 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
 | Algebra - 1838 - 372 pages
...that is, 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. 180. If we have three proportional quantities A : B : : B : C, 1 ^ C wehave _=_; hence, &=AC; that... | |
 | Charles Davies - Algebra - 1839 - 272 pages
...is : 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. Thus, if we have 2x8 = 4x4, we also have 2 : 4 : : 4 : 8. 1 56. If we have three proportional quantities... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...that is, 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. we have -=^; , BC hence, B 2 =AC; that is, the square of the middle term is equal to the product of... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...is : If the product of two quantities is equal to the product of two other quantities, two of tJiem may be made the extremes, and the other two the means of a proportion. Thus, if we have 2x8=4x4, we also have 2 : 4 : : 4 : 8. 1 56. If we have three proportional quantities... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...that is 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. 180. If we have three proportional quantities, A : B : : B : C, , BC we have - = -; hence, 53 = AC... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...Conversely, if the product of two quantities is equal to the product of two others, the first two quantities may be made the extremes, and the other two the means of a proportion. Let ad = !"<:. Dividing these equals by bd, the expression becomes that is, a : b : : c : d, or c :... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...Conversely, if the product of two quantities is equal to the product of two others, the first two quantities may be made the extremes, and the other 'two the means of a proportion. Let ad = 6c. Dividing these equals by bd, the expression becomes that is, a : b : : с : d, or с :... | |
 | Alpheus Crosby - Geometry - 1847 - 190 pages
...two quantities be equal to the product of two other quantities, two of them " (any two, of course) " may be made the extremes, and the other two the means, of a proportion " ; eg 4 X 8 = 2 X 16 ; then, making 4 and 2 the extremes, we have 4 : 8 = 16 : 2 ; or, as the product... | |
 | Stephen Chase - Geometry - 1847 - 28 pages
...two quantities be equal to the product of two other quantities, two of them " (any two, of course) " may be made the extremes, and the other two the means, of a proportion " ; eg 4 X 8 = 2 x 16 ; then, making 4 and 2 the extremes, we have 4 : 8 = 16 : 2 ; or, as the product... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...is : 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. Thus, if we have 2x8=4x4, we also have 2 : 4 : : 4 : 8. 1 56. If we have three proportional quantities... | |
| |
