| Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...to 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.... | |
| 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... | |
| Joseph Ray - Algebra - 1852 - 422 pages
...than 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 - 420 pages
...: 8, is not a true proportion, since 3X5 is not equal to 2x8. 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 extreme* of a proportion. Let ........... | |
| 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—... | |
| 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... | |
| Charles Davies - Algebra - 1867 - 322 pages
...Thus, if we have the proportion 3 : 6 : • 6 : 12, we shall also have 6 x 6 — 62 = 3 x 12 = 36. 155i If the product of two quantities is equal to the product of hre ether quantities, may the four be placed in a proportion \ Hew ? 157. If we have RD A : B : : C... | |
| Elias Loomis - Algebra - 1868 - 386 pages
...d. 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 - 264 pages
...product of the extremes is equal to the product of the means. Let a : b = c : d ' 1 = 3 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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