 | Abraham de Moivre - Electronic books - 1756 - 376 pages
...Unity ; 2°, the laft but one by the Sum of the Roots wanting the firft ; 3°, the laft but two, by the Sum of the Products of the Roots taken two and two, excluding that product wherein the firft Root is concerned ; 4°, the laft but three, by the Sum of... | |
 | Charles Hutton - Mathematics - 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 - Mathematics - 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 - Geometry - 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 - Mathematics - 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... | |
 | Charles Tayler - 1824 - 350 pages
...third term the sum of all the possible products of two roots multiplied by x^ ; in the fourth term the sum of the products of the roots taken three and three, multiplied by — x\ and lastly, in the fifth term the product of all the four roots multiplied together.... | |
 | Silvestre François Lacroix - Algebra - 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) - Algebra - 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...third term. 3d. The sum of the products of the roots three and three taken with contrary signs, is equal to the coefficient of the fourth term ; or the... | |
 | Charles Davies - Algebra - 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...signs, is equal to the co-efficient of the third term. The sum of the products of the roots taken three and three with their signs changed, is equal to the... | |
 | Algebra - 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...signs, is equal to the co-efficient of the third term. The sum of the products of the roots taken three and three with their signs changed, is equal to the... | |
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... is equal to the sum of the products of the roots taken three and three ; and so on. 
