 | William Guy Peck - Algebra - 1875 - 348 pages
...following expressions: bd , - = - , or, a : b :: r, : d. ac Either of these expressions indicates that the ratio of a to b is equal to the ratio of c to d. The former may be read a is contained in b as many times as c is contained in d; the latter... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...expression of equality between two ratios. A proportion may be written in either of two ways. Thus, if the ratio of a to b is equal to the ratio of c to d, the equality may be indicated by either of the folio wing expressions : — = -, or a :t::e:d;... | |
 | Horatio Nelson Robinson - Algebra - 1879 - 332 pages
...thus, a : b : : c : d, which is read, a is to b, as c is to d ; or thus, a : b = c : d, which is read, the ratio of a to b is equal to the ratio of c to d. NOTE. — The second is the modern method, and more fitly expresses the nature of proportion.... | |
 | 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 the... | |
 | 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... | |
 | 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,... | |
 | 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... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...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... | |
 | 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, a and... | |
 | 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 = с : а,... | |
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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. 
