 | 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 - 256 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 - 368 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 - 368 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 - 412 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 - 200 pages
...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 - 398 pages
...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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Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. 
