 | 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... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...quantities of the same kind, the ratio of A to B is expressed by B T 169. If there be four magnitudes, A, B, C, and D, having such values that , BD then...the ratio of C to D, we write the quantities thus, A t B : : C : D. and read, A is to B, as C to D. The quantities which are compared together are called... | |
 | 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...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... | |
 | Alexander Ingram - 1844 - 262 pages
...proportionals for T3Z = £, and T4B = £. This equality of ratios is expressed by writing the four quantities, thus a: b:: c: d, and read a is to b as c is to d. In Algebraic investigations the quantities are generally expressed like fractions, thus T... | |
 | 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,... | |
 | 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... | |
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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. 
