 | Isaac Todhunter - Algebra - 1880 - 348 pages
...shortness we may say that the ratio of a to 6 is equal to т or is г . 349. Hence we may say that the ratio of a to b is equal to the ratio of с to d. when г = з • о а 350. ff the terms of a ratio be multiplied or divided by the same quantity... | |
 | Webster Wells - Algebra - 1880 - 498 pages
...Thus, a : b, or - , indicates the ratio of a to b. o a : b = c : d, is a proportion. indicating that the ratio of a to b, is equal to the ratio of e to d, In a proportion the relation of the terms is such that the product of the first and fourth... | |
 | Charles Scott Venable - 1881 - 380 pages
...antecedent of the ratio, and for its denominator the consequent of the ratio. 3. Hence, we may say that the ratio of a to b is equal to the ratio of c to d. when - = - . bd 4. If the terms of a ratio be multiplied or divided by the same quantity, the ratio is not... | |
 | George Albert Wentworth - Algebra - 1881 - 400 pages
...the ratios a : b and c : d form a proportion, the proportion is written , _ , a . o — c '. ct (read the ratio of a to b is equal to the ratio of c to d) or a : b : : c : d (read a is to b in the same ratio as c is to d). The first and last terms, a and... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...double colon placed between the two couplets, thus: a : b :: c : d. This is read, a is to 6 as c is to d; or, the ratio of a to b is equal to the ratio of c to d. Of the four terms compared, the first and ihird are the Antecedents, and the second and fourth are... | |
 | George Albert Wentworth - 1883 - 536 pages
...the ratios a : b and с : d form a proportion, the proportion is written , -, rra : о = с : a (read the ratio of a to b is equal to the ratio of с to d) or a : b : : с : d (read a is to b in the same ratio as с is to d). The first and last terms,... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...PROPORTION is an expression of equality between two equal ratios. Thus, B b A : C ' expresses the fact that the ratio of A to B is equal to the ratio of C to D. In (reometry, the proportion is written thus. A : B : : C : D, and read, A is to B, as C is to D. 3.... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...: 6, a is the antecedent and b the consequent. 289. A Proportion is an equality of ratios. Thus, if the ratio of a to b is equal to the ratio of с to d, they form a proportion, which may be written in either of the forms : / j а с , , a : b... | |
 | Homersham Cox (the younger) - 1885 - 248 pages
...to the number which expresses A in terms of C, or in other words the ratio of B to C multiplied by the ratio of A to B is equal to the ratio of A to C. In order to establish the properties of multiplication we require the two following theorems.... | |
 | Webster Wells - Algebra - 1885 - 372 pages
...: b, a is the antecedent and b the consequent. 289. A Proportion is an equality of ratios. Thus, if the ratio of a to b is equal to the ratio of с to d, they form a proportion, which ma\' be written in either of the forms : а с a:b — с: d,... | |
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To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D. 
