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 21
... the value of N on the thermometer - reading . It will be convenient hereafter to put or for the fraction expressing the known thermometrical factor . SECTION III . THEORY OF UNDULATIONS , AS APPLIED TO PROPERTIES OF AIR . 21.
... the value of N on the thermometer - reading . It will be convenient hereafter to put or for the fraction expressing the known thermometrical factor . SECTION III . THEORY OF UNDULATIONS , AS APPLIED TO PROPERTIES OF AIR . 21.
Page 31
... factor in Article 17 , and n ' for N , d2X dt ďX = n2 . 02.gH. dc Increase of velocity in the direction of the force , produced in the unit of time } Pressure = × gi Mass provided that the pressures and masses are estimated as in ...
... factor in Article 17 , and n ' for N , d2X dt ďX = n2 . 02.gH. dc Increase of velocity in the direction of the force , produced in the unit of time } Pressure = × gi Mass provided that the pressures and masses are estimated as in ...
Page 32
... factor g is purely an atmospheric element . For it will be remarked in Article 12 that , in applying measures to a given state of air , D is independent of the gravity at the place of experiment , but P is inversely as the gravity ; and ...
... factor g is purely an atmospheric element . For it will be remarked in Article 12 that , in applying measures to a given state of air , D is independent of the gravity at the place of experiment , but P is inversely as the gravity ; and ...
Page 43
... factors 4 , and A , & c . do not occur . If the formula for X is restricted to the first term A , sin ( Bv + C1 ) , A , does not enter at all into the determination of V ; if there are other terms , the quotients 4 , & c . enter , but ...
... factors 4 , and A , & c . do not occur . If the formula for X is restricted to the first term A , sin ( Bv + C1 ) , A , does not enter at all into the determination of V ; if there are other terms , the quotients 4 , & c . enter , but ...
Page 43
... factors A , and A , & c . do not occur . If the formula for X is restricted to the first term A ̧ sin ( Bv + C1 ) , A , does not enter at all into the determination of V ; if there are other terms , the quotients , & c . enter , but not ...
... factors A , and A , & c . do not occur . If the formula for X is restricted to the first term A ̧ sin ( Bv + C1 ) , A , does not enter at all into the determination of V ; if there are other terms , the quotients , & c . enter , but not ...
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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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