 | Charles Davies - Algebra - 1860 - 412 pages
...ac + c -f- be x + d x* + a x3 + ab x2 -f- abc + b + ac + abd + c + ad + acd + d + be \ bed + bd + cd the co-efficient of the fourth term is equal to the sum of their different products, taken three and three. Reasoning from analogy, we might conclude that, in... | |
 | Isaac Todhunter - Equations, Theory of - 1861 - 330 pages
...third term is equal to the sum of the products of every two of the roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three of the roots with their signs changed; the last term is the product of all... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...coefficient of the third term is equal to the sum of the products of all the roots taken two and two. 3. The coefficient of the fourth term is equal to the...roots taken three and three, with their signs changed. And so on ; and 4. The last term is the product of all the roots, with the sign changed if the degree... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...equation, is equal to the sum of all the roots, with their signs changed. 2. The coefficient of the third term is equal to the sum of the products of all the roots taken two and two. 3. The coefficient of the fourth term is equal to the sum of the products of all the roots... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...equation is equal to the sum of all the roots, urith their signs changed. 2. Tfle coefficient of the third term is equal to the sum of the products of all the roots taken two and two. 3. The coefficient of the fourth term is equal to the sum of the products of all the roots... | |
 | Isaac Todhunter - Algebra - 1875 - 344 pages
...third term is equal to the sum of the products of every two of the roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three of the roots with their signs changed; the last term is the product of all... | |
 | J. D. C. de Roos - Links and link-motion - 1879 - 128 pages
...; the co-efficient of the third term is equal to the sum of their products taken two and two ; and the co-efficient of the fourth term is equal to the sum of the products three and three, taken with the opposite sign, etc., and finally, that the last term is equal... | |
 | Isaac Todhunter - Equations - 1882 - 348 pages
...third term is equal to the sum of the products of every two of the roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three of the roots with their signs changed; the last term is the product of all... | |
 | Engineering - 1879 - 542 pages
...; the co-efficient of the third term is equal to the sum of their products taken two and two ; and the co-efficient of the fourth term is equal to the sum of the products three and three, taken with the opposite sign, etc., and finally, that the last term is equal... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...the sum of the products of all the roots, taken two and two. The coefficient of the fourth term is the sum of the products of all the roots, taken three and three, with their signs changed, etc. The last term is the product of all the roots with their signs changed. NOTE. — It will be seen... | |
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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. 
