The geometrical works of Abū Sa`īd al-Ḋarīr al-Jurjānī (Q2741019)

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scientific article; zbMATH DE number 1642273
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The geometrical works of Abū Sa`īd al-Ḋarīr al-Jurjānī
scientific article; zbMATH DE number 1642273

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    13 June 2002
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    al-Bīrūnī
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    Ibn al-Haytham
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    problems of neusis
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    The geometrical works of Abū Sa`īd al-Ḋarīr al-Jurjānī (English)
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    It is first shown that al-Jurjānī was misidentified in the books on Arabic science. It is determined that he was working around the year 1000 C. E. and that of the two extant works, one is directed to al-Bīrūnī and the second one influenced Ibn al-Haytham. They are problems of neusis, of finding a segment of given length between two given lines through a given point, to be solved by conics. The paper contains an explanation of the mathematics, an edition of the Arabic text, very legibly printed in \TeX\ , and a complete translation.
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