"... was without a doubt the greatest computational scientist of his time; his achievements are still being discovered... His Calculator's Key, on arithmetic and algebra, contains many gems... including a method for calculating the fifth root of an arbitrary number. ...he was the first to compute \pi beyond the equivalent of six decimal places, reaching a full sixteen. Late in his relatively short life he became a leading member of 's scientific court in Samarquand... Al-Kāshī's original treatise on Sin 1° is lost, but... provoked a flood of commentaries and variants after his death. The first of its two central ideas is to recognize that Sin 1° is a root of a relatively simple cubic equation. One of the sine triple-angle identities, easily derived from the sine summation formula, isSin\,3\theta = 3Sin\,\theta - 0;0,4(Sin\,\theta)^3.Substituting \theta = 1^o and x = Sin\,1^o, we arrive at the fundamental equationSin\,3^o = 3x - 0;0,4x^3. and since Sin 3° may be found [by geometry], we need only solve this equation. ...Al-Kāshī continues the process to ten sexagesimal places, concluding withSin\,1^o = 1;2,49,43,11,14,44,16,19,16....accurate to all but the last two places... well beyond any practical astronomical need."