 | Charles Davies - Algebra - 1864 - 316 pages
...that AXD = В X <7, we shall also have, —¡ = -~ ; А. С 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 tnay be made the extremes, and the other two the means of a proportion. . 195. If four quantities are... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...mean proportional of two quantities is the square root of their product. * 18. Proposition — When the product of two quantities is equal to the product of two others, either two may be the extremes and the other two the means of a proportion. Let aXd = bXc represent... | |
 | Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...tJte product of the means divided by the other extreme. (2) PROPOSITION II. — Conversely : — If the product of two quantities is equal to the product of two others, then two of them may be taken for the means, and the other two for the extremes of a proportion.... | |
 | Charles Davies - Geometry - 1864 - 358 pages
...to each other, that the product of two pf them is equal to the product of the other two ; then tvce of them may be made the means, and the other two the utremes of a proportionLet A, B, C, and D, have such values that BxC-AxD Divide both sides of the equation... | |
 | Joseph Ray - Algebra - 1866 - 420 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 extreme* of a proportion. Let ........ bc = ad. Dividing each of these equals by etc, we have Or bd... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...the ratio of 3 to 10, we have the two fractions I, aud y, ART. 268. 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.... | |
 | Joseph Ray - Algebra - 1866 - 252 pages
...2 : 5 is a false proportion, since 3X5 is not equal to 8x2. 245. 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 6c=ad.... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...2 : 5 is a false proportion, since 3x5 is not equal to 8x2. 245. Proposition II. — 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—... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...Then | = J, Art. 292. Multiplying each of these equals by bd, we have ad—be. 9 300.^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... | |
 | William Frothingham Bradbury - Algebra - 1868 - 270 pages
...d ac ie r = 3 bd Clearing of fractions, ad = bc P RATIO AND PROPORTION. 209 THEOREM II. 203 • If the product of two quantities is equal to the product of two others, the factors of either product may be made the extremes, and the factors of the other the means... | |
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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. 
