• East Asian mathematical journal
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• 제35권2호
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• pp.141-161
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• 2019

The purpose of this paper is to reinterpret and visualize the trisection line construction of general angle in the Medieval Islam using conic sections. The geometry field in the current 2015 revised Mathematics curriculum deals mainly with the more contents of analytic geometry than logic geometry. This study investigated four trisecting problems shown by al-Haytham, Abu'l Jud, Al-Sijzī and Abū Sahl al-Kūhī in Medieval Islam as one of methods to achieve the harmony of analytic and logic geometry. In particular, we studied the above results by 3 steps(analysis, construction and proof) in order to reinterpret and visualize.

• East Asian mathematical journal
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• 제30권2호
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• pp.173-195
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• 2014

This study, utilizing several features about plane figures covered in the current secondary curriculum of mathematics and reviewing two solutions to cube duplication problem presented by Menaechmus, proving the solution by Nicomedes and visualizing solutions based on Apollonius' 'Conics' by medieval Islam geometricians such as Ab$\bar{u}$ Bakr al-Haraw$\bar{i}$, AbAb$\bar{u}$ J$\acute{a}$far al-Kh$\bar{a}$zin, Nas$\bar{i}$r al-D$\bar{i}$n al-T$\bar{u}s\bar{i}$, Y$\bar{u}$suf al-Mu'taman ibn H$\bar{u}$d, introduce to teachers and students in the field where the question of cube duplication problem comes from and which solving method has developed it and suggests new methods for visualization using dynamic geometry program as well so that the contents reviewed can be used in the filed. The solving methods to cube duplication problem in this paper are very creative and increase the practicality, efficiency and value of Mathematics, and provide students and teachers with the opportunities to reconfirm the importance and beauty of basic knowledge in the secondary geometry in the process of visualization of drawing figures using dynamic geometry program.

• Asian review of World Histories
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• 제3권1호
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• pp.113-135
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• 2015

The word 'urbanity' literally means 'quality or state of being urban' where the criterion of urban economic and civic culture is assumed despite the general celebration of cultural uniqueness of urban centers. The narratives celebrating the uniqueness of urban centers since the ancient past till recent times could not get rid of the broad categorization of the urban models depending on their contextual networks of trade, mobility and culture. This paper attempts to explore whether the urban cultures in South Asia even preceding a global phenomenon like colonialism were actually reflecting an idea of urbanity where the urban culture, including planning and architecture reflected a trans-national model. This paper particularly concentrates on the medieval period when a pattern of urbanity took shape in this subcontinent under the influence of Islam, which could be explained by its particular idea of urban model, cultural exchange and vibrant trade networks.

• East Asian mathematical journal
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• 제37권4호
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• pp.499-521
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• 2021

This research is devoted to investigate Omar Khayyām's geometric solution for the cubic equation using conic sections in the Medieval Islam as a useful alternative connecting logic geometry with analytic geometry at a secondary school. We also introduce Omar Khayyām's 25 cases classification of the cubic equation with all positive coefficients. Moreover we study 6 cases with 4 terms of 25 cubic equations and in particular we reinterpret geometric methods of solving in 2015 secondary Mathematics curriculum and visualize them by means of dynamic geometry software.

• 한국도서관정보학회지
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• 제50권3호
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• pp.1-22
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• 2019

서양사회는 중세를 '암흑시대'로 폄하해 왔다. 그러나 중세 천년을 주도한 이슬람이 종이와 제지술, 아랍 번역본을 서양에 전파하지 않았다면 희랍 라틴어 번역과 전수, 구텐베르크 인쇄술, 종교개혁, 르네상스는 태동할 수 없었다. 그들은 고대 지식문명 파괴자가 아니라 복원과 부활의 주역이었다. 그 거점이 무슬림 공동체로 회자되는 모스크와 이슬람 도서관(지혜의 집)이다. 이에 본 연구는 중세 이슬람 왕조의 성립과 아라비아 반도, 아프리카, 이베리아 반도를 지배하는 과정에서 등장한 이슬람 도서관을 추적했다. 이를 위하여 왕실이 주도한 칼리프 도서관, 모스크에 병설된 공공도서관, 재상과 학자 등이 설립한 개인도서관으로 대별한 후 중세 이슬람 도시인 다마스쿠스, 메카, 바그다드, 알레포, 코르도바, 카이로, 페스, 튀니스 등의 주요 도서관 흔적을 중심으로 역사와 발전, 역할과 기능, 인류문명에 미친 영향과 중요성, 침체와 쇠퇴 등을 분석했다.