| Bourdon (M., Louis Pierre Marie) - 1831 - 389 pages
...the roots themselves, is equal to the coefficient of the second term taken with a contrary sign. 2d. **The sum of the products of the roots taken two and two** with their respective signs, is equal to the coefficient of the third term. 3d. The sum of the products... | |
| Charles Davies - 1835 - 374 pages
...the roots themselves, is equal to the co-efficient of the second term taken with a contrary sign. 2d. **The sum of the products of the roots taken two and two,** with their respective signs, is equal to the co-efficient of the third term. The sum of the products... | |
| 1838 - 372 pages
...the roots themselves, is equal to the co-efficient of the second term taken with a contrary sign. 2d. **The sum of the products of the roots taken two and two,** with their respective signs, is equal to the co-efficient of the third term. The sum of the products... | |
| Francis Henney Smith - 1841 - 46 pages
...successive formation of the co-efficients of an equation, from the comInflation of the sum of its roots, **the sum of the products of the roots, taken two and two,** three and three, &c. He appears to have been the first who understood the use of negative roots, and... | |
| Charles Davies - 1842 - 368 pages
...the roots themselves, is equal to the co-efficient of the second term taken with a contrary sign. 2d. **The sum of the products of the roots taken two and two,** with their respective signs, is equal to the co-efficient of the third term. The sum of the products... | |
| Charles Davies - 1845 - 368 pages
...the roots themselves, is equal to the co-efficient of the second term taken with a contrary sign. 2d. **The sum of the products of the roots taken two and two,** with their respective signs, is equal to the co-efficient of the third term. 3d. The sum of the products... | |
| Ormsby MacKnight Mitchel - 1845 - 294 pages
...d ..... &c ...... — /; or, the sum of the roots, with the contrary sign, Q,=ab+ac+ad+bc+bd+, &c.; **the sum of the products of the roots, taken two and two,** R= — abc-\-abd-\-, &c.; the sum of the products of the roots, taken three and three, with the contrary... | |
| Elias Loomis - 1846 - 346 pages
...the sum of all the roots (1 + 2 + 3) with their signs changed. The coefficient of the third term is **the sum of the products of the roots taken two and two;** thus, 1x2+1X3 + 2X3. The last term k" the product of all the roots (1X2x3) with their signs changed.... | |
| John Bonnycastle - 1848 - 334 pages
...second term is the sum of the roots with their signs changed. (2.) The coefficient of the third term is **the sum of the products of the roots, taken two and two,** with their signs changed. (3.) The coefficient of the fourth term is the sum of the products of the... | |
| Stephen Chase - 1849 - 350 pages
...the roots with their signs changed (§ 213. 3). (2.) The coefficient of the third term is equal to **the sum of the products of the roots taken two and two** (§ 213. 4); (3.) that of the fourth term, to the sum of their products taken three and three ; and... | |
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