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Natural philosophy. including statics, hydrostatics, pneumatics, dynamics, hydrodynamics, the general theory of undulations, the science of sound, the mechanical theory of music, etc. : designed for the use of normal and grammar schools, and the higher classes in common schools (1861)

Sangster, John Herbert, 1831-1904 · Montreal : J. Lovell · leaf 128

An illustration from Natural philosophy. including statics, hydrostatics, pneumatics, dynamics, hydrodynamics, the general theory of undulations, the science of sound, the mechanical theory of music, etc. : designed for the use of normal and grammar schools, and the higher classes in common schools, 1861, leaf 128
. The Brachystochrone (Greek brachistos, shortest,and chronos, time,) or curve of quickest descentj is acurve somewhat greater than a circular curve, being whatmathematicians denominate a cycloid^ or that which is de-scribed by a point in the circumference of a carriage-wheelrolling along a plane.… … we have accelerating force of gravity on inclined plane : g :accelerating force of gravity on inclined planes =:^, to its lengthh:l; and hence where h = height of plane.I zzz length. g = effect of gravity ^ 32. Substituting this value of the effect of gravity in the formulas in Art. 266, we get the…

Physics

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