 | Charles Davies - 1850 - 238 σελίδες
...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... | |
 | Horatio Nelson Robinson - 1850 - 256 σελίδες
...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 - 1850 - 292 σελίδες
...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,... | |
 | Joseph Ray - 1852 - 408 σελίδες
...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.... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...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... | |
 | Charles Davies - 1886 - 340 σελίδες
...proportion of four quantities results from an equality of their ratios taken two and two . 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 :: G : D ; and read, A is to B, as C to D. The quantities which... | |
 | Charles Davies - 1854 - 436 σελίδες
...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... | |
 | William Scott - 1854 - 232 σελίδες
...following forms : — oc ~i=j, a -• b=*c : d; a : b :: c : d, and expressed in words as follows : The ratio of a to b is equal to the ratio of c to d ; or a is to b as c is to d. c. The first and third terms of a proportion are named Antecedents,... | |
 | George Roberts Perkins - 1856 - 460 σελίδες
...incommensurable magnitudes A and B are proportional to two other incommensurable magnitudes A' and B', or that the ratio of A to B is equal to the ratio of A' to B', when we obtain for each the same numerical ratio at each successive step of the approximation.... | |
 | Thomas Lund - 1856 - 198 σελίδες
...Ratio of a to b'; hence a : b =т - Similarly с : d = -j- Therefore if т = -jj я : b — c : d, or the Ratio of a to b is equal to the Ratio of с to d. This equality of two Ratios constitutes what is called a ' PROPORTION'. It is usually written... | |
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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. 
