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Books Books 1 - 4 of 4 on They can be got from right-angled triangles2 by dividing the square of one of the....
" They can be got from right-angled triangles2 by dividing the square of one of the sides about the right angle by the square of the other. Let the squares then be The continued product = -J^ffax... "
Diophantine Analysis - Page 4
by Robert Daniel Carmichael - 1915 - 118 pages
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Diophantos of Alexandria: A Study in the History of Greek Algebra

Sir Thomas Little Heath - Mathematics, Greek - 1885 - 248 pages
...13 Therefore we have simply to divide ^j intо three squares. 24. To find three squares such tiiat their continued product added to any one of them gives a square. Let the " solid content" = x*, and we want three squares such that each increased by 1 gives a square....
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The Encyclopędia Britannica: A Dictionary of Arts, Sciences ..., Volume 8

Hugh Chisholm - Encyclopedias and dictionaries - 1910
...squares (III. 22) ; To find two numbers such that their product =t their sum gives a cube (IV. 29) ; To find three squares such that their continued product added to any one of them gives a square (V. 2l). Book VI. contains problems of finding rational right-angled triangles such that different...
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The Encyclopaedia Britannica: A Dictionary of Arts, Sciences ..., Volume 8

Hugh Chisholm - Encyclopedias and dictionaries - 1910
...squares (III. 22); To find two niimbfrs such that their product * their sum gives a cube (IV. 29); To find three squares such that their continued product added to any one of them gives a square (V. 21). Book VI. contains problems of finding rational right-anglfd triangles such that different...
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Diophantus of Alexandria: A Study in the History of Greek Algebra

Sir Thomas Little Heath - Mathematics, Greek - 393 pages
...the sum of three squares + /?. Hence we have to divide £f into three squares, "which is easy'." 21. To find three squares such that their continued product added to any one of them gives a square. Let the " solid content " = x-. We want now three squares, each of which increased by I gives a square....
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