| 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, • - =... | |
| 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,... | |
| 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 :... | |
| 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... | |
| James Morford Taylor - Algebra - 1893 - 358 pages
...incommensurable ratio. 214. Proportion. Four numbers, a, b, c, d, are said to be in proportion, when the ratio of a to b is equal to the ratio of с to d. The proportion is written in the form - = -, a : 6 = с : d, or a : b : : с : d, and is read... | |
| John Macnie - Geometry - 1895 - 386 pages
...Thus A (1 each of the equalities A : B = C : D, — = —, expresses a proportion that may be read, the ratio of A to B is equal to the ratio of C to D ; or more briefly, A is to B as C is to D. 229. The first and fourth terms of a proportion are called... | |
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