| James Howard Gore - Geometry - 1898 - 232 pages
...AND PROPORTION. SIMILAR FIGURES. DEFINITIONS. 197. A Proportion is an equality of ratios. That is, **if the ratio of a to b is equal to the ratio of c to d,** they form a proportion, which may be written a:b — c:d, or - = -, or a:b::c:d, ba and is read a is... | |
| Cambridge Philosophical Society - Science - 1898 - 364 pages
...the measure of the ratio of A to B is the same as the measure of the ratio of C to D, and therefore **the ratio of A to B is equal to the ratio of C to D.** Hence any of the preceding propositions in which it has been proved that the scale of A, B is the same... | |
| Webster Wells - Geometry - 1898 - 250 pages
...POLYGONS. DEFINITIONS. 227. A Proportion is a statement that two ratios are equal. 228. The statement that **the ratio of a to b is equal to the ratio of c to d,** may be written in either of the forms a:b = c:d. or - = -- bd 229. The first and fourth terms of a... | |
| George Albert Wentworth - Algebra - 1898 - 520 pages
...334. If the ratios a : b and с : d form a proportion, the proportion is written a : b = с : d (read **the ratio of a to b is equal to the ratio of** с to d), or a : b : : с : d (read a is to b in the same ratio as с is to d). The first and last... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...of equality between two ratios is called a proportion, and the four terms are called proportionals. **If the ratio of a to b is equal to the ratio of c to d, the** proportion may be expressed in either of the following forms : - = -, a:b = c:d, or a:b::c:d. bd They... | |
| Edinburgh Mathematical Society - Electronic journals - 1899 - 342 pages
...A and B, the four magnitudes A, B, C, D are defined to be proportionals or to be in proportion when **the ratio of A to B is equal to the ratio of C to D The** proportion is often expressed by the notation A:B = C:D * or, in words, " A is to B as C is to D."... | |
| George Albert Wentworth - Geometry, Plane - 1899 - 272 pages
...: ij , jac a:o = c:d; a:b::c:d; T=3' oa This proportion is read, " a is to b as c is to d " ; or " **the ratio of a to b is equal to the ratio of c to d."** 324. The terms of a proportion are the four quantities compared ; the first and third terms are called... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...ac a:o = c:a: a:o ::c:d; — = — • ba This proportion is read, " a is to b as c is to d " ; or " **the ratio of a to b is equal to the ratio of c to d."** 324. The terms of a proportion are the four quantities compared ; the first and third terms are called... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...: a:b = c:d; a:b::c:d; — = — • od This proportion is read, " a is to b as c is to d " ; or " **the ratio of a to b is equal to the ratio of** e to d." 324. The terms of a proportion are the four quantities compared ; the first and third terms... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...: a:J = c:<2; a:b::e:d; — = — • oa This proportion is read, " a is to b as c is to d "; or " **the ratio of a to b is equal to the ratio of** e to d." 324. The terms of a proportion are the four quantities compared ; the first and third terms... | |
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