 | Charles de Neuvéglise - Mathematics - 1700 - 1254 pages
...ajume J y divided by the Qian. С с 3 titj CXXIX. From the Generation of Equations it is evident^ that the known Quantity of the fécond Term of the...its Sign be changed, is equal to the Aggregate of ail the Roots under their proper Signs ; ana that of the third Term equal to the Aggregate of the Reflangles... | |
 | Isaac Newton, Edmond Halley - Algebra - 1720 - 312 pages
...when we took away the third Term of the jEquation. From the Generation of .¿Equations it is evident, that the known Quantity of the fécond Term of the ./Equation, if its Sign be chang'd, is equal to the Aggregate [or Sum} of all the Roots [added together] under their proper Signs... | |
 | William Dunham - Biography & Autobiography - 1999 - 220 pages
...Newton's words: . . . the coefficient of the second term in an equation is, if its sign be changed, equal to the aggregate of all the roots under their proper signs; that of the third equal to the aggregate of the products of the separate roots two at a time; that... | |
 | Hans Wußing - Mathematics - 2008 - 529 pages
...heißt es: „From the generation of equations it is evident, that the known quantity of the second term of the equation, if its sign be changed, is equal...that of the third term, equal to the aggregate of the rectangles of each of two of the roots; that of the fourth, if its sign be changed, is equal to the... | |
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... two of the roots; that of the fourth, if its sign be changed, is equal to the aggregate of the contents under each three of the roots, that of the fifth is equal to the aggregate of the contents each four, and so on ad infinitum". 