 | Jeremiah Day - 1814 - 304 páginas
...389. 6. Then a:ar::ar—a:arz—ar::arx—ar:ar'—ar*, &c. That is, the first term is Ui liu- second, as the difference between the first and second, to the difference between the second and third; and as tn« difference between the second and third, to the difference between the third and fourth,... | |
 | James Maginness - 1821 - 378 páginas
...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 —... | |
 | Beriah Stevens - 1822 - 436 páginas
...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... | |
 | 1823 - 936 páginas
...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...second to the difference between the second and third : hence we readily find that putting a and 6 for its two first terme, its general form will be n /i... | |
 | James Ryan, Robert Adrain - 1824 - 542 páginas
...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... | |
 | James Ryan - 1824 - 550 páginas
...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... | |
 | John Bonnycastle - 1825 - 336 páginas
...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... | |
 | Sir William Chambers, Joseph Gwilt - 1825 - 378 páginas
...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... | |
 | Jeremiah Day - 1827 - 352 páginas
...'.ar — a : ar3 —ar'.-'.ar3 — ar : ar3 — ar3, &c. That is, the first term is to the second, as the difference between the first and second, to the difference between the second and third ; and as the difference between the second and third, to the difference betAveen the third and fourth,... | |
 | Euclid, Dionysius Lardner - 1828 - 542 páginas
...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...second to the difference between the second and third. *#* (531) DBF. — A right line AB is said to be cut harmonically at two points CD, when AC, AD, AB... | |
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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... 
