 PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.  Elementary Algebra - Page 244by George Hervey Hallett, Robert Franklin Anderson - 1917 - 402 pagesFull view - About this book
 | James Hamblin Smith - Arithmetic - 1878 - 390 pages
...=3x9, .'. number required = ^. = 5|. • 198. Three numbers are said to be in CONTINUED PROPORT1ON when the ratio of the first to the second is ' equal to the ratio of the second to the third. Thus 3, 6, 12, are in continued proportion, The second number is called a MEAN PROPORTIONAL between... | |
 | James Maurice Wilson - 1878 - 450 pages
...consequents, B, Q. Def. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third... | |
 | James Hamblin Smith - Algebra - 1879 - 430 pages
...extremes. The factors of the other product must form the means. 358. Three quantities are said to he in CONTINUED PROPORTION when the ratio of the first...is equal to the ratio of the second to the third. Thus a, b, с are in continued proportion if a : 6 = 6 : c. Four quantities are said to be in Continued... | |
 | Elias Loomis - 1880 - 456 pages
...consequent ; if equal, equal ; and if less, less. 12. Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to tho third ; thus, if A, B, and C are in proportion, then A:B::B:C, or, A:B=B:C. , In this case the... | |
 | James Thomson - 1880 - 408 pages
...Fonr numbers (or four numerics generally) constituting two equal ratios, and written in order so that the ratio of the first to the second is equal to the ratio of the third to the fourth (as, for instance 10, 15, 8, 12), are commonly called four proportionals. The first... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...a ratio gives us another definition of a proportion, namely: 354. Four magnitudes are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus the ratio B : A is the inverse of A : B. If A : B :: m : n, then A : B =... | |
 | James Hamblin Smith - Arithmetic - 1882 - 392 pages
...3:5 = number required : 9, .-. 5 x number required = 3x9, .-. number required = -*/- = 5f. 198. Three numbers are said to be in CONTiNUED PROPORTiON when...is equal to the ratio of the second to the third. Thus 3, 6, 12, are in continued proportion, Ex. (1). Find a mean proportional between 8 and 18. 8 :... | |
 | James Hamblin Smith - 1883 - 466 pages
...the other product must form the means. 358. Three quantities are said to be in CONTINUED PEOPOETION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, b, c are in continued proportion if a : 6 = 6 : c. The quantity b is called a MEAN PEOPOETIONAL... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...7, how far from either shore will be their meeting-place ? 195. When three quantities are such that the ratio of the first to the second is equal to the ratio of the second to the third, the second quantity is called a mean proportional between the other two. Thus, if A:B = B: C, then... | |
 | Mathematical association - 1883 - 86 pages
...consequents, B, Q. DEF. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third... | |
| |
