 | Isaac Todhunter - Algebra - 1866 - 580 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... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1866 - 546 pages
...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... | |
 | Isaac Todhunter - Algebra - 1866 - 618 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... | |
 | 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,... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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... | |
 | 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... | |
 | 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... | |
 | 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;... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...which is read, a is to b as c is to d; or thus, a : b = c : d, which may be read as the other, or, the ratio of a to b is equal to the ratio of c to d. The second method of writing proportion is recommended as the more appropriate. 321. A Co^^plet... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 338 pages
...thus, a :,b : : c : d, which is read, a is to b, as c is to d ; or thus, a : b = c : d, which is read, the ratio of a to b is equal to the ratio of c to d. NOTE.— The second is the modern method, and more fitly expresses the nature of proportion. 253.... | |
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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. 
