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 viii
... PIPE , OR OF A PLANE WAVE THROUGH THE ATMOSPHERE GENERALLY . Articles 18-34 . Pages 22-55 . 18. General conception of a Wave · 22 • 22 19. The idea of a Wave first entertained and developed by Newton 20. Newton's treatment of Waves of ...
... PIPE , OR OF A PLANE WAVE THROUGH THE ATMOSPHERE GENERALLY . Articles 18-34 . Pages 22-55 . 18. General conception of a Wave · 22 • 22 19. The idea of a Wave first entertained and developed by Newton 20. Newton's treatment of Waves of ...
Page xiv
... pipe open at both ends 80. Theory for a pipe closed at one end and open at the " other . PAGE • 178 . 181 · . 183 81. Methods of exciting the vibrations of air in a musical pipe : theory of Resonance • • 188 82. Reaction of the air in ...
... pipe open at both ends 80. Theory for a pipe closed at one end and open at the " other . PAGE • 178 . 181 · . 183 81. Methods of exciting the vibrations of air in a musical pipe : theory of Resonance • • 188 82. Reaction of the air in ...
Page 22
... PIPE , OR OF A PLANE WAVE THROUGH THE ATMOSPHERE RALLY . 18. General conception of a Wave . GENE- The theory of the transmission of Sound through the air ( as well as through other bodies ) is essentially founded upon the conception of ...
... PIPE , OR OF A PLANE WAVE THROUGH THE ATMOSPHERE RALLY . 18. General conception of a Wave . GENE- The theory of the transmission of Sound through the air ( as well as through other bodies ) is essentially founded upon the conception of ...
Page 35
... being the algebraic sum of the disturbances corresponding separately to the two separate waves . In treating of the disturbance of air in musical pipes , we shall find it necessary hereafter D 2 WAVES OF AIR IN A TUBE . 35.
... being the algebraic sum of the disturbances corresponding separately to the two separate waves . In treating of the disturbance of air in musical pipes , we shall find it necessary hereafter D 2 WAVES OF AIR IN A TUBE . 35.
Page 36
Designed for the Use of Students of the University George Biddell Airy. in musical pipes , we shall find it necessary hereafter to take into account the two waves as simultaneously existing ; but for the present , in treating of the ...
Designed for the Use of Students of the University George Biddell Airy. in musical pipes , we shall find it necessary hereafter to take into account the two waves as simultaneously existing ; but for the present , in treating of the ...
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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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