| Charles Davies - Algebra - 1875 - 406 pages
...obepⅠoportl０Ⅱ れ Ⅰ 士 06 ・ Ihus @ の ㏄ る ・ 182. Four quantities are in proportion **when the ratio of the first to the second is equal to the ratio of the** third to the fourth. Thus, if み ぱ 一 一 一 一 ' のり ・ theuaHt" q ・ n @ e8 の ， &... | |
| Richard Wormell - 1876
...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 - Geometry - 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...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 is said to be a mean... | |
| James Hamblin Smith, Thomas Kirkland, Scott, William, b. 1845 - 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 between... | |
| 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
...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 - Geometry - 1880 - 452 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...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 is said to be a mean proportional between the other... | |
| Elias Loomis - Geometry - 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 - 412 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... | |
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