 | 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... | |
 | 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.... | |
 | Charles Davies - Trigonometry - 1849 - 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... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...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 D, we write the quantities thus : A : B : : C : D; and read, A is to B, as C to D. The quantities which are compared together are called the... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...relation to each other, they are said to be in proportion. Hemce, proportion is an equality of ratios. To express that the ratio of A to B is equal to the ratio of C to Dj we write the quantities thus : A : B : : C : D; .and read, A is to B, as C to D. The quantities... | |
 | Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...in two ways, Thus, a:b: :c:d Or thus, . . . . a : b = c : d The last is the modern method, and means that the ratio of a to b is equal to the ratio of c to d. If a is taken as the unit of measure between a and b, then - is the numerical ratio between these two... | |
 | Charles Davies - Algebra - 1850 - 292 pages
...C, and Z), 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 10 D When four quantities have this relation to each other, they are said to be in proportion. Hence,... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...When four quantities have this relation1 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 !>, the quantities are usually written thus, A : .B : : C : D, and read, A is to B as C is to D. The... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...equality of ratios. That is, when two ratios are equal, their terms are said to be proportional. Thus, if the ratio of a to b, is equal to the ratio of c to d, that is, if -=-, then a, b, c, d, form a proportion, and we say that a is to ac b as c is to d. 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. 
