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The coefficient of the third term is equal to the sum of the products of all the roots taken two and two.
Key to Ray's New Algebras, Elementary and Higher: Containing Statements and ... - Page 183
by Joseph Ray - 1867 - 224 pages
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - Algebra - 1813
...the roots, taken two and two, is equal to the coefficient of the third term, with its proper sign. 3. The sum of the products of all the roots, taken three and three, is equal to the coefficient of the fourth term, with its sign changed ; and so on. * 4. The continued...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 304 pages
...term is equal to the sum of the different products of these same second terms multiplied two and two ; the coefficient of the fourth term is equal to the sum of the different products, three and three. Following this analogy, we say that the coefficient of a term,...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 389 pages
...the third term is equal to the sum of the products of the different second terms taken two and two ; the coefficient of the fourth term is equal to the sum of their different products taken three and three. Reasoning from analogy, we 1st. product . . x3+ a +...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 352 pages
...of the third term is equal to the sum of the products of every two roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three roots with their signs changed, &c. ; and the last term is equal to the product...
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On the theory and solution of algebraical equations

John Radford Young - 1835 - 12 pages
...of the third term is equal to the sum of the products of every two roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three roots with their signs changed; and so on: and the last term is equal to the...
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Elements of Algebra: Tr. from the French of M.Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 353 pages
...the third term is equal to the sum- of the products of the different second terms taken two and two ; the co-efficient of the fourth term is equal to the sum of their different products taken three and three. Reasoning from analogy, we may conclude that the co-efficient...
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Elements of Algebra

Algebra - 1838 - 358 pages
...the third term is equal to the sum of the products of the different second terms taken two and two ; the co-efficient of the fourth term is equal to the sum -of their different products taken three and three. Reasoning from analogy, we may conclude that the co-efficient...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839
...of the third term is equal to the sum of the products of every two roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three roots with their signs changed, &c. ; and the last term is equal to the product...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 358 pages
...the third term is equal to the sum of the products of the different second terms taken two and two ; the co-efficient of the fourth term is equal to the sum of their different products taken three and three. Reasoning from analogy, we may conclude that the co-efficient...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 368 pages
...the third term is equal to the sum of the products of the different second terms, taken two and two ; the coefficient of the fourth term is equal to the sum of their different products, taken three and three. Reasoning from analogy, we may conclude that the co-efficient...
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