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 26
... complete or double oscillation of that pendulum , the pulse will pass over the space 2πH . ” It is difficult to give an idea of the process without copying Newton's very words ; but it depends on esti- mating , from the preceding ...
... complete or double oscillation of that pendulum , the pulse will pass over the space 2πH . ” It is difficult to give an idea of the process without copying Newton's very words ; but it depends on esti- mating , from the preceding ...
Page 27
... complete oscillation backwards and forwards between the time T and the time T + 7 ; and it will also be seen that , between the time T and the time T + 7 , the state of condensation has travelled forward with uniform velo- city from a ...
... complete oscillation backwards and forwards between the time T and the time T + 7 ; and it will also be seen that , between the time T and the time T + 7 , the state of condensation has travelled forward with uniform velo- city from a ...
Page 35
... complete solution of the differential equation represents two waves , moving in opposito directions , and coexisting ; tho complete value of the disturbance X being the algebraic sum of the disturbances corresponding separately to the ...
... complete solution of the differential equation represents two waves , moving in opposito directions , and coexisting ; tho complete value of the disturbance X being the algebraic sum of the disturbances corresponding separately to the ...
Page 47
... complete account in an intelligible form of the meaning of the discontinuous function . 32. Formation of the Equation when small quanti- ties are not neglected , and approximate Solution . In Article 21 , the investigation was completed ...
... complete account in an intelligible form of the meaning of the discontinuous function . 32. Formation of the Equation when small quanti- ties are not neglected , and approximate Solution . In Article 21 , the investigation was completed ...
Page 47
... complete account in an intelligible form of the meaning of the discontinuous function . 32. Formation of the Equation when small quanti- ties are not neglected , and approximate Solution . In Article 21 , the investigation was completed ...
... complete account in an intelligible form of the meaning of the discontinuous function . 32. Formation of the Equation when small quanti- ties are not neglected , and approximate Solution . In Article 21 , the investigation was completed ...
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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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