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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 Plane and Solid Geometry - Page 129
by Alan Sanders - 1903 - 384 pages
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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 may be read,...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Electronic journals - 1899 - 340 pages
...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." The magnitudes...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...c:d; a:b::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 and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...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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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...called the extremes, and the second and third terms (b and c) are called the means. The first and third terms (a and c) are the antecedents, and the second...
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Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...the equality of ratios. • = - is a proportion, and expresses the fact that the ratio of bd a to 6 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 = -, the first and fourth terms (« and d) 0 Ct are called...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...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 called...
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The First Steps in Algebra

George Albert Wentworth - 1894 - 218 pages
...two equal ratios a : b and c : d may be written in three ways : (1) a : b = c : d (read, the ratio of a to b is equal to the ratio of c to d). (2) a : b : : c : d (read, a is to b as c is to d). tv\ a - c (3) -b~d a and d are the extremes, b...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...written in three different forms ; as, - = -; a:b = c:dy a:b::c:d. 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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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...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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