 | John Bonnycastle - 1848 - 334 pages
...PROGRESSION. An harmonical progression is a series of which the first of any three consecutive terms is to the third, as the difference between the first and second is to the difference between the second and third. Thus, 1, i,!,*,i, and 2, 2f, 3, 4, 6, 12, are harmonical... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
...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, 6. Thus if the lengths of strings... | |
 | Uriah Parke - Arithmetic - 1850 - 402 pages
...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, 6. Thus if the lengths of strings... | |
 | John Bonnycastle - Algebra - 1851 - 288 pages
...c - » ^ infinitum - . J. ~^~ /* 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 :... | |
 | Horace Mann - 1851 - 384 pages
...he was 500 years old? Ans. 33554430. OO. HARMONICAL PROGRESSION.» When three numbers are such that the first is to the third, as the difference between the first and second is to the difference between the second and third, they are said to be in HARMONICAL PROPORTION ; and a series... | |
 | Benjamin Greenleaf - Algebra - 1852 - 348 pages
...XX. HARMONICAL PROGRESSION. ART. 276. Three numbers are said to be in harmonica! progression, 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, the numbers 3, 4, 6 are in harmonical proportion.... | |
 | G. Ainsworth - 1854 - 216 pages
...HARMONICAL PROGRESSION. Three quantities are said to be in harmonical progression when the first term is to the third as the difference between the first and second is to the difference between the second and third. a, 6, с are in Har. Prog, when a : c=a—b : b—c. Four... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...harrnonial proportion, because 24 : 9 : : 8 : 3. Three quantities are in harmonial 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, the numbers 6, 4, and 3 are in harmonial proportion,... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...li.iini.nn.il proportion, because 24 : 9 : : 8 : 3. Three quantities arc in harmonial proportion when Ihc first is to the third as the difference between the first and second is to the difference between the second and third. Thus, the numbers 6, 4. and 3 are in harmonial proportion,... | |
 | Horace Mann, Pliny Earle Chase - Arithmetic - 1857 - 388 pages
...when he was 500 years old? Ans. 33554430. >. HARMONICAL PROGRESSION.* When three numbers are such that the first is to the third, as the difference between the first and second is to the difference between the second and third, they are said to be in HARMONICAL PROPORTION ; and a series... | |
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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... 
