 | Homersham Cox (the younger) - 1885 - 248 páginas
...to the number which expresses A in terms of C, or in other words the ratio of B to C multiplied by the ratio of A to B is equal to the ratio of A to C. In order to establish the properties of multiplication we require the two following theorems.... | |
 | Webster Wells - 1885 - 372 páginas
...: b, 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 ma\' be written in either of the forms : а с a:b — с: d,... | |
 | Webster Wells - 1885 - 370 páginas
...: 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... | |
 | George Chrystal - 1886 - 572 páginas
...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,... | |
 | Isaac Todhunter - 1887 - 378 páginas
...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... | |
 | George Albert Wentworth - 1887 - 272 páginas
...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 páginas
...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,... | |
 | Webster Wells - 1889 - 584 páginas
...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 - 1890 - 560 páginas
...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 - 1890 - 512 páginas
...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,... | |
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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. 
