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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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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...which is read, a is to b as с is to d; or thus, a : Ъ = с : d, which may be read as the other, or, the ratio of a to b is equal to the ratio of с to d. The second method of writing proportion is recommended as the more appropriate. 3 . A Couplet...
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The University Algebra

John Fair Stoddard, William Downs Henkle - Algebra - 1866 - 546 pages
...numbers! Ans. 1, 2, au.:l 4. CHAPTER XVII. PROPORTION. (373>) PROPORTION is an equality of ratios. (374.) If the ratio of a to b is equal to the ratio of c to d, these four terms constitute a proportion which is usually written a : b : : c : d, and is read a is...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 576 pages
...we may say that the ratio of a to b is , . a .a equal to r- , or is r • 372. Hence we may say that the ratio of a to b is equal to the ratio of c to d. when T = -, . oa 373. If the terms of a ratio be multiplied or divided by the tame quantity the ratio...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1866 - 316 pages
...other, compared together two and two, they are said to form a geometrical proportion. To express that the ratio of A to B is equal to the ratio of C to >, we write the quantities thus, A : B :: C : D; and read, A is to B as C to D. The quantities which...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 614 pages
...measured by j ; then for shortness we may say that the ratio of a. to Ъ is 372. Hence we may say that the ratio of a to b is equal to the ratio of с to d. when r = -, . on 373. If the terms of a ratio be multiplied or divided by tfie same quantity...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...: R : : C : D. But, as P and Q are equal, by supposition, they have the same ratio to R ; that is, the ratio of A to B is equal to the ratio of C to D, or A : B : : C : D. QED Corol. 1. When the two means, namely, the second and third terms, are equal,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 338 pages
...often, with the sign : : between the ratios. Thus, A : B : : X : Y, expresses a proportion, and is read, The ratio of A to B is equal to the ratio of X to Y ; or, A is to B as X is to Y. 127. The first and third terms of a proportion are called the...
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The Popular Science Monthly, Volume 2

Science - 1873 - 800 pages
...is now said to bear a larger ratio to B. But suppose I have to explain what is meant by saying that the ratio of A to B is equal to the ratio of C to D. This conception is much more complex : instead of two different quantities and one relation, there...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...often, with the sign : : between the ratios. Thus, A : B : : X : Y, expresses a proportion, and is read, The ratio of A to B is equal to the ratio of X to Y; or, A is to B as X is to Y. 96. The first and third terms of a proportion are called the Antecedents...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...often, with the sign : : between the ratios. Thus, A : B : : X : Y, expresses a proportion, and is read, The ratio of A to B is equal to the ratio of X to Y; or, A is to B as X is to Y. 96. T^Q first and third terms of a proportion are called the Antecedents;...
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