Salih Zeki’nin ‘Teslis-i Zaviye’ Konusundaki “Bir Hendese Meselesi” Adlı Yazı Dizisi

Authors : Atilla BİR, Mustafa KAÇAR

Pages : 45-66

View : 12 | Download : 10

Publication Date : 2005-12-01

Article Type : Research Paper

Abstract :Trisecting an angle by using geometric methods and tools insert ignore into journalissuearticles values(a ruler and a pair of compass only); is an ancient problem which was desperately attempted over 2500 years. We know since Newton that this problem can not be solved by recourse to geometry, except for particular angle degrees. Throughout centuries, however, several amateur mathematicians claimed to have found a complete geometric solution. In a series of articles titled “A geometry problem concerning the trisection of an angle” published in Resimli Mecmua in 1891-1892, Salih Zeki discussed the problem in detail. He gave the main proofs concerning the trisection and showed why proposed solutions are not geometric. Furthermore, he discussed the proofs given by Masdariyecizade Hüseyin Efendi, teacher of mathematics at the Mühendishane-i Berri Humayun insert ignore into journalissuearticles values(Imperial School of Engineering);. Hüseyin Efendi, arguing that he found a solution in 1823, had asked a commission of mathematicians to confirm it. While discussing Hüseyin Efendi’s solution, Salih Zeki also referred to the work of a the Ottoman mathematician Vidinli Hüseyin Tevfik Paşa insert ignore into journalissuearticles values(1832-1901); and his book entitled Linear Algebra insert ignore into journalissuearticles values(Istanbul 1882, 1892); on the quaternions. 
Keywords : Salih Zeki, matematik tarihi, açının üçe bölünmesi, Resimli Gazete