 If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.  School Algebra - Page 355by John Marvin Colaw - 1903 - 432 pagesFull view - About this book
 | Benjamin Greenleaf - 1863 - 338 pages
...THEOREM II. 316. If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion. Let ad = be. СЕ С Dividing by bd and reducing, ^ — -, or, a : b : : с : d. THEOREM III. 317i... | |
 | Benjamin Greenleaf - Algebra - 1864 - 420 pages
...= — . a 312t If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion. ft £* Let ad = be; dividing by bd, we have - = -r; whence, a : b : : c : d. 31 3. If four quantities... | |
 | Charles Davies - Algebra - 1864 - 316 pages
...If the product of two quantities is. equal to the product of two other quantities, two of them tnay be made the extremes, and the other two the means of a proportion. . 195. If four quantities are proportional, what is the product of the two means equal to ? Thus, if... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...300.^Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion. Let ad—be. Dividing each of these equals by bd, we have EXAMPLES. 1. Given the first three terms... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...magnitudes equal to the product of two other magnitudes, they will constitute a proportion of which either two may be made the extremes and the other two the means. Let the magnitudes B x C = A x D. Dividing both members of the equation by A. x C, we obtain B_I, A~... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For, if we have given ab' = a'b, then, dividing by bb', we obtain - = —• or a : b = a' : b'. bb Corollary.... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For, if we have given 06' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion. Let ad— be. Dividing each of these equals by bd, we have a_ c b~% • EXAMPLES. 1. Given the first... | |
 | Benjamin Greenleaf - 1876 - 332 pages
...THEOREM n. 316i If the product of two quantities befyual to the product of two others, two of them way be made the extremes and the other two the means of a proportion. Let ad = be. Dividing by bd and reducing, =- = ^, or, a : b : : c : d. THEOREM III. /317i If three... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...: If the product of any two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means, of a proportion. Ex. 1. Convert ax = by into a proportion. Ans. a : b ::y : x. 2. Change bm = en into a proportion.... | |
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