| Charles Davies - Algebra - 1857 - 408 pages
...undergo changes of value, then a is said to be proportional to 6. 183i 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 b_ d_ ~^~~' the quantities a, b, c and d, are said to be in proportion.... | |
| Elias Loomis - Conic sections - 1858 - 234 pages
...quantities, the last is called a fourth proportional to the other three, taken in order. Since A=C, **BD it is obvious that if A is greater than B, C must...: : B : C. In this case the middle term is said to** be a mean proportional between the other two. Def. 4. Two magnitudes are said to be equimultiples ol... | |
| John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...called the antecedent, and the second term the consequent . (379.) Three quantities are in proportion **when the ratio of the first to the second is equal to the ratio of the second to the third.** (38O.) The second quantity is called a mean proportional between the other two, and the third quantity... | |
| James B. Dodd - Arithmetic - 1859 - 370 pages
...PROPORTION. (141.) PROPORTION consists in an equality of ratios. 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 the numbers 6, 3, 8, 4 are in proportion, since — » —IThe first and... | |
| James B. Dodd - Algebra - 1859 - 306 pages
...respective consequents — but is usually confined to four terms. (137.) 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 ; that is, when the first divided by the second is equal to the third divided by... | |
| Charles Davies - Algebra - 1860 - 414 pages
...changes of value, then a is said to be proportional to b. • 183i 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 the quantities a, 6, c and d, are said to be in propoition. We generally... | |
| Henry G C. Smith - 1863
...16:8. The first term, 16, is called the Antecedent, and the second, 8, the Consequent. Pour numbers **are said to be Proportional when the ratio of the first to the second is equal to the ratio of the** third to the fourth. On examining the four numbers, 14, 8, 35, 20, we find V = i5, or 14 : 8 = 85 :... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...to 6 is | or § ; that of 6 to 4 is £ or |, &c. 79. Proportion is an equality of ratios. Thus, 80. **Three quantities are said to be proportional when...is equal to the ratio of the second to the third.** As of the three quantities A (2), B (4), C (8), where f =•§• =-|, both the same ratio. 81. Four... | |
| 1872
...8. 15. On comparing Def. 3 with Def. 1, it will be seen that when four quantities are in proportion, **the ratio of the first to the second is equal to the ratio of the** third to the fourth. Hence we may denote a proportion thus — 3:4 = 6:8 which is read — the ratio... | |
| William Frothingham Bradbury - Algebra - 1868 - 264 pages
...ie — j- •; = -, or 6 : a. ao 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... | |
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