 | Science - 1873 - 800 pages
...that A is now said to bear a larger ratio to B. But suppose I have to explain what is meant by saying that the ratio of A to B is equal to the ratio of C to D. This conception is much more complex : instead of two different quantities and one relation, there... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...often, with the sign : : between the ratios. Thus, A : B : : X : Y, expresses a proportion, and is read, The ratio of A to B is equal to the ratio of X to Y; or, A is to B as X is to Y. 96. The first and third terms of a proportion are called the Antecedents... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...often, with the sign : : between the ratios. Thus, A : B : : X : Y, expresses a proportion, and is read, The ratio of A to B is equal to the ratio of X to Y; or, A is to B as X is to Y. 96. T^Q first and third terms of a proportion are called the Antecedents;... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...following expressions : bd . , - = -, or, a : о : : c : a. 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 may be... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...sign of equality, : = : ; or a combination of points only, : : : : . Thus, .a : b = c : d, signifies that the ratio of a to b is equal to the ratio of c to d ; and the expression a : b : : c : d signifies the same, and may be read, a is to b as c is to d. 21.... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 338 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. 253. A... | |
 | 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. 24 •... | |
 | Isaac Todhunter - Algebra - 1880 - 348 pages
...then for 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
...ratios. 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... | |
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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. 
