On Sound and Atmospheric Vibrations, with the Mathematical Elements of Music: Designed for the Use of Students of the University |
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Page 17
... seen from this that if the symbol H be confined to the meaning " height of homogeneous atmosphere at the freezing point of water , " then the corresponding height II ' , for the temperature 50 ° Fahrenheit , will be 500 482 x H. 15 ...
... seen from this that if the symbol H be confined to the meaning " height of homogeneous atmosphere at the freezing point of water , " then the corresponding height II ' , for the temperature 50 ° Fahrenheit , will be 500 482 x H. 15 ...
Page 26
... seen is propor- tional to sine ( Bt - Dx ) ; he then takes the excess of the front elasticity above the back elasticity , which evidently is proportional to cosine ( Bt - Dx ) : and as this backward force is proportional to X , he ...
... seen is propor- tional to sine ( Bt - Dx ) ; he then takes the excess of the front elasticity above the back elasticity , which evidently is proportional to cosine ( Bt - Dx ) : and as this backward force is proportional to X , he ...
Page 27
... seen upon examination of Figure 6 ; in tracing the successive states of each particle a , d , g , 2T & c . at each time T , T + , T + , T + , T + 7 , it 4 4 will be seen that every particle has gone through its complete oscillation ...
... seen upon examination of Figure 6 ; in tracing the successive states of each particle a , d , g , 2T & c . at each time T , T + , T + , T + , T + 7 , it 4 4 will be seen that every particle has gone through its complete oscillation ...
Page 53
... seen here that the law of displacement of the particles undergoes change as the wave travels on . The original function receives the addition of new functions , which are affected with multipliers depending on the distance of the ...
... seen here that the law of displacement of the particles undergoes change as the wave travels on . The original function receives the addition of new functions , which are affected with multipliers depending on the distance of the ...
Page 55
... seen that , in the state of the far - advanced wave , The first part of the forward displacement is more rapid than in the primitive wave . The latter part also is more forward , or the retreat is slower , than in the primitive wave ...
... seen that , in the state of the far - advanced wave , The first part of the forward displacement is more rapid than in the primitive wave . The latter part also is more forward , or the retreat is slower , than in the primitive wave ...
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Common terms and phrases
Algebra applied at-x bell Cambridge changes cloth coefficient College concord Crown 8vo density depending diatonic scale direction distance disturbance divergent wave dR dr dr² dx dx dx dy dz Edition elastic force elastic pressure experiments expression factor fcap function fundamental note give gravity harmonics Hence increased integral interval investigation key-note law of sines length Mathematical mètres motion musical note number of vibrations Octave ordinate organ-pipe original oscillating Partial Differential Equations pendulum pendulum-bob perfect Fifths periodical function pipe plane wave produced prong proportion quantity radius reed reed-tongue remarked represented scale shews similar sin ct solution specific gravity sphere string student Suppose surface theory tion tone tube tuning-fork velocity of sound vibrations of air vocal ligaments vowel-sound wave of air weight wire
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