 | John Fair Stoddard, William Downs Henkle - 1859 - 538 σελίδες
...unphilosophical but is not consistent with the symbol used to express ratio. Thus, a:b = c:da read the ratio of a to b equals the ratio of c to d. Now, the symbol : is a sign of division, and is generally used as such by the Germans in preference... | |
 | Joseph Ray - 1866 - 250 σελίδες
...of equality ; thus, a : b = c : d . The first is read, a is to b as c is to d; the second is read, the ratio of a to b equals the ratio of c to d. From the preceding definition, it follows, that when four quantities are in proportion, the second... | |
 | Edward Brooks - 1868 - 284 σελίδες
...: B, denotes the ratio of AtoB. The Sign of Equal Ratios, : : ; thus, A : B : : C: D, denotes that the ratio of A to B equals the ratio of C to D. We present also a few combinations of these symbols, called formulas, which will be found valuable... | |
 | Herbert Spencer - 1873 - 528 σελίδες
...is now said to bear a larger ratio to B. But suppose I have to explain what is meant by Baying that the ratio of A to B, equals the ratio of C to D. Instead of two different quantities and one relation, there are now four different quantities and three... | |
 | 1873 - 966 σελίδες
...is now said to bear a larger ratio to B. But suppose I have to explain what is meant by saying that the ratio of A to B, equals the ratio of C to D. This conception is much more complex : instead of two different quantities and one relation, there... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...: : c : d 2. a : I = c : d 3 a — c b ~ d' Form 1 is read, a is to 6 as c is to d. Form 2 is read, the ratio of a to b equals the ratio of c to d. Form 3 is read, a divided by b equals c divided by d. The Terms of a proportion are the four quantities... | |
 | Elias Loomis - 1877 - 458 σελίδες
...the ratio jr-is equal to the ratio ^-, the equality A=C B~D constitutes a proportion. It may be read, the ratio of A to B equals the ratio of C to D ; or A is to B as C to D. A proportion is often written A:B=C:D, or, A:B::C:D, where the notation A:B... | |
 | Edward Olney - 1878 - 516 σελίδες
...sign, of equality between ratios. Thus, a :b : : c : d, read, " a is to b as c is to d," means that the ratio of a to b equals the ratio of c to d, and may just as well be written a :b = c : d, or - = -, all of which expressions mean exactly the sam<i... | |
 | Herbert Spencer - 1881 - 486 σελίδες
...is now said to bear a larger ratio to B. But suppose I have to explain what is meant by saying that the ratio of A to B, equals the ratio of C to D. Instead of two different quantities and one relation, there are now four different quantities and three... | |
 | Edward Olney - 1881 - 506 σελίδες
..., is the sign of equality between ratios. Thus, a:b::c:d, read, "a is to b as c is to d" means that the ratio of a to b equals the ratio of c to d, and may just as well be written a:b = c:d, CL f or v = , all of which expressions mean exactly the... | |
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It is read the ratio of a to b equals the ratio of c to d, or briefly, a is to b as c is to d. 
