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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. "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Page 70
by Charles Davies - 1886 - 324 pages
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New School Algebra

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...
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Plane Geometry

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 called...
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Proceedings of the Edinburgh Mathematical Society

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...
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The Elements of Plane Geometry

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. bd...
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Plane and Solid Geometry

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 called...
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Plane Geometry

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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Plane and Solid Geometry

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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Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...proportion is the equality of ratios. " = - is a proportion, and expresses the fact that the ratio of bd a to b is equal to the ratio of c to d. The proportion - = may also be written a : b = c : d and a : b : : c : d. In the proportion a = -,...
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Academic Algebra

William James Milne - Algebra - 1901 - 462 pages
...lines that form the sign of equality. The proportion a : b = с : d, or о : b : : с : d, is read, the ratio of a to b is equal to the ratio of с to d, or a is to & as с is to d. 322. The antecedents and consequents of the ratios that form a...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 392 pages
...proportion is the equality of ratios. = - is a proportion, and expresses the fact that the ratio of 6 d a to b is equal to the ratio of c to d. The proportion - = may also be written a : b = c : d and a : b : : c : d. ' " In the proportion = -,...
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