 | Benjamin Martin - 1747 - 574 σελίδες
...between four Numbers is, when the Firft is to the Fourth as the Difference between the Firft and Sfcond is to the Difference between the Third and Fourth, as in the (See Annotation XXII.) alfo that the Force of moving Bodies is as the Quantity of Matter and Velocity... | |
 | 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 ............... | |
 | 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
...when the 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...second is to the difference between the third and the fourth ; the reciprocals of an arithmetical proportion are in harmonica) proportion. Proportion... | |
 | 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... | |
 | 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... | |
 | 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 :... | |
 | John Bonnycastle - 1829 - 372 σελίδες
...infinitum ° 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,ora:c::b—a:c... | |
 | Thomas Curtis - 1829 - 798 σελίδες
...the article PROPORTION, that if three numbers be in harmonical proportion the first is to the third as the difference between the first and second is to the difference between the second and third. Let a, b, and x be three terms in harmonical proportion ; then a ; x '. '. a —... | |
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... 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. 
