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Books Books 1 - 3 of 3 on To find three squares such that the product of any two of them, added to the sum....
" To find three squares such that the product of any two of them, added to the sum of those two, gives a square. "
Diophantine Analysis - Page 104
by Robert Daniel Carmichael - 1915 - 118 pages
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Elements of algebra, by A. Ingram and J. Trotter

Alexander Ingram - 1844
...second, shall be all equal to each other. . 922 390 788 Ans. .gp .|p and — . 88. To find three numhers such, that the product of any two of them added to the sum of the same two, shall make a square. Ans. 4, 9, and 28. 89. To find three numbers such, that the product...
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Diophantos of Alexandria: A Study in the History of Greek Algebra

Sir Thomas Little Heath - Mathematics, Greek - 1885 - 248 pages
...Porism numbered (1) above (pp. 122, 123).] 5. Tofind three squares such that the product of any two, added to the sum of those two, or to the remaining one, gives a square. Porism. If any two consecutive squares be taken, and a third number which exceeds twice their sum by...
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The Theory of Numbers and Diophantine Analysis: Two Volumes Bound As One

R. D. Carmichael - Mathematics - 2004 - 118 pages
...SOLUTION or A CERTAIN PROBLEM DUE TO FERMAT Fermat has given attention to the following problem : To find three squares such that the product of any two of them, added to the sum of those two, gives a square. ceding section; but he gives no hint as to the method which he employs. He says, however,...
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