On Sound and Atmospheric Vibrations, with the Mathematical Elements of Music: Designed for the Use of Students of the UniversityMacmillan, 1871 - Всего страниц: 279 |
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a² dt angle Article 37 becomes Article 43 at-x atmosphere center of divergence changed coefficient cos² cubic centimetre d²F d²R density depends diatonic scale direction distance disturbance divergent wave dr dv dr² dt² dx dF dx dx dx dy dz dx² dy dx dy dY dY dy² dz dz elastic force elastic pressure equation of Article expression factor function gravity HDbc Hence increased integral interval investigation key-note length mercury motion musical note normal number of vibrations Octave ordinates original oscillating parallelopiped Partial Differential Equations pendulum pendulum-bob perfect Fifths pipe plane wave plane xy produced prong proportion quantity radial velocity radius remarked represented shews solution specific gravity spherical string suppose surface theory tion tube tuning-fork velocity of sound vibrations of air wave of air xy dR y²+z² z² dR
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Стр. iii - ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students in the University.
Стр. 235 - God save our gracious Queen, Long live our noble Queen, God save the Queen: Send her victorious, Happy and glorious, Long to reign over us: God save the Queen.
Стр. 203 - In the section on open organ-pipes he says : — "It was found by Mr. Hopkins that the node next the open mouth of the pipe was somewhat less distant from it than that given by theory, or, which amounts to the same thing, that the place where the air has always the same density as the external air is not exactly at the pipe's mouth but somewhat exterior to it.
Стр. 23 - ... the particles at successive equal intervals of time, it is plain that we have states of condensation and states of rarefaction travelling on continually without limit, in one direction; while the motion of every individual particle is extremely small, and is alternately backwards and forwards. And this is the conception of a wave as depending on the...
Стр. 142 - Airy remarks that the acceleration arising from the greater displacement ef the particles could not possibly have amounted to 200 feet; and he seems to consider the phenomenon entirely physiological. Hu says that when a violent or sudden noise is heard, it is preceded by the perception of a shock throughout the bodily frame. This shock must have been mistaken for the sound itself.
Стр. 22 - The theory of the transmission of sound through the air (as well as through other bodies) is essentially founded upon the conception of the transmission of waves, in which the nature of the motion is such, that the movement...
Стр. 197 - Prof. Airy is as evidently dissatisfied with the state of theory and experiment, using such phrases as these : " the matter, however, demands more complete explanation;" "that obscure subject, the production of musical vibrations in a pipe by a simple blast of air;" " possibly when the mathematical calculus is farther advanced, this may be shown,
Стр. 38 - ... Plane Wave of three dimensions (Airy's Sound and Atmospheric Vibrations, p. 38). " If we have a great number of pipes side by side with waves of a similar character passing simultaneously through all, so that the collateral condensations and pressures of air in the adjacent pipes will be the same, there will be no tendency of the air in one pipe to press sideways into another pipe ; we may therefore remove the material boundaries of these pipes, and then we have air, extended in three dimensions...
Стр. 205 - On musical sounds, and the manner of producing them ; On the elements of musical harmony and melody, and of simple musical composition ; On instrumental music ; On the human organs of speech and hearing. A TREATISE OF MAGNETISM.
Стр. 137 - In the greatest part of the experiments, the observations have been those of the flash and the report of a distant cannon. The...