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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: Plane and Solid - Page 113
by John Macnie - 1895 - 374 pages
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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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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 190 pages
...most modern editions of Euclid : — A :B :: C : D, which is read : the ratio of A to B is the same as the ratio of C to D, or more briefly, A is to B as C to D. * Prop. 14 is a particular case of this. + In the case where A and B have a common measure the...
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Academic Algebra

William James Milne - Algebra - 1901 - 462 pages
...of the 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 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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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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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 called...
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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...d ; " or, more briefly, " a is to b as c is to d." 319 The terms of a proportion are the four quantities compared. 320 The extremes of a proportion are...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...A proportion may be 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...d ; " or, more briefly, " a is to b as c is to d." 319 The terms of a proportion are the four quantities compared. 320 The extremes of a proportion are...
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The First Steps in Algebra

George Albert Wentworth - 1894 - 218 pages
...proportion formed by 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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Elementary Algebra

George Albert Wentworth - Algebra - 1906 - 440 pages
...d. 376. If the ratios ct : 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::c:d (read a is to b in the same ratio as с is to d). The four numbers a, b, c, d...
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