 | Webster Wells - Geometry - 1898 - 284 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 TT ac a:b = c:d, or - = — bd 229. The first and fourth terms... | |
 | 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... | |
 | 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... | |
 | George Albert Wentworth - Algebra - 1898 - 516 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... | |
 | Edinburgh Mathematical Society - Electronic journals - 1899 - 340 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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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.... | |
 | George Albert Wentworth - Geometry, Modern - 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... | |
 | George Albert Wentworth - Geometry - 1899 - 498 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... | |
 | 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... | |
 | 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... | |
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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. 
