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" Roots and squares are equal to numbers: for instance, 'one square, and ten roots of the same, amount to thirty-nine dirhems'; that is to say, what must be the square which, when increased by ten of its own roots, amounts to thirty-nine? The solution is... "
The Teaching of Elementary Mathematics - Σελίδα 126
των David Eugene Smith - 1902 - 312 σελίδες
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Elementary algebra: with brief notices of its history

Robert Potts - 1879 - 672 σελίδες
...squares are equal to nnmbers ; one square and ten roots of the same, amount to thirty-nine' dirhems ;" that is to say, ' ' what must be the square, which...thirty-nine ?" The solution is this : you halve the numlxT of the roots, which in the present instance yields five. You multiply by itself ; the product...

Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 σελίδες
...squares are equal to numbers ; one square and ten roots of the same, amount to thirty-nine dirhems ;" that is to say, ' ' what must be the square, which when increased by ten of its owu roots, amounts to thirty-nine ? " The solution is this : you halve the number of the roots, which...

كتاب المختصر في حساب الجبر والمقابلة

Friedrich August Rosen - 1881 - 362 σελίδες
...Numbers ;f for instance, " one square, and ten roots of the same, amount to thirty-nine dirhems ;" that is to say, what must be the square which, when...thirty-nine? The solution is this : you halve the numberj of the roots, which in the present instance yields five. This you multiply by itself; the product...

History of Mathematics, Τόμος 2

David E. Smith - 1958 - 756 σελίδες
...•= 64, we have whence x + $ = 8 and x = 3. His statement as to the second method is as follows : You halve the number of the roots, which in the present...multiply by itself ; the product is twenty-five. Add this to thirty-nine; the sum is sixty-four. Now take the root of this, which is eight, and subtract...
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Mathematics For The Million: How To Master The Magic Of Numbers

Lancelot Hogben - 1968 - 662 σελίδες
...such equations. Calling the number by which * is multiplied (10 in this illustration) the ' roots ', ' You halve the number of the "roots" which in the present instance gives 5. This you multiply by itself. The product is 25. Add this to 39. The sum is 64. Now take the...
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Algebra in Ancient and Modern Times

V. S. Varadarajan - 1998 - 164 σελίδες
...problems he solved in his work. One square and ten roots of the same amount to thirty-nine dirhems; that is to say, what must be the square, which, when...increased by ten of its own roots, amounts to thirty-nine? In modern notation this is the problem Solve for X from the equation X2 + 1OX = 39 One of the greatest...
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Great Muslim Mathematicians

Mohaini Mohamed - 2000 - 192 σελίδες
...square equals number For instance: one square and ten roots of the same amount to thirty-nine dirhams; that is to say, what must be the square which, when increased by ten of its own roots, amounts to thirty nine? The solution is: you halve the number of roots, which in present instance yields five....
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Classics in the History of Greek Mathematics

Jean Christianidis - 2004 - 502 σελίδες
...to numbers; for instance “one square, and ten roots of the same amount to thirty-nine dirhems”; that is to say, what must be the square which, when...multiply by itself; the product is twenty-five. Add this to thirty-nine; the sum is sixty-four. Now take the root ofthis, which is eight, and subtract...
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A History of Mathematics: From Mesopotamia to Modernity

Luke Hodgkin - 2005 - 302 σελίδες
...equal to numbers: for instance, 'one square, and ten roots of the same, amount to thirty-nine dirhems'; that is to say, what must be the square which, when...multiply by itself; the product is twenty-five. Add this to thirty-nine; the sum is sixty-four. Now take the root of this, which is eight, and subtract...
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The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook

Victor J. Katz, Annette Imhausen - 2007 - 712 σελίδες
...equal to Numbers; for instance, "one square, and ten roots of the same, amount to thirty-nine dirhams"; that is to say, what must be the square which, when...multiply by itself; the product is twenty-five. Add this to thirtynine; the sum is sixty-four. Now take the root of this, which is eight, and subtract...
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