Books Books If the product of two quantities is equal to the product of two others, the... An Elementary Geometry - Page 27
by William Frothingham Bradbury - 1872 - 110 pages ## Primary Elements of Algebra: For Common Schools and Academies

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... ## Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

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... ## Ray's Algebra, First Book: Primary Elements of Algebra, for Common ..., Book 1

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... ## Elementary Algebra

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... ## Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

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,... ## Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

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,... ## Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

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... ## A Treatise on Algebra

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.... ## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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.... 