| 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 - 444 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
...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... | |
| Ward, Lock and co, ltd - 1884 - 970 pages
...2x5x6x7:3x7x11x10, or the fraction ,* y'"^ * *Q. which-*. PBOPOBTION. When four numbers are such that **the ratio of the first to the second is equal to the ratio of the** third to the fourth, then the four numbers are said to form a proportion, or to be in proportion. The... | |
| Homersham Cox (the younger) - 1885 - 220 pages
...contained in 10 the same number of times that 1 is in 5. If four quantities are in proportion so that **the ratio of the first to the second is equal to the ratio of the** third to the fourth, then each of these ratios will be equal to the ratio of the sum of the first and... | |
| Warren H. Sadler - 1888 - 426 pages
...Ib. : 3 Ib. is the first couplet, 64? : 24? the second couplet. •1 • I O. Three quantities are **proportional when the ratio of the first to the second...equal to the ratio of the second to the third. Thus,** 8 Ib., 4 Ib., and 2 Ib. are proportional, since 8 -t- 4 = 4 -t- 2. The second quantity (4 Ib.) is called... | |
| George Soulé - Arithmetic - 1888 - 570 pages
...are the consequents ; 3 and 8 are the extremes; and G and 4 are the means. 486. Three numbers .are **proportional, when the ratio of the first to the second...equal to the ratio of the second to the third. Thus,** 4, 8, and 16 are proportional, since 4 : 8 : : 8 : 16, each ratio be«g2. In this kind of proportion... | |
| Charles Smith - Algebra - 1888 - 571 pages
...of Art. 162, be proved to be true for the ratios of incommensurable numbers. PROPORTION. 207. Four **quantities are said to be proportional when the ratio...the first to the second is equal to the ratio of the** third to the fourth. Thus a, b, c, d are proportional, if This is sometimes expressed by the notation... | |
| Edward Albert Bowser - Algebra - 1888 - 876 pages
...ratio x : y. Ans. 3 : 4. PROPORTION. 156. Definitions. — Four quantities are said to be in proportion **when the ratio of the first to the second is equal to the ratio of the** third to the fourth ; and the terms of the ratios are said to be proportionals. Thus, if - = -, then... | |
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