| Colin MacLaurin - Algebra - 1756 - 432 pages
...all the produis that can be made by multiplying any two of the roots (a, b, ct d, e) by ont another. **The coefficient of the fourth term is the fum of all the** producís that can be made by multiplying into one another any three of the roots, with their ßgns... | |
| Giovanni Alberto Baselli - Mathematics - 1787 - 440 pages
...of all the produite that can be made by multiplying any two of the roots together. That of the 4th **is the fum of all the products which can be made by...roots with their figns changed ; and fo of others. The** lad term is the product of all the roots, With their figns changed. 3. From induction it appears, that... | |
| Colin MacLaurin - Algebra - 1796 - 504 pages
...all the produits that can be made by multiplying any two of the roots (a, bt c, d, e) by one another. **The coefficient of the fourth term is the fum of all the** producís that can be made by multiplying into one another any three of the roots, with their figns... | |
| Colin MacLaurin - Algebra - 1796 - 504 pages
...the frcdufls that can be made by multiplying any two of tbt roots (a, I, c, it, t) by tmi another. **The coefficient of the fourth term is the fum of all the** produEls that can be made by multiplying into one another any three of the roots, 'with their figns... | |
| Maria Gaetana Agnesi - Calculus - 1801
...co-efficient of the third term is the fum of all the products of all the pairs of roots which can be formed ; **the co-efficient of the fourth term is the fum of all the products** of all the ternaries or threes ; and fo on to the laft or conftant term, which is the product of all... | |
| Jeremiah Day - Algebra - 1814 - 303 pages
...co-efficients, in the third term, are ab, ac, be. In the fourth term, the co-efficient of x is the sum **of all the products which can be made, by multiplying together any three of the roots,** after their signs are changed. Thus the roots 6f the biquadratic equation are a, b, c, and d, and the... | |
| Encyclopedias and dictionaries - 1816
...can be made by multiplying any two of the roots together. The co-efficient of the fourth term is fhe **fum of all the products, which can be made: by multiplying together any three of the roots with their** li^ns changed ; and fo of others. The laft term is the product of all the roots, with their ligns changed.... | |
| Jeremiah Day - Algebra - 1820 - 332 pages
...Therefore In the third term of the original equation, B the co-efficient of x, is equal to the sum **of all the products which can be made by multiplying together any** two of the roots (Art. 500.) But each of these products will be excluded from too of the quotients... | |
| Jeremiah Day - Algebra - 1827 - 332 pages
...co-efficients, in the second term, are — a and — 6. In the third term, the co-efficient of x is the sum **of all the products which can be made, by multiplying together any** two of the roots. Thus, in the cubic equation, as the roots are a, 4, and c, the co-efficients, in... | |
| Jeremiah Day - Algebra - 1847 - 332 pages
...co-efficients, in the second term, are - a and - 6. In the third term, the co-efficient of x, is the sum **of all the products which can be made, by multiplying together any** two of the roots. Thus, in the cubic equation, as the roots are a, b, and c, the co-efficients, in... | |
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