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 12
... Hence , the height of the homogeneous atmosphere will be { 1- - · 13.5962 0.76 metre X ÷ 0.00129954 { 1 - 3 8 ( n + 1 ) 8n +8 = 7951-36 metres x 8n + 5 * When n = 30 , the fraction increases the height of the homogeneous atmosphere by ...
... Hence , the height of the homogeneous atmosphere will be { 1- - · 13.5962 0.76 metre X ÷ 0.00129954 { 1 - 3 8 ( n + 1 ) 8n +8 = 7951-36 metres x 8n + 5 * When n = 30 , the fraction increases the height of the homogeneous atmosphere by ...
Page 14
... Hence the pressure of the inclosed air upon a unit of surface plus the pressure of the column of mercury whose length is the difference of heights of the two surfaces of mercury must equal the pressure of the barometric column . In the ...
... Hence the pressure of the inclosed air upon a unit of surface plus the pressure of the column of mercury whose length is the difference of heights of the two surfaces of mercury must equal the pressure of the barometric column . In the ...
Page 30
... Hence , remarking that in Article 12 all our pressures are estimated by weights , we have for the motion of the included air * , When a body whose weight is W falls freely under the action of gravity , it is in fact a mass W ( estimated ...
... Hence , remarking that in Article 12 all our pressures are estimated by weights , we have for the motion of the included air * , When a body whose weight is W falls freely under the action of gravity , it is in fact a mass W ( estimated ...
Page 31
... ) is d . velocity • or dt d2X dt Hence our equation becomes d2X Pressure = xg . dt ' Mass We shall often have occasion to use this equation . 22. The equation is independent of Local Gravity . The WAVES OF AIR IN A TUBE . 31.
... ) is d . velocity • or dt d2X dt Hence our equation becomes d2X Pressure = xg . dt ' Mass We shall often have occasion to use this equation . 22. The equation is independent of Local Gravity . The WAVES OF AIR IN A TUBE . 31.
Page 32
... Hence , wherever the experiments are made , gH is invariable . We shall put for it the symbol a ' . Now at Paris where the weights of air , & c . were determined , the length of the seconds pendulum = 39-12877 inches ( Encyclopædia ...
... Hence , wherever the experiments are made , gH is invariable . We shall put for it the symbol a ' . Now at Paris where the weights of air , & c . were determined , the length of the seconds pendulum = 39-12877 inches ( Encyclopædia ...
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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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