 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...measured quantity ; hence, the measure of proportion is ratio. 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 ; this relation is expressed algebraically thus, a : b :: с : d. This expression... | |
 | 1855 - 424 pages
...the first divided by the second is equal to the third divided by the fourth — in other words, when the ratio of the first to the second is equal to the ratio of the third to the fourth, the four are said to be in direct proportion. From this definition it will be... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...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
...consequent ; if equal, equal ; and if less, less. Def. 3. 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 ; thus, if A, B, and C are in proportion, then A : B : : B : C. In this case the middle term is said... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...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 - Algebra - 1859 - 368 pages
...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... | |
 | 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... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...changes of value, then a is said to be proportional to b. 183t 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_ "7 ~ T' the quantities a, b, c and d, are said to be in propoition.... | |
 | Henry G C. Smith - 1863 - 200 pages
...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
...79. Proportion is an equality of ratios. Thus, 80. 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. As of the three quantities A (2), B (4), C (8), where f =•§• =-|, both the same ratio. 81. Four... | |
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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. 
