 | Jeremiah Day - 1814 - 304 páginas
...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 páginas
...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 - 1836 - 332 páginas
...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 páginas
...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 páginas
...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... | |
 | Horatio Nelson Robinson - 1845 - 310 páginas
...expression called 1 Jlns. Proportion, or ratio. It is called ratio, when one number is expressed by unity. Is the ratio of two numbers the same as the quotient...two like terms be brought to the same denomination ? When we have the 1st, 2d, and 4th terms of a proportion, how do we find the third ] ARITHMETIC. COMPOUND... | |
 | Admiralty - 1845 - 152 páginas
...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 páginas
...:: 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 páginas
...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... | |
 | Jeremiah Day, James Bates Thomson - 1848 - 264 páginas
...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... | |
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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. 
