| Jeremiah Day - Algebra - 1814 - 303 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 - 332 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 - 304 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 - 192 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 - 332 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 - 332 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... | |
| Admiralty - 1845
...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 - 288 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 - 294 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 - 1846 - 332 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 product of the means equal to** fhe product of the extremes. It is evident, in the first place, that any alteration in the arrangement,... | |
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