| Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...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 - Geometry - 1850 - 236 pages
...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... | |
| Charles Davies - Geometry - 1850 - 218 pages
...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... | |
| 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,... | |
| Joseph Ray - Algebra - 1852 - 410 pages
...an 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... | |
| Charles Davies - Geometry - 1886 - 334 pages
...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... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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 - Geometry - 1854 - 436 pages
...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... | |
| William Scott - Arithmetic - 1854 - 230 pages
...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, and... | |
| Thomas Lund - 1856 - 198 pages
...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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