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" ... latter. 8. Prove that three infinitely long straight cylindrical vortices of equal strengths will be in stable steady motion, when situated at the vertices of an equilateral triangle whose sides are large compared with the radii of the sections of... "
An Elementary Treatise on Hydrodynamics and Sound - Seite 116
von Alfred Barnard Basset - 1890 - 187 Seiten
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A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele

Peter Guthrie Tait - 1878 - 480 Seiten
...as very nearly to describe a circle whose diameter is the latus rectum of the generating parabola ; prove that the time of a small oscillation is the same as that of a pendulum of length a, where 4a is the latus rectum. (59) A particle moves in the interior of a smooth...
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A Treatise on Dynamics of a Particle: With Numerous Examples

Peter Guthrie Tait, William John Steele - 1878 - 438 Seiten
...as very nearly to describe a circle whose diameter is the latus rectum of the generating parabola ; prove that the time of a small oscillation is the same as that of a pendulum of length a, where 4a is the latus rectum. * (59) A particle moves in the interior of a...
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A Treatise on Dynamics

William Henry Besant - 1885 - 376 Seiten
...tube, and the string subtends at the centre an angle 2 (TT — a). If they be slightly disturbed, shew that the time of a small oscillation is the same as that of a simple pendulum of length a sec a. 33. A particle moves under the action of a central force •which...
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A Treatise on Hydrodynamics: With Numerous Examples, Band 2

Alfred Barnard Basset - 1888 - 372 Seiten
...of the cylinder is nearly threefifths of the radius of the latter. 11. Prove that three infinite!}7 long straight cylindrical vortices of equal strengths...revolution of the system in its undisturbed state. 12. A straight cylindrical vortex column of uniform vorticity f, is surrounded by an infinite quantity...
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