caa a22 4500 606224009 CHVBK 20210128101141.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00407-015-0150-3 doi (NATIONALLICENCE)springer-10.1007/s00407-015-0150-3 Root extraction by Al-Kashi and Stevin [Elektronische Daten] [Nuh Aydin, Lakhdar Hammoudi] In this paper, we study the extraction of roots as presented by Al-Kashi in his 1427 book "Key to Arithmetic” and Stevin in his 1585 book "Arithmetic”. In analyzing their methods, we note that Stevin's technique contains some flaws that we amend to present a coherent algorithm. We then show that the underlying algorithm for the methods of both Al-Kashi and Stevin is the same. Springer-Verlag Berlin Heidelberg, 2015 Aydin Nuh Department of Mathematics and Statistics, Kenyon College, 201 N. College Rd, 43022, Gambier, OH, USA aut Hammoudi Lakhdar Department of Mathematics, Ohio University, 101 University Drive, 45601, Chillicothe, OH, USA aut Archive for History of Exact Sciences Springer Berlin Heidelberg 69/3(2015-05-01), 291-310 0003-9519 69:3<291 2015 69 407 https://doi.org/10.1007/s00407-015-0150-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00407-015-0150-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aydin Nuh Department of Mathematics and Statistics, Kenyon College, 201 N. College Rd, 43022, Gambier, OH, USA aut NATIONALLICENCE 700 1- Hammoudi Lakhdar Department of Mathematics, Ohio University, 101 University Drive, 45601, Chillicothe, OH, USA aut NATIONALLICENCE 773 0- Archive for History of Exact Sciences Springer Berlin Heidelberg 69/3(2015-05-01), 291-310 0003-9519 69:3<291 2015 69 407