 | Isaac Dalby - 1806 - 526 σελίδες
...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; And the third ............... | |
 | John Bonnycastle - 1813 - 456 σελίδες
...between the first and second has to the difference between the third and fourth. Thus, the quantities a, b, c, d, are in harmonical proportion, when a : d : : a — b : с — d. Also, if there be taken any series of arithmeticals a, a + d, a + 2d, a + 3d, &c. their reciprocals... | |
 | James Maginness - 1821 - 378 σελίδες
...will sound an octave S to 6, a fifth 2 to 3, and a fourth 3 to 4. Again, between four numbers, when the first is to the fourth, as the difference between...is to the difference between the third and fourth, as in the numbers 5, 6, 8, 10; for 5 : 10 :: 6—5 : 10—8, and strings of the lengths 5, 6, 8, and... | |
 | James Maginness - 1821 - 378 σελίδες
...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 — 4. If the lengths of strings... | |
 | Beriah Stevens - 1822 - 436 σελίδες
...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 be as these numbers, they... | |
 | George Crabb - 1823 - 704 σελίδες
...first term is to the third as the difference between the second and third ; or in four terms, when the first is to the fourth as the difference between...second is to the difference between the third and the fourth ; the reciprocals of an arithmetical proportion are in harmonica) proportion. Proportion... | |
 | James Ryan - 1824 - 550 σελίδες
...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 : c : : a — b : b — c, or... | |
 | James Ryan, Robert Adrain - 1824 - 542 σελίδες
...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 : c : : a — b : b — c, or... | |
 | Sir William Chambers, Joseph Gwilt - 1825 - 378 σελίδες
...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 the difference between the... | |
 | John Bonnycastle - 1825 - 336 σελίδες
...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 ;;a— b : b — c, or a :... | |
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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. 
