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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. "
Manual of Geometry and Conic Sections: With Applications to Trigonometry and ... - Page 70
by William Guy Peck - 1876 - 366 pages
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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 = -, the...
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Academic Algebra

William James Milne - Algebra - 1901 - 464 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 = -, the...
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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 - 431 pages
...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 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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The First Steps in Algebra

George Albert Wentworth - 1894 - 218 pages
...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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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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Elementary Algebra

George Albert Wentworth - Algebra - 1906 - 440 pages
...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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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...ft. is '8 ; find a. 22. The ratio of 3 sq. ft. to x sq. inches is 1 '2 ; find x. 283. Proportion. — If the ratio of A to B is equal to the ratio of C to D, the four quantities A, B, C, D are called proportionals or are said to be in proportion. The statement...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 338 pages
...POLYGONS DEFINITIONS 210. A Proportion is a statement that two ratios are equal. 211. The statement that the ratio of a to b is equal to the ratio of c to d is written a_ b~d 212. In the proportion - = -, we call a the first term, b the 0 Ct second term,...
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