macmillan and Co. · leaf 78

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Akghin 6 + wD cos Q,B,z = i:,wQi+ysxaQ+zcosQ)A.A .z= wD sin 6+wA ky^cos 6, Aky^ and Ak^^ now denoting the moments of inertia ofthe area A about Gy and Gz. These considerations show that the c.p. describes anellipse in the plane A ; and that the axes of this ellipseare those for which B vanishes; so… … Fig. 27. If the momental ellipse becomes a circle, as for instancein a square plate, or in a plate bounded by a regular poly-gon, the c.p. is always vertically below the CG. of the area,at a depth inversely proportional to the depth of the c.G. 68 EXAMPLES ON In fig. 27 the position of the CP. of…

Hydrostatics

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