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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. "
An Academic Algebra - Page 224
by James Morford Taylor - 1893 - 338 pages
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Essentials of Algebra: Complete Course (an Adequate Preparation for the ...

John Charles Stone, James Franklin Millis - Algebra - 1905 - 776 pages
...incommensurable . The ratio between two incommensurable numbers is called an incommensurable ratio. are said to be in proportion when the ratio of a to о equals the ratio of с to d. The most used forms in which the proportion may be written are a :...
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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 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 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...
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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...
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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,...
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Standard Algebra

William James Milne - Algebra - 1908 - 476 pages
...lines that form the sign of equality. The proportion a : b = с : d, or a : b : : с : d, is read, ' the ratio of a to b is equal to the ratio of с to d,' or 'a is to b as с is to d.' 473. In a proportion, the first and fourth terms are called the extremes,...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...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...
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New Plane Geometry

Webster Wells - Geometry, Plane - 1908 - 208 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 Cd second...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 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...
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School Algebra

James William Nicholson - Algebra - 1909 - 332 pages
...equation whose members are ratios. Thus, о : 6 = с : d, or - = li a is a proportion, which is read, the ratio of a to b is equal to the ratio of с to d. The same proportion is sometimes written a:b::c:>l, which is read, a is to 6 as с is to d. The extremes...
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