 | George Albert Wentworth - 1883 - 536 pages
...the ratios a : b and с : d form a proportion, the proportion is written , -, rra : о = с : a (read the ratio of a to b is equal to the ratio of с to d) or a : b : : с : d (read a is to b in the same ratio as с is to d). The first and last terms,... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...PROPORTION is an expression of equality between two equal ratios. Thus, B b A : C ' expresses the fact that the ratio of A to B is equal to the ratio of C to D. In (reometry, the proportion is written thus. A : B : : C : D, and read, A is to B, as C is to D. 3.... | |
 | Homersham Cox (the younger) - 1885 - 248 pages
...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 - Algebra - 1885 - 372 pages
...: 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 - Algebra - 1885 - 370 pages
...: 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 - 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
...then 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,... | |
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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. 
