Talk:Kushyar ibn Labban

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[edit] Copyright Violation

I have deleted two paragraphs from this article because it was copied verbatim from the MacTutor website. Here is the offending material.

Wiki: Most significant is his work on Hindu reckoning being the earliest known work on Arabic arithmetic which deals with Hindu numerals. An earlier text by Abu'l-Wafa on arithmetic did not use Hindu numerals. Kushyar's Principles of Hindu reckoning was written about 1000 AD.

MacTutor:

Most significant in terms of this archive is his work on Hindu reckoning being the earliest known work on Arabic arithmetic which deals with Hindu numerals. An earlier text by Abu'l-Wafa on arithmetic did not use Hindu numerals. Kushyar's Principles of Hindu reckoning was written about 1000 AD.

Wiki: There, Kushyar uses a symbol for zero, but does not use any separating symbol to distinguish the fractional part of a number from the integral part. He discusses decimal numbers in the main body of the text, relegating sexagesimal numbers to a separate treatment in tables. Topics considered include addition and subtraction of decimal numbers followed by multiplication and division of decimal numbers. Kushyar gives methods to construct exact square roots, as well as approximate methods to calculate the square roots of non-square numbers. Similarly he gives methods to construct exact cube roots, and an approximate method to calculate the cube root of a non-square number. As a check on the accuracy of his results, Kushyar uses the method of "casting out nines" or "checking the nines" which basically checks that the sums are correct modulo 9. DavidCBryant 13:50, 15 April 2007 (UTC)

MacTutor:

The first point to note is that Kushyar uses a symbol for zero, but does not use any separating symbol to distinguish the fractional part of a number from the integral part. He discusses decimal numbers in the main body of the text, relegating sexagesimal numbers to a separate treatment in tables. Topics considered include addition and subtraction of decimal numbers followed by multiplication and division of decimal numbers. Kushyar gives methods to construct exact square roots, as well as approximate methods to calculate the square roots of non-square numbers. Similarly he gives methods to construct exact cube roots, and an approximate method to calculate the cube root of a non-square number. As a check on the accuracy of his results, Kushyar uses the method of "casting out nines" or "checking the nines" which basically checks that the sums are correct modulo 9.

(I was one second too slow for the "Hagermanbot"!) DavidCBryant 13:53, 15 April 2007 (UTC)