 If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion.  New Plane Geometry - Page 162by Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 pagesFull view - About this book
 | Charles Davies - Geometry - 1850 - 238 pages
...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... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...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... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...— 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, — — —... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...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.... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...other, that the product of ttfo of them is equal to the product of the other two ; thm t1ro 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 Div1de both sides of the equation by A and we havo... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...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 proportionLet A, B, C, and D, have such values that BxC=AxD Divide both sides of the equation by A,... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...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 of the equation, we have, BC = AD-, dividing both members... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...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 bc__ad ac ac' or *_=!* ac That is, (Art. 263),... | |
 | Joseph Ray - Algebra - 1866 - 252 pages
...— 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 6c=ad. Dividing each of these equals by ac, we have be ad bd — = — ; or. - =— . ac ac ' a... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...Conversely, If the product of two quantities is equal to the product of two others, two of them may le made the means, and the other two the extremes of a proportion. Let be— ad. Dividing each of these equals by ac, we have be _ad b _d ac ac' ' a o' That is, a : b... | |
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