Shams al‐Dīn al‐Samarqandī, as his name implies, was from Samarqand, in what is now Uzbekistan. We know few of his biographical details with any certainty. He is believed to have been active during the second half of the seventh AH/AD thirteenth century, since he composed a star calendar for 675 AH/AD 1276‐7 to accompany his Al‐Tadhkira fī'l‐Hay'a (Synopsis of Mathematical Cosmography or Hay'a). Although Naṣīr al‐Dīn al‐Ṭūsī had gathered many leading intellectuals together at the Marāgha observatory, al‐Samarqandī is never mentioned among their number.
Al‐Samarqandī's earliest contributions were in the field of logic, but he is best known to historians of science for his brief tract, Kitāb Ashkāl al‐Ta'sīs (Book of Fundamental Theorems), a collection of 35 propositions from Euclid's Elements(mostly from Books I and II, although VI, 1 is also included), with abbreviated demonstrations. The treatise is very concise, and is historically better known through the commentary composed by...
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