 | Jeremiah Day - Algebra - 1814 - 304 pages
...quantity, or the proposition which we wish to demonstrate. It may undergo any change which will not affect the equality of the ratios ; or which will leave the...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
...quantity, or the proposition which we wish to demonstrate. It may undergo any change which will not affect the equality of the ratios ; or which will leave the...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 - 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... | |
 | Jeremiah Day - Algebra - 1839 - 354 pages
...demonstrate. It may undergo any change which will not affect the equality of the ratios ; or which will lea*e 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... | |
 | Jeremiah Day - Algebra - 1842 - 356 pages
...proposition which we wish to demonstrate. It may undergo any change which will not affect the equality of ihe 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... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...between two quantities found ? When the means and one extreme are given, how find the other extreme 1 When the extremes and one of the means are given,...principles. CASE I. Changes in the order of the terms. ' N '' 344. If four quantities are proportional, the order of the means, or of the extremes, or 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... | |
 | Admiralty - 1845 - 152 pages
...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... | |
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It is evident that the terms of a 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. 
