| Algebra - 1838 - 372 pages
...expressed by _ A' 169. If there be four magnitudes, A, B, C, and D, having such values that BD then A is said to have the same ratio to B, that C has...the ratio of A to B is equal to the ratio of C to 1), we write the quantities thus, A : B : : C : D. and read, A is to B, as C to D. The quantities which... | |
| Adrien Marie Legendre - Geometry - 1838 - 372 pages
...When four quantities have this relation to each other, they are said to be in proportion. To indicate that the ratio of A to B is equal to the ratio of C to D, the quantities are usually written thus, A : B : : C : D, and read, A is to B as C is to D. The quantities... | |
| Algebra - 1839 - 368 pages
...expressed by B T 169. If there be four magnitudes, A, B, C, and D, having such values that B -R. A~C' then A is said to have the same ratio to B, that C has...to each other, they are said to be in proportion. IJence, proportion is an equality of ratios. To express that the ratio of A to B is equal to the ratio... | |
| Charles Davies - Algebra - 1842 - 368 pages
...expressed by B_ A' 169. If there be four magnitudes, A, B, C, and D, having such values that B _D 1~C' then A is said to have the same ratio to B, that C has...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... | |
| Nathan Scholfield - 1845 - 894 pages
...have such values that "RT) - is equal to -, then A is said to have the same ratio to B A \j that C has to D. When four quantities have this relation to each 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... | |
| 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... | |
| Algebra - 1847 - 386 pages
...to have the same ratio to B, that С has to D\ or, the ratio of A to В is equal to the ratio of С to D. When four quantities have this relation to each...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 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 - 1848 - 394 pages
...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. Hence, proportion is an equality of ratios. To express that the ratio of A to B is... | |
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