 | Charles Davies - Algebra - 1839 - 264 pages
...and D, having 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 - 1842 - 368 pages
...D. When four quantities have this relation to each other, they are 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 I), 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
...having such values that S. D A~ 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
...8x2:4x2=2; 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,... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...having such values that 2--RA ~ 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... | |
 | Nathan Scholfield - 1845 - 894 pages
...other, they are said to be in proportion. Proportion, then, is an equality of ratios. 9. To indicate that the ratio of A to B is equal to the ratio of O to D, the quantities are usually written thus, A : 1»: : C : D, and read. A is to B as C to D ;... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...Q : R : : C : D. But as P 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 : DQED Corol. 1. When the two means, namely, the second and third terms, are equal,... | |
 | Algebra - 1847 - 386 pages
...D. When four quantities have this relation to each other, they are said to be in proportion. Hence, proportion is an equality of ratios. To express that the ratio of A to В is equal to the ratio of С to D, we write the quantities thus, A : В : : С : D, and read, A is... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...and D, having 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... | |
 | Algebra - 1848 - 394 pages
...having such values that B _D_ 1~ C' then A is said to have the same ratio to B, that С has to D ; or, the ratio of A to B is equal to the ratio of С to D. When four quantities have this relation to each other, they are said to he in proportion.... | |
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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. 
