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Composition of harmonic motions of like period Harmonic Curve Com
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absolute pitch acoustics amplitude application approximately arbitrary axis boundary calculated circle circle of latitude circuit circular clamped coefficients component condition considered constant corresponding cosh curvature curve cylinder denote density depends determined diameters differential equation displacement effect equal equal temperament equation of motion equilibrium expressed finite forced vibrations fork free vibrations frequency friction given gravest tone harmonic increases independent induction inertia infinite initial integral interval investigation isochronism kinetic energy length load longitudinal membrane method mutual induction negative nodal lines nodes normal co-ordinates normal functions obtained octave period phase pitch plane plate positive potential energy principal curvature problem propagation proportional quadratic function quantities quarter period ratio Rayleigh represented resistance result roots satisfied shews simple solution sound square string suppose surface tension theorem theory tion vanish velocity waves wire Young's modulus zero