| Charles Hutton - 1811 - 404 pages
...second term if b — a + 2c = 0, or a — b = 2c. Cor. 3. An equation will want its third term, if the sum -of the products of the roots taken two and two, is partly positive, partly negative, and these mutually destroy each other. Remark. An incomplete equation... | |
| Charles Hutton - 1812 - 624 pages
...the second term if b — a + 2c = 0, or a—b =. 2c. Cor. 3. An equation will want its third term, if the sum of the products of the roots taken two and two, is partly positive, partly negative, and these mutually destroy each other. Remark. An incowfilefe... | |
| Adrien Marie Legendre - 1819 - 574 pages
...taken with the contrary sign* will be the sum of the roots ; The coefficient of the third term will be the sum of the products of the roots, taken two and two ; The coefficient of the fourth term, ta],en with the contrary sign, will be the sum of the products... | |
| Charles Hutton - 1822 - 680 pages
...second term if b — a -f 2c = 0, or arb ••= 2c. Cor. 3. An equation will want its third term, if the sum of the products of the roots taken two and two, is partly positive, partly negative * and these mutually destroy each other. Remark* --.Ant incomplete... | |
| Silvestre François Lacroix - 1825 - 324 pages
...taken with the contrary sign, will be the sum of the roots ; The coefficient of the third term will be the sum of the products of the roots, taken two and two ; The coefficient of the fourth term, taken with the contrary sign, will be the sum of the products... | |
| Bourdon (M., Louis Pierre Marie) - 1831 - 446 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 - 378 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... | |
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