• East Asian mathematical journal
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• v.35 no.2
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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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• v.30 no.2
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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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• v.3 no.1
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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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• v.37 no.4
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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.

• Journal of Korean Library and Information Science Society
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• v.50 no.3
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• pp.1-22
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• 2019

Western society has depreciated the Middle Ages as the 'Darkness'. However, if Islam, which led the medieval millennium, had not spread paper and art of papermaking, and Arabic translations to the Western countries, translating and interpreting Arabic manuscripts into Greek and Latin, Gutenberg's printing press, Reformation, and Renaissance could not take place. They were not destructors of ancient knowledge and civilization, but were the protagonists of restoration and resurrection. The base camp is the Mosque and Islamic library(the House of Wisdom), which was referred to as a Muslim community. This study traced Islamic libraries that emerged in the process of establishing the Islamic dynasties and controlling Arabian Peninsula, Africa, Iberian Peninsula. For this purpose, the Islamic library was divided into the caliph library led by the royal families, the public library attached to the mosques, and the private library established by the viziers and scholars, etc. Then, the researcher analyzed history and development, roles and functions, impact and Importance on human civilization, and stagnation and decline, focusing on major libraries that existed in the Islamic cities of Damascus, Mecca, Baghdad, Aleppo, Cordoba, Cairo, Fes, Tunis, etc.