 | Richard Wormell - 1876 - 268 pages
...A to B. 61. Proportion is the equality of ratios. In other words, four magnitudes form a proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Since the two members of any equality can be interchanged, it follows from this... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...the other antecedent must be greater than its consequent ; if equal, equal ; and if less, less. 1 2. Three quantities are said to be proportional when...second is equal to the ratio of the second to the third ; thus, if A, B, and.C are in proportion, then A:B::B:C, or, A:B=B:C. In this case the middle term... | |
 | James Hamblin Smith, Thomas Kirkland - Arithmetic - 1877 - 376 pages
...required = 3X9, .'. number required = ^T = 5|.. 219. Three numbers are said to be in OtwrnroED PROPORTION 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 continued proportion, for f = A. The second number is called a MEAN PBOPOBTIONAL... | |
 | William Frothingham Bradbury - Algebra - 1877 - 280 pages
...T, ie - -f- т = -, or b : a. ab aba 195. PROPORTION is an equality of ratios. Four quantities are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality (=) or by four... | |
 | 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... | |
 | Elias Loomis - 1880 - 456 pages
...the other antecedent must be greater than its consequent ; if equal, equal ; and if less, less. 12. Three quantities are said to be proportional when...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
...definition of 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 - 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... | |
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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 the third. 
