 | C. Davies - 1867 - 342 pages
...quantities results from an equality of their ratios taken two and twoTo express that the ratio of A to £ 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 DThe quantities which are compared together are called the terms... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...: R : : C : D. But, as P and Q are equal, by supposition, they have the same ratio to R ; that is, the ratio of A to B is equal to the ratio of C to D, or A : B : : C : D. QED Corol. 1. When the two means, namely, the second and third terms, are equal,... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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. 127. The first and third terms of a proportion are called the... | |
 | 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... | |
 | Charles Davies - Algebra - 1875 - 318 pages
...form a geometrical proportion. To express that the ratio of A to ~B is equal to the ratio of G to J9, we write the quantities thus, A : B :: G : D\ and read, A is to B as G to D. The quantities which are compared, the one with the other, are called terms of the proportion.... | |
 | 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... | |
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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. 
