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 xiii
... equal in- tervals of time ; the greater rapidity of repetition producing a note of higher pitch . The Tuning - fork , the Siren , the Reed , the Monochord . · 72. The quality of a musical note is determined by the form of the function ...
... equal in- tervals of time ; the greater rapidity of repetition producing a note of higher pitch . The Tuning - fork , the Siren , the Reed , the Monochord . · 72. The quality of a musical note is determined by the form of the function ...
Page 4
... equal dimen- . sions on different sides , the confined air will exert equal pressures on the stoppers of those holes ; and , if one of them is removed , the air will rush out with the same velocity , whichever be the hole selected , and ...
... equal dimen- . sions on different sides , the confined air will exert equal pressures on the stoppers of those holes ; and , if one of them is removed , the air will rush out with the same velocity , whichever be the hole selected , and ...
Page 5
... Equal Pressure applied to every small volume of air in motion . Indeed , as all our experiments on air are made on air moving through space with great rapidity , it is impossible to deny the application of experimental re- sults derived ...
... Equal Pressure applied to every small volume of air in motion . Indeed , as all our experiments on air are made on air moving through space with great rapidity , it is impossible to deny the application of experimental re- sults derived ...
Page 10
... equal to the weight of a sea of air whose depth is 0.76 metre x 13.5962 0.00129954 ' provided that air were like water , an incompressible and homogeneous fluid ; the weight being considered as pro- duced by the action of gravity at ...
... equal to the weight of a sea of air whose depth is 0.76 metre x 13.5962 0.00129954 ' provided that air were like water , an incompressible and homogeneous fluid ; the weight being considered as pro- duced by the action of gravity at ...
Page 13
... equal to the pressure similarly measured in the open leg , and the elastic state of the air in the closed leg is the same as that of the open air . Suppose now , that to produce the state of things in Figure 4 , some quicksilver is ...
... equal to the pressure similarly measured in the open leg , and the elastic state of the air in the closed leg is the same as that of the open air . Suppose now , that to produce the state of things in Figure 4 , some quicksilver is ...
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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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