Bedreddin Muhammed el-İstanbulî`nin Teslis-i Zaviye (Açıyı Üçe Bölme) ve Tesbi`-i Daire (Daireyi Yediye Bölme) Risaleleri

Authors : Mustafa KAÇAR, Atilla BİR

Pages : 1-20

View : 19 | Download : 11

Publication Date : 2003-06-01

Article Type : Research Paper

Abstract :Problems on trisecting an angle and dividing a circle into seven parts have a significant place in the history of geometry. These problems attracted the attention of Ottoman scientists as well as medieval Islamic mathematicians. Bedreddin el-Istanbulî insert ignore into journalissuearticles values(18th century); was one of the earliest Ottoman mathematicians who studied these problems.   Bedreddin Muhammed, son of the 18 th  century Ottoman scholar Yanyalı Esad Efendi, was probably educated by his father. He lived in Istanbul and likely in Cairo. Only three of his mathematical works came down to us. The first one is  Şarh Ba`zı al-Makalat al-Uklidisiyya  and was written in Arabic in 1723 insert ignore into journalissuearticles values(h.1136);. The only manuscript is preserved at the Beyazit State Library in Istanbul insert ignore into journalissuearticles values(Umumi nr. 9787);. This work includes a commentary insert ignore into journalissuearticles values( Sharh ); on some the problems of Euclidian geometry. His other two works are shorter and kept at the Cairo National Library  Dar al-Kutub . Their titles are  Kitab Taslîs al-Zâviya be Tasb`i al-Da`ira  insert ignore into journalissuearticles values(trisecting an angle and  dividing a circle into seven parts ); and  Kitâb ‘Amal al-Musabba‘ ve gayrihu min zavâti`l-ızlâ‘ li`l-kasira fi`d-Dâ`ira  insert ignore into journalissuearticles values(The inscribing a heptagone   and other polygons in a circle);.   The methods used by Bedreddin Muhammed in his treatises where he often referred to Archimedes and Euclides, are rather sophisticated but correct.. This complexity sometimes led to difficulties in grasping the text. Bedreddin Muhammed tried to present his studies in an abridged form and aimed to inform his colleagues about their practical applications, an approach highly favoured by the Ottomans.
Keywords :