| Jeremiah Day - Algebra - 1814 - 304 pages
...demonstrate. It may undergo any change which will not affect the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes. • It is evident, in the first place, that any alteration in the arrangement, which will not affect... | |
| Jeremiah Day - Algebra - 1827 - 352 pages
...demonstrate. It may undergo any change which will not affect the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes. It is evident, in the first place, that any alteration in the arrangement, which will not affect the... | |
| Silas Totten - Algebra - 1836 - 360 pages
...fractions being equal, and the denominators the same, the numerators must also be equal ; and hence, the product of the means equal to the product of the extremes. and any changes may be made in a proportion, provided that the equality of the products of the means and... | |
| Silas Totten - Algebra - 1836 - 332 pages
...fractions being equal, and the denominators the same, the numerators must also be equal ; and hence, the product of the means equal to the product of the extremes. (66.) The property of geometrical proportions which has just been proved, is the fundamental principle... | |
| George Willson - Arithmetic - 1838 - 194 pages
...is there between the product of the means, and the product of the extremes of a proportion ? Why is the product of the means equal to the product of the extremes ? ' What rule is founded on this equality ? Explain the common method of stating in the Single Rule... | |
| James Bates Thomson - Algebra - 1844 - 272 pages
...proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes. These changes are numerous, but they may be reduced to a few general principles. CASE I. Changes in... | |
| Admiralty - 1845 - 152 pages
...any equation, Divide by 13 .-. ж=12 61. An equation may be formed from 4 proportional quantities, by making the product of the means equal to the product of the extremes. Let the proportional quantities be x, y, a, b ; or x : y : : a : b. Vy-J (Art. 15.) .-. bx=ay. (Art.... | |
| Horatio Nelson Robinson - Arithmetic - 1845 - 310 pages
...is there between the product of the means, and the product of the extremes of a proportion ? Why is the product of the means equal to the product of the extremes ? What rule is founded on this equality ? Explain the common method of stating in the Single Rule of... | |
| Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...:: D : C; B : D : : A : C, &c. &c. From each of which we may readily derive the equation AD= CB, or the product of the means equal to the product of the extremes. Many other properties might be presented, but we limit ourselves to this short discussion, and proceed... | |
| Jeremiah Day - Algebra - 1847 - 358 pages
...demonstrate. It may undergo any change which will not affect the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes. It is evident, in the first place, that any alteration in the arrangement, which will not affect the... | |
| |