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" Any given regular periodic form of vibration can always be produced by the addition of simple vibrations, having vibrational numbers, which are once, twice, thrice, four times, etc., as great as the vibrational number of the given motion. "
Proceedings of the Royal Society of Edinburgh - Page 78
by Royal Society of Edinburgh - 1900
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Proceedings, Volume 22

Royal Society of Edinburgh - 1900 - 880 pages
...Photography, 1896, p. 21. t For a figure of such an analyser, see M'Kendrick's Physiology, vol. ii. fig. «18, p. 686. tone. This tone is usually compound, the constituents...vibrational number of the given motion." 8. If we know the amplitudes of the simple vibrations and the difference of these, then any regularly periodic motion...
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On the sensations of tone as a physiological basis for the theory of music ...

Hermann Ludwig F. von Helmholtz - 1875 - 900 pages
...which in reference to our present subject may be thus enunciated : Any given regular periodic farm of vibration can always be produced by the addition of simple vibrations, having vibrational numbers ivhich are once, twice, thri-ce, four times, &c., as great as the vibrational number of the given motion....
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Musical accoustics; or, The phenomena of sound as connected with music

John Broadhouse - 1881 - 456 pages
...correctness of a mathematical law, which in reference to our present subject may be thus enunciated : Any given regular periodic form of vibration can always...numbers which are once, twice, thrice, four times, &a, as great as the vibrational number of the given motion. " The amplitudes of the elementary simple...
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On the Sensations of Tone as a Physiological Basis for the Theory of Music

Hermann von Helmholtz - 1885 - 608 pages
...correctness of a mathematical law, which in reference to our present subject may be thus enunciated : Any given regular periodic form of vibration can always...produced by the addition of simple vibrations, having fitch numbers which are once, twice, thrice, four times, <EC., as great as the pitch numbers of the...
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Arithmetical Physics ...

Charles Josiah Woodward - 1890 - 228 pages
...correctness of a mathematical law, which in reference to our present subject may be thus enunciated : — Any given regular periodic form of vibration can always...produced by the addition of simple vibrations, having pitch numbers which are once, twice, thrice, four times, &c., as great as the pitch numbers of the...
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On the Sensations of Tone as a Physiological Basis for the Theory of Music

Hermann von Helmholtz - 1895 - 608 pages
...correctness of a mathematical law, which iu reference to our present subject may be thus enunciated : Any given regular periodic form of vibration can always...be produced by the addition of simple vibrations, /taving pitch numbers which are. once, twice, thrice, four times, <tc., as great as the pitch numbers...
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Masters of medicine v. 4, 1899, Volume 4

1899 - 338 pages
...corresponding to a simple tone such as a tuning fork approximately gives. Fourier's 2 theorem states that any given regular periodic form of vibration can always...having vibrational numbers which are once, twice, three times, etc., as great as the vibrational number of the given motion ; and further, if we know...
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Hermann Ludwig Ferdinand Von Helmholtz

John Gray McKendrick - 1899 - 344 pages
...produced by the addition of simple vibrations having vibrational numbers which are once, twice, three times, etc., as great as the vibrational number of the given motion ; and further, if we know the amplitudes of the simple vibrations and the differences of phase, then...
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Transactions of the Aberdeen Philosophical Society

Philosophical Society of Aberdeen - 1900 - 288 pages
...evident that such combinations of simple waves may give rise to an infinite variety of wave-forms, but, according to Fourier's theorem, " any given regular...vibrational number of the given motion." 8. If we know the amplitudes of the simple vibrations and the difference of phase, then any regularly periodic motion...
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Transactions

Philosophical Society of Aberdeen - 1900 - 284 pages
...evident that such combinations of simple waves may give rise to an infinite variety of wave-forms, but, according to Fourier's theorem, "any given regular...vibrational number of the given motion." 8. If we know the amplitudes of the simple vibrations and the difference of phase, then any regularly periodic motion...
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