 | Colin MacLaurin - 1756 - 538 σελίδες
...all the produis that can be made by multiplying any two of the roots (a, b, ct d, e) by ont another. The coefficient of the fourth term is the fum of all the producís that can be made by multiplying into one another any three of the roots, with their ßgns... | |
 | Giovanni Alberto Baselli - 1787 - 480 σελίδες
...of all the produite that can be made by multiplying any two of the roots together. That of the 4th is the fum of all the products which can be made by...roots with their figns changed ; and fo of others. The lad term is the product of all the roots, With their figns changed. 3. From induction it appears, that... | |
 | Colin MacLaurin - 1796 - 556 σελίδες
...all the produits that can be made by multiplying any two of the roots (a, bt c, d, e) by one another. The coefficient of the fourth term is the fum of all the producís that can be made by multiplying into one another any three of the roots, with their figns... | |
 | Colin MacLaurin - 1796 - 554 σελίδες
...the frcdufls that can be made by multiplying any two of tbt roots (a, I, c, it, t) by tmi another. The coefficient of the fourth term is the fum of all the produEls that can be made by multiplying into one another any three of the roots, 'with their figns... | |
 | Maria Gaetana Agnesi - 1801 - 724 σελίδες
...co-efficient of the third term is the fum of all the products of all the pairs of roots which can be formed ; the co-efficient of the fourth term is the fum of all the products of all the ternaries or threes ; and fo on to the laft or conftant term, which is the product of all... | |
 | Jeremiah Day - 1814 - 304 σελίδες
...co-efficients, in the third term, are ab, ac, be. In the fourth term, the co-efficient of x is the sum of all the products which can be made, by multiplying together any three of the roots, after their signs are changed. Thus the roots 6f the biquadratic equation are a, b, c, and d, and the... | |
 | 1816 - 756 σελίδες
...can be made by multiplying any two of the roots together. The co-efficient of the fourth term is fhe fum of all the products, which can be made: by multiplying together any three of the roots with their li^ns changed ; and fo of others. The laft term is the product of all the roots, with their ligns changed.... | |
 | Jeremiah Day - 1820 - 352 σελίδες
...Therefore In the third term of the original equation, B the co-efficient of x, is equal to the sum of all the products which can be made by multiplying together any two of the roots (Art. 500.) But each of these products will be excluded from too of the quotients... | |
 | Jeremiah Day - 1827 - 352 σελίδες
...co-efficients, in the second term, are — a and — 6. In the third term, the co-efficient of x is the sum of all the products which can be made, by multiplying together any two of the roots. Thus, in the cubic equation, as the roots are a, 4, and c, the co-efficients, in... | |
 | Jeremiah Day - 1847 - 358 σελίδες
...co-efficients, in the second term, are - a and - 6. In the third term, the co-efficient of x, is the sum of all the products which can be made, by multiplying together any two of the roots. Thus, in the cubic equation, as the roots are a, b, and c, the co-efficients, in... | |
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The coefficient of the fourth term is the fum of all the products which can be made by multiplying together any three of the roots with their figns changed ; and fo of others. 