| John Bonnycastle - Algebra - 1813 - 444 pages
...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... | |
| Elias Loomis - Algebra - 1846 - 380 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... | |
| Elias Loomis - Algebra - 1846 - 376 pages
...equation is equal to the sum of all the roots with their sign2 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 - 1852 - 408 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... | |
| Elias Loomis - Algebra - 1855 - 356 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... | |
| James B. Dodd - Algebra - 1859 - 368 pages
...the sum of all the roots of the equation, with their signs changed. 2. The co-efficient of the third term is equal to the sum of the products of all the roots combined two and two, with their signs changed, &c. 3. The known or absolute term is equal to the product... | |
| Joseph Ray - Algebra - 1866 - 420 pages
...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...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 - 1867 - 240 pages
...:t— 2— i/ 3=0, z=2— v/3, .-. z-2+v/3=0. (5) It has been shown, Art. 398, that the coefficient of the fourth term is equal to the sum of the products...changed. The roots with their signs changed are -|-2, -j-1, — 1, — 3 — 4, and the sum of their products taken three and three is (2XlX-1)+(2XlX-3)+(2X1X-4)... | |
| 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... | |
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