 | 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— ad. Dividing... | |
 | Joseph Ray - Algebra - 1852 - 420 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. Dividing... | |
 | 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. Dividing... | |
 | 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... | |
 | 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...factors of the other the means of a proportion. Let ad = lc Dividing by bd, j- = ie a : b = c : d THEOREM III. 204 t If four quantities are in proportion,... | |
 | William Frothingham Bradbury - Algebra - 1868 - 270 pages
...c : 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...factors of the other the means of a proportion. Let ad=bc Dividing by bd, ^ = ^ ie a : b = c : d THEOREM III. 204, If four quantities are in proportion,... | |
 | Eli Todd Tappan - Geometry - 1868 - 436 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 the... | |
 | 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.... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1869 - 470 pages
...this case, the square of the mean is equal to the product of the extremes. PROPOSITION II. THEOREM. If 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.... | |
 | William Frothingham Bradbury - Geometry - 1872 - 268 pages
...extremes equal to the product of the means is merely clearing the equation of fractions. THEOREM II. 14, If the product of two quantities is equal to the product of two others, the factors of eiIher product may be made the extremes, and the factors of the other the means of a proportion. Let... | |
| |
If the product of two quantities is equal to the product of two others, the... 
