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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. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 242
by Thomas Malton - 1774 - 440 pages
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New School Algebra

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...
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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...
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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....
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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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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...
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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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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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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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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...ac a:b = c:d; a:o ::c:d; - = — • 0 CL 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...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...proportion may be written in three different forms ; as, - = -; a:b=c:d; a:b::c:d. bd Each form is read, " the ratio of a to b is equal to the ratio of c to d ; " or, more briefly, " a is to b as c is to d." 319 The terms of a proportion are the four quantities...
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