 | Benjamin Greenleaf - 1852 - 348 páginas
...and a fourth 3 to 4. 277. Four numbers are in harmonical proportion, when the first is to the fourth, as the difference between the first and second is to the difference between the third and fourth. Thus, the numbers 5, 6, 8, 10 are in harmonic proportion. For, 5 : 10 : : 6—5 :... | |
 | G. Ainsworth - 1854 - 216 páginas
...c=a—b : b—c. Four quantities are said to be in Har. Prog, when the first term is to the fourth term as the difference between the first and second is to the difference between the third and fourth. a, b, c, d are in Har. Prog, when a : d=(b—a) : (d—c). Any series of quantities... | |
 | Charles Davies, William Guy Peck - 1855 - 628 páginas
...are in harrnonial proportion, because 24 : 9 : : 8 : 3. Three quantities are in harmonial proportion when the first is to the third as the difference between...is to the difference between the second and third. Thus, the numbers 6, 4, and 3 are in harmonial proportion, because G : 3 : : 2 : 1. PRO-PöRTION-AL.... | |
 | Charles Davies, William Guy Peck - 1855 - 592 páginas
...PHOPORTIOX HAKMOMAL. Four quantities arc in ii .rni.ini.il proportion when the first is to the fourth as the difference between the first and second is to the difference between the third and fourth. Thus 24, 10, 12, and 9 are in li.iini.nn.il proportion, because 24 : 9 : : 8 : 3.... | |
 | Elias Loomis - 1855 - 356 páginas
...and 8. (229.) Four quantities are said to be in harmonical proportion when the first is to the fourth as the difference between the first and second is to the difference between the third and fourth. Thus, 2, 3, 4, 8 are in harmonical proportion ; for 2:8:: 3—2 : 8-4. Let a, b,... | |
 | James W. Kavanagh - 1857 - 298 páginas
...numbers is said to form a harmonical series when of every three of its consecutive [following] terms the first is to the third, as the difference between...is to the difference between the second and third ; thus 12, 8, and 6 form a harmonical series, for 12 : 6 : : 12—8 : 8—6. 308. The middle one of... | |
 | Horace Mann, Pliny Earle Chase, Phiny Earie Chase - 1857 - 394 páginas
...he was 500 years old ? Ans. 33554430. 9O. HARMONICAL PROGRESSION.* When three numbers are such that the first is to the third, as the difference between...is to the difference between the second and third, they are said to be in HARMONICAL PROPORTION ; and a series of numbers, in continued harmonical proportion,... | |
 | Horace Mann, Pliny Earle Chase - 1857 - 388 páginas
...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...is to the difference between the second and third, they are said to be in HARMONICAL PROPORTION ; and a series of numbers, in continued harmonical proportion,... | |
 | Elias Loomis - 1858 - 394 páginas
...are said to be in harmonical proper tion when the first is to the third as the difference between tin first and second is to the difference between the second and third. Thus, 2, 3, 6 are in harmonical proportion ; for 2:6:: 3-2 : 6—3. Let a, b, c be in harmonical proportion... | |
 | John Fair Stoddard, William Downs Henkle - 1859 - 538 páginas
...: cirfcn. (a:c ::m:n ) HARMONICAL PROPORTION. (4O3.) Three quantities are in harmonical proportion, when the first is to the third, as the difference between the first and the second is to the difference between the second and third. The quantities a, 6, and e aro in karmonical... | |
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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. 
