 | Sir Thomas Little Heath - 1885 - 300 páginas
...a solution of y* - 1 = square is y = -5- . o 25 289 Therefore the numbers are =-= . -ST . 16 64 31. To find two numbers such that their product ± their sum gives a square. 1 Diophantos does not use two unknowns, but assumes the numbers to be x* and 1 until he has... | |
 | 1910 - 1038 páginas
...tkt square of their sum * any one of them singly, all the resulting number* are squares (III. 22); To find two numbers such that their product * their sum gives a cube (IV. 29) ; To find three squares suck that their continufd product added to any one of them gives a... | |
 | Thomas L. Heath - 1910 - 406 páginas
...~ !S = a square. Put ^a - i = (y - 4)3, say. Therefore y = ^-, and the numbers are ^, ^. 64 64 30. To find two numbers such that their product + their sum gives a square. Now >«* + «J ± 2w« is a square. Put 2, 3, say, for m, n respectively, and of course 2s... | |
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Therefore y = ^-, and the numbers are ^, ^. 64 64 30. To find two numbers such that their product + their sum gives a square. Now >«* + «J ± 2w 