 | Charles Hutton - Mathematics - 1811 - 406 pages
...: D. But as p and o^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. o^ ED Corol. 1. When the two means, namely, the second and third terms, are equal,... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...: D. But as r 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. q E. o. Carol. \ . When the two means, namely, the second and third terms, are... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...D. But as t and <j 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 : DQEI). Carol. 1. When the two means, namely, the second and third terms, are equal,... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...—is equal to—,, then A is said to have the same ratio AC to B, th.it C has to D, or the ratio of A to B is equal to the ratio of C 'to D. When four quantities have this relation to .each other, they are said to be in proportion. To indicate... | |
 | William Whewell - 1837 - 226 pages
...relation of quantities in respect of proportion, so that if a, b, c, d be proportional, the ratio of a to b is equal to the ratio of c to d. *LEMMA 1. If magnitudes be proportionals according to the algebraical definition of proportion, they... | |
 | Algebra - 1838 - 372 pages
...such values that BD then A is said to have the same ratio to B, that C has to D ; or, the ratio of A to B is equal to the ratio of C to D. When four quantities have this relation to each other, they are said to be in proportion. Hence, proportion... | |
 | Charles Davies - Algebra - 1839 - 264 pages
...said to be in proportion. Hence, proportion is an equality of ratios. 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. The quantities which... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...said to be in proportion. Hence, proportion is an equality of ratios. 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. The quantities which... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...values that B _D 1~C' then A is said to have the same ratio to B, that C has to D; or, the ratio of A to B is equal to the ratio of C to D. When four quantities have this relation to each other, they are said to be in proportion. Hence, proportion... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...And the ratio of 8n-2 : 4-^-2=2. 1 1 . PROPORTION is an equality of ratios. Thus, if th« ratio of A to B is equal to the ratio of C to D ; ie, if A_C B~D' the four magnitudes A, B, C, D, form a proportion. So the numbers, 1*2, 4, 6, 2,... | |
| |
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. 
