 | George Chrystal - Algebra - 1886 - 572 pages
...of the same kind as A and B), whose ratio is c:d, then A, B, C, D are said to be proportional when the ratio of A to B is equal to the ratio of C to D, that is, when a:b = c\d. We may speak of the ratio A : B, of the concrete magnitudes themselves, and... | |
 | Isaac Todhunter - Algebra - 1887 - 378 pages
...for shortness we may say that the ratio of a to b is equal to y or is r . 349. Hence we may say that the ratio of a to b is equal to the ratio of c to d, when r = 3 • bd 350. If the terms of a ratio be multiplied or divided by t/ie same quantity the ratio... | |
 | George Albert Wentworth - Algebra - 1887 - 268 pages
...285. If the ratios a : b and c : d form a proportion, the proportion is written a : b = c : d (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 d, are... | |
 | George Albert Wentworth - Algebra - 1887 - 272 pages
...in proportion. 285. If the ratios a : b and c : d form a proportion, the proportion is written (read the ratio of a to b is equal to the ratio of c to cZ) , 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... | |
 | George Albert Wentworth - 1888 - 268 pages
...If the ratios a : Ъ and с : d form a proportion, the proportion is written a : Ъ = с : d (read the ratio of a to b is equal to the ratio of с to d) , or a:b::c:d (read я is to 6 in the same ratio as с is to d). The first and last terms,... | |
 | Charles Davies - Algebra - 1889 - 330 pages
...equality between two equal ratios. Thus, b ^ d a c' is n proportion, expressing the fact that the ratio ol a to b is equal to the ratio of c to d. This proportion may also be written thus, a : b : : c : d. In either case, the proportion is read,... | |
 | Webster Wells - Algebra - 1889 - 584 pages
...a to b is - ; and it is also expressed a : b. 305. 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 : a: & = c:d, • - =... | |
 | Webster Wells - Algebra - 1890 - 560 pages
...of a to b is -; and it is also expressed a: b. 377. A Proportion is an equality of ratios. Thus, if the ratio of a to b is equal to the ratio of c to d, they form a proportion, which may be written in either of the forms : a:b = c:d, - = -, or a : b :... | |
 | Walter William Rouse Ball - Mathematics - 1890 - 512 pages
...proportion is equal to the product of the means. For if a, b, c, d be in proportion, then, by definition, the ratio of a to b is equal to the ratio of c to d. That is, a _ c b~d" Multiply each side by bd, .'. ad = be. 300. Conversely, if four quantities a, b,... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...number to the first number. It A, B be two magnitudes such that »» times A is equal to n times It, the ratio of A to B is equal to the ratio of n to HI. Similarly, if m times A be greater than n times /.', the ratio of A to B is greater than that... | |
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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. 
