 | Jeremiah Day - 1814 - 304 σελίδες
...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 - 1827 - 352 σελίδες
...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... | |
 | George Willson - 1836 - 202 σελίδες
...the product of the means, and the product of the extremes of a proportion 7 Why is the product of ihe means equal to the product of the extremes ? What rule is founded on this equality ? Kxphiin the common method of slating in the Single Rule of Three. How do we proceed nfter a question... | |
 | Silas Totten - 1836 - 332 σελίδες
...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 - 1838 - 194 σελίδες
...make any difference which of the numbers is taken for the numerator, and which for the denominator ? Is the ratio of two numbers the same as the quotient...two like terms be brought to the same denomination? After the division, if there be a remainder, it may be treated in three different methods ; what are... | |
 | George Willson - 1838 - 194 σελίδες
...between the product of the means, and the product of the extremes of a proportion 1 Why is the produe! of the means equal to the product of the extremes...Three. How do we proceed after a question is stated 1 Why must the two like terms be brought to the same denomination? After the division' if there be... | |
 | James Bates Thomson - 1844 - 272 σελίδες
...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 σελίδες
...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.... | |
 | Ormsby MacKnight Mitchel - 1845 - 308 σελίδες
...:: 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 - 1847 - 358 σελίδες
...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... | |
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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. 
