Transactions and proceedings of the Royal Society of Victoria .. . ation is everywhere a tangent to the surface;for instance, at b and d the plane is tangential to the curveat e and/ on the same level. The velocity with which thebody is carried round is of course uniform, and in deepwater is always less than the horizontal velocity of thewave. 21. The absolute motion or locus described by a givenpoint of the floating body is an epicycloidal curveresembling an elhpse, one of whose axes is the diame-ter of the orbital circle. For instance, (fig. 6, plate 2) if a bc d he the orbital circle as bef
Transactions and proceedings of the Royal Society of Victoria .. . ation is everywhere a tangent to the surface;for instance, at b and d the plane is tangential to the curveat e and/ on the same level. The velocity with which thebody is carried round is of course uniform, and in deepwater is always less than the horizontal velocity of thewave. 21. The absolute motion or locus described by a givenpoint of the floating body is an epicycloidal curveresembling an elhpse, one of whose axes is the diame-ter of the orbital circle. For instance, (fig. 6, plate 2) if a bc d he the orbital circle as before, the mast-head will * Hence it appears that the common proposition that a floating bodydisplaces its own weight of water is incorrect, except in the case when thethe surface of the water in which it floats is horizontal. If 6 represent theangle of inclination of the surface, and B the weight of the body, B cos 6 isthe true weight of the displaced water. Hence also, a body on the side of awave, is less immersed than when in the trough or on the summit. r^^. Jiq 6.
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Keywords: ., bookcentury1800, bookdecade1860, booksubjectscience, bookyear1864