 If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad.  Essentials of Geometry - Page 42by Alfred Hix Welsh - 1883 - 267 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 be made the extremes, and the other two the means of a proportion. 180. If we have three proportional quantities... | |
 | 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 be made the extremes, and the other two the means of a proportion. Thus, if we have 2x8 = 4x4, we also have 2 :... | |
 | 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 made the extremes, and the other two the means of a proportion. Thus, if we have 2x8=4x4, we also have 2 : 4... | |
 | 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 be made the extremes, and the other two the means of a proportion. we have -=^; , BC hence, B 2 =AC; that is, the... | |
 | 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 be made the extremes, and the other two the means of a proportion. 180. If we have three proportional quantities,... | |
 | 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 be made the extremes, and the other two the means of a proportion. Thus, if we have 2x8=4x4, we also have 2 : 4... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...related to each other, that the product of two of them is equal to the product of the other two ; then, two of them may be made the means, and the other two the extremes of a proportion. . Let A, B) C9 and J9, have such values that BxC=AxD Divide both sides of the equation by A9 and we have... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...related to each other, that the product of two of them is equal to the product of the other two ; then, two of them may be made the means, and the other two the extremes of a proportion. Let A, B, C, and D, have such values that BxC=AxD Divide both sides of the equation by A, and we have *XC=D... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...PROPOSITION II. Conversely, If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let be— ad. Dividing each of these equals by ae, we have bc__ad at- ac' or »=<< a c' That is, (Art.... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...PROPOSITION II. — Conversely, If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad. Dividing each of these equals by ac, we have be ad nbd • — — — i vr, — — — . ac... | |
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