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absolute pitch amplitude application approximately calculated centre circle clamped coefficients component vibrations consider corresponding cosh Crown 8vo curve denote depends determined differential equation displacement edges Edition effect ellipse equal equal temperament equation of motion equilibrium example expressed finite fixed force acting forced vibration free vibrations frequency friction given gravest tone Green's theorem impressed force inertia infinite initial integral internal roots interval kinetic energy length load longitudinal mass method modes of vibration nodal diameters nodal lines nodal system nodes normal co-ordinates normal functions obtained octave P. G. Tait phase pitch plane plate positive potential energy problem quadratic function quantities quarter period radius ratio represented result satisfied shews sinh solution sound square string suppose symmetrical tension theorem theory tion TREATISE tuning fork type of vibration vanish velocity wave whence Young's modulus zero
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Page 333 - TODHUNTER— Works by I. TODHUNTER, MA, FRS, of St. John's College, Cambridge. '' Mr. Todhunter is chiefly known to students of Mathematics as the author of a series of admirable Diathematical text-books, which possess the rare qualities of being clear in style and absolutely free from mistakes, typographical or other.