{"id":657,"date":"2016-02-01T21:53:00","date_gmt":"2016-02-01T12:53:00","guid":{"rendered":"https:\/\/www.sanosemi.com\/wp_hssj\/?p=657"},"modified":"2016-08-02T17:10:19","modified_gmt":"2016-08-02T08:10:19","slug":"japanese-studies-in-the-history-of-science-supplement-2-1971","status":"publish","type":"post","link":"https:\/\/www.sanosemi.com\/wp_hssj\/archives\/657","title":{"rendered":"Japanese Studies in the History of Science<\/em>, Supplement 2 \/ 1971"},"content":{"rendered":"\n\n
\n\"JSHS-1971-Supplement2-h1\"<\/a>\n<\/td>\n\n
Ab\u016b K\u0101mil’s “On the Pentagon and Decagon”<\/div>\n
Mohammad Yadegari and Martin Levey<\/div>\n
Japanese Studies in the History of Science<\/em>, Supplement 2 \/ 1971.<\/div>\n
The History of Science Society of Japan, Tokyo<\/div>\n
March 1972<\/a><\/div>\n
54pp<\/div>\n
Download the Journal Sample PDF<\/span>\"icon-pdf\"Open Access<\/span><\/a><\/div>\n
Download the Journal PDF \"icon-pdf\"(Members Only)<\/span><\/a><\/div>\n<\/td>\n<\/tr>\n<\/table>\n
\n

Ab\u016b K\u0101mil\u2019s “On the Pentagon and Decagon”
\nby Mohammad Yadegari and Martin Levey [1]<\/p>\n

Ab\u016b K\u0101mil Shuj\u0101c<\/sup> ibn Aslam ibn Muhammad ibn Shuj\u0101c<\/sup> (ca. 850-930 A.D.) was known as al-Hasib al-Misr\u012b, “the reckoner from Egypt.” He is, after al-Khw\u0101rizm\u012b (ca. 825), the earliest algebraist of the Islamic Middle Ages whose writings are extant [2]. His work is important in the history of mathematics for a number of reasons. He was among the early Muslim algebraists whose work in algebra was extensively used by Europeans. It has been established that Leonardo Fibonacci (of Pisa) had access to the treatises of ab\u016b K\u0101mil. Leonardo was aware of “On the Pentagon and Decagon” of ab\u016b K\u0101mil and used it in his Practica Geometriae<\/i>. There is proof that Leonardo used dozens of ab\u016b K\u0101mil’s problems in his algebra [3]. From “On the Pentagon and Decagon”, Leonardo used seventeen of its twenty problems carrying over the exact nvimber facts . [4] In previous works, Levey has shown that ab\u016b K\u0101mil was much interested in developing a mathematical methodology which combined the more abstract Greek methods with more pragmatic procedures of the Babylonian and Egyptian algebraists. Evidence for this has been established from his Algebra<\/i> and his Indeterminate Equations<\/i> [5]. Further proof is in “On the Pentagon and Decagon” to be discussed. <\/p>\n

[1] State University of New York, Albany, New York.
\n[2] M. Levey, The Algebra of Ab\u016b K\u0101mil <\/i>(Madison, 1966) pp. 3-6; Encyclopedia of Islam<\/i> I, I32-I33 (I960).
\n[3] Ibid.<\/i>. pp. 2I7-22O for elementary algebraic problems
\nused by Leonardo from ab\u016b K\u0101mil’s Algebra<\/i>.
\n[4] cf.<\/i> B. Boncompagni, ed. of Scritti di Leonardo Pisano<\/i> (Roma, 1857-1862) Practica geometriae<\/i> vol. II, pp. 207-216. cf.<\/i> also H. Suter, Bib. Math.<\/i> 10, 38-42 (1909-10) where Leonardo’s solutions are compared with those of ab\u016b K\u0101mil.
\n[5] M. Levey, in press with Atti della Accademia Nazionale del Lincei <\/i>(Roma).<\/p>\n","protected":false},"excerpt":{"rendered":"

Ab\u016b K\u0101mil’s “On the Pentagon and Decagon” Mohammad Yadegari and Martin Levey Japanese Studies in the History of Science, Supplement 2 \/ 1971. The History of Science Society of Japan, Tokyo March 1972 54pp Download the Journal Sample PDFOpen Access Download the Journal PDF (Members Only) Ab\u016b K\u0101mil\u2019s “On the Pentagon and Decagon” by Mohammad Yadegari and Martin Levey [1] Ab\u016b K\u0101mil Shuj\u0101c ibn Aslam ibn Muhammad ibn Shuj\u0101c (ca. 850-930 A.D.) was known as al-Hasib al-Misr\u012b, “the reckoner from Egypt.” He is, after al-Khw\u0101rizm\u012b (ca. 825), the earliest algebraist of the Islamic Middle Ages whose writings are extant [2]. His work is important in the history of mathematics for … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[6,7,8,9],"tags":[],"_links":{"self":[{"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/posts\/657"}],"collection":[{"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/comments?post=657"}],"version-history":[{"count":11,"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/posts\/657\/revisions"}],"predecessor-version":[{"id":688,"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/posts\/657\/revisions\/688"}],"wp:attachment":[{"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/media?parent=657"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/categories?post=657"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sanosemi.com\/wp_hssj\/wp-json\/wp\/v2\/tags?post=657"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}