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 x
... Combination of two plane waves from two sources 41. Theory of the simple echo • PAGE 56 • 57 62 · • 66 • 68 69 72 • 74 42. Various forms permissible in the expression defining a plane wave of air 43. Remarks on the Partial Differential ...
... Combination of two plane waves from two sources 41. Theory of the simple echo • PAGE 56 • 57 62 · • 66 • 68 69 72 • 74 42. Various forms permissible in the expression defining a plane wave of air 43. Remarks on the Partial Differential ...
Page xii
... combination of similar waves travelling in oppo- site directions ; and on stationary waves 59. Deficiencies still existing in the mathematical theory of atmospheric vibrations , as applied to important cases occurring in practice . PAGE ...
... combination of similar waves travelling in oppo- site directions ; and on stationary waves 59. Deficiencies still existing in the mathematical theory of atmospheric vibrations , as applied to important cases occurring in practice . PAGE ...
Page xv
... the compass of an Octave • 101. On the necessity for Temperament , in reference to long series of harmonics , and to the combination of different instruments . 242 247 253 SECTION X .. . ART . ON THE HUMAN ORGANS CONTENTS .: XV.
... the compass of an Octave • 101. On the necessity for Temperament , in reference to long series of harmonics , and to the combination of different instruments . 242 247 253 SECTION X .. . ART . ON THE HUMAN ORGANS CONTENTS .: XV.
Page 23
... combination of the two motions in Figure 6 and Figure 7 ; the vertical displace- ment of the particles so accompanying the horizontal displacements , that the places where the particles are most condensed in the horizontal direction are ...
... combination of the two motions in Figure 6 and Figure 7 ; the vertical displace- ment of the particles so accompanying the horizontal displacements , that the places where the particles are most condensed in the horizontal direction are ...
Page 32
... may depend on the temperature of the air . In any case it may be combined with 0 to form one factor . We shall in cal- culation consider n constant and equal to 1.2 . 23. General Solution of the Equation . The general solution 32 ON SOUND .
... may depend on the temperature of the air . In any case it may be combined with 0 to form one factor . We shall in cal- culation consider n constant and equal to 1.2 . 23. General Solution of the Equation . The general solution 32 ON SOUND .
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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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