 | Sir Thomas Little Heath - 1885 - 300 páginas
...5)2 say. 9 Therefore x = — , to and the numbers are 9, 328, 73. 17. To find three numbers such that the product of any two added to the sum of those two gives a square. Lemma. The squares of two consecutive numbers have this property. Let 4, 9 be two of... | |
 | Hugh Chisholm - 1910 - 1044 páginas
...degree are squares, cubes, partly squares and partly cubes, &c. Eg To find three numbers such that the product of any two added to the sum of those two gives a square (III. 15, ed. Tannery) ; To find four numbers such that, if we take the square of their... | |
 | 1910 - 1050 páginas
...third, degree are squares, cubes, partly squares and partly cubes, &c. Eg~fofind three numbers suck that the product of any two added to the sum of those two gives a square (III. 15, oil. Tannery) ; To find four numbers such that, if we take ike sguare of their... | |
 | Thomas L. Heath - 1910 - 406 páginas
...deduce a solution of a new problem in which the corresponding expressions with x?, y1, za in place of *, y, z are all squares. The problem is To find three...numbers such that (i) the product of any two added to t/ie sum of those two, (2) the product of any two added to the third, (3) the sum of the products of... | |
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To find three numbers such that the product of any two added to the sum of those two gives a square (III. 