 D. 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.  A College Algebra - Page 109by James Morford Taylor - 1889 - 363 pagesFull view - About this book
 | Algebra - 1838 - 372 pages
...have ~T=~r' A. O and hence, A : B : : C : D; that is, if the product of two quantities is equal to the product of two other quantities, two of them may...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
...— =— ; A. L> , and hence, A : B : : C : D. That is : If the product of two quantities is equal to the product of two other quantities, two of them may...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 - 1839 - 264 pages
...=— ; A. Lx and hence, A : B~: : C : D. That is : If the product of two quantities is equal to tJte product of two other quantities, two of them may be...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
...— =— ., jfi O and hence, A : B : : C : D; that is, if the product of two quantities is equal to the product of two other quantities, two of them may...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 - 1845 - 382 pages
...have, — = — , -AO and hence, A : B : : C : D ; that is If the product of two quantities is equal to the product of two other quantities, two of them may...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... | |
 | Charles Davies - Algebra - 1848 - 300 pages
...— =— ; .AL/ and hence, A : B : : C : D. That is .• If the product of two quantities is equal to the product of two other quantities, two of them may...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 - 1859 - 324 pages
...-j = -~ ; А ъ and hence, A : В : : С : D. That is : If the product of two quantities is equal to the product of two other quantities, two of them may...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... | |
 | William E. Bell - Bridges - 1859 - 226 pages
...the second ratio, and the desired result is obtained ; namely, BXC=AXD. Proposition II. Theorem. When the product of two quantities equals the product of two other quantities, then two of them are the means, and the other two the extremes of a proportion. .Numerically. Generally,... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...the product of the extremes. PROPOSITION II. THEOREM. jy the product of two quantities is equal to the product of two other quantities, two of them may be made the means, and the other two the extremes of a proportion. If we have, AD = J?(7, by changing the members... | |
 | Charles Davies - Algebra - 1867 - 326 pages
...and hence, A : Ji : : С : D. That is : If thc product of two quantities is equal to the ¡yroduct of two other quantities, two of them may 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 mcans equal to ? 1 96. If... | |
| |
