 | Isaac Dalby - 1806 - 526 pągines
...and that of the second and third by b. If 3 numbers are in musical proportion, the first wilt he (o the third, as the difference between the first and second, is to the difference of the second and third. Let the first number be i ; Then the second will be * + a;... | |
 | Isaac Dalby - 1813 - 538 pągines
...that of the second and third by b. m If three numbers are ia musical proportion, the first will be to the third, as the difference between the first and second, is to the difference of the second and third. Let the first number be * ; Then the second will be x + a;... | |
 | James Maginness - 1821 - 378 pągines
...musical intervals, or the lengths of strings sounding musical notes; and of three numbers it is, when the first is to the third, as the difference between the first and second, is to the difference between the second and third, as the numbers 3, 4, and 6; for 3 : 6 : : 4 — 3 : 6... | |
 | Beriah Stevens - 1822 - 436 pągines
...musicaljntervals, or the lengths of strings sounding musical notes ; and of three numbers it is, when the first is to the third, as the difference between the first and second is to the difference between the second and third, as the numbers 3, 4, 6. Thus, if the lengths of strings... | |
 | 1823 - 936 pągines
...geometrical series. 3. Harmonic Series is that in which the first of any three of its consecutive terms is to the third, as the difference between the first and second to the difference between the second and third : hence we readily find that putting a and 6 for its... | |
 | James Ryan - 1824 - 550 pągines
...HARMONICAL PROPORTION AND PROGRESSION. 490. Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third. Thus, a, 6, c, are harmonically proportional, when a :... | |
 | James Ryan, Robert Adrain - 1824 - 542 pągines
...HARHOMCAL PROPORTION AND PROGRESSION. 490. Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third. Thus, a, 6, c, are harmonically proportional, when a :... | |
 | John Bonnycastle - 1825 - 336 pągines
...a+ar+ar-+ar3+ar*, &c. ad infinitum-^—. 1— r 9. Three quantities are said to be in harmonical proportion, when the first is to the third, as. the difference between the first and second is to the difference between the second and third. Thus, a, b, c, are harmonically proportional, when a:c... | |
 | Sir William Chambers, Joseph Gwilt - 1825 - 378 pągines
...for 9 divided by 6 is the same as 6 divided by 4, each being 1£ ; harmonical, wherein the first term is to the third as the difference between the first and second is to the difference between the second and third, or in four terms, where the first is to the fourth as... | |
 | Euclid, Dionysius Lardner - 1828 - 542 pągines
...locus of the vertex. *** (530) DBF. — Three magnitudes are said to be in harmonical progression, when the first is to the third as the difference between the first and second to the difference between the second and third. *#* (531) DBF. — A right line AB is said to be cut... | |
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Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression... 
