 | 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
...proportion. And in general, if there be four quantities, A, B, C, and D, having such values that BD 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 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 - 1848 - 300 pages
...ratio of A to B is equal to the ratio of C to D. When four quantities have this relation to each othtr, they are said to be in proportion. Hence, proportion...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... | |
 | 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... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...C, and D, having such values that —is equal to—, then A is said to have the same ratio AC K 1) to B, that C has to D, or the ratio of A to B is equal...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... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...there be four quantities, A, B, C, and D, having such values that BD "A=C' Of Ratios and Pro port iona. four quantities have this relation to each other,...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... | |
 | 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... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...general, if there be four quantities, A, B, C, and D, having such values that Of Ratios an cl Proportions. four quantities have this 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... | |
 | 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,... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...has to D, or- the ratio nf A to B is equal to the ratio of C to D When \ Of Rat1os and Proport1ons. four quantities have this relation to each other, they are said to be in proportion. Hence, the proportion of four quantities results from an equality of their ratios taken two and two . To express... | |
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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. 
