## The Theory of Sound, Volume 1 |

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absolute pitch amplitude application approximately arbitrary calculated centre circle circular clamped coefficients component vibrations consider constant 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 forced vibration free vibrations frequency friction give given gravest tone Green's theorem impressed force inertia infinite initial integral interval kinetic energy length load longitudinal mass membrane 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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