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

Atilla BİR; Mustafa KAÇAR

Makale detayları

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

Yazarlar:

Atilla BİR | Mustafa KAÇAR

Yayıncı:

Istanbul University

Ana Başlıklar:

Tarih ve Coğrafya

Dergi:

Osmanli Bilimi Arastirmalari (Studies in Ottoman Science) 2005 Vol.7 Issue 1, pp.45-66

Belge Tipi:

Makale

Yayın Tarihi:

11/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000561858

Sıklık:

İki Yıllık

eISSN:

2458-7982

pISSN:

1303-3123

Özet:

 


Trisecting an angle by using geometric methods and tools (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 (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 (1832-1901) and his book entitled
Linear Algebra (Istanbul 1882, 1892) on the quaternions. 

.

 


Trisecting an angle by using geometric methods and tools (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 (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 (1832-1901) and his book entitled Linear Algebra (Istanbul 1882, 1892) on the quaternions. 

.

Makale detayları

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

Yazarlar: Atilla BİR | Mustafa KAÇAR

Yayıncı: Istanbul University

Ana Başlıklar: Tarih ve Coğrafya

Dergi: Osmanli Bilimi Arastirmalari (Studies in Ottoman Science) 2005 Vol.7 Issue 1, pp.45-66

Belge Tipi: Makale

Yayın Tarihi: 11/2005

Belge Dili: Türkçe

Document ID (Org No.): 2000561858

Sıklık: İki Yıllık

eISSN: 2458-7982

pISSN: 1303-3123

Sayı

Yazarlar:

Atilla BİR | Mustafa KAÇAR

Yayıncı:

Istanbul University

Ana Başlıklar:

Tarih ve Coğrafya

Dergi:

Osmanli Bilimi Arastirmalari (Studies in Ottoman Science) 2005 Vol.7 Issue 1, pp.45-66

Belge Tipi:

Makale

Yayın Tarihi:

11/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000561858

Sıklık:

İki Yıllık

eISSN:

2458-7982

pISSN:

1303-3123