중세 이슬람이 보인 입방배적문제 해결방법들의 재조명과 시각화
The reinterpretation and the visualization of the cube duplication problem solving in medieval Islam
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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 Abū Bakr al-Harawī , Abū Jáfar al-Khāzin, Nasīr al-Dīn al-Tūsī, Yūsuf al-Mu'taman ibn Hūd, 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.
Abstract
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 Abū Bakr al-Harawī , Abū Jáfar al-Khāzin, Nasīr al-Dīn al-Tūsī, Yūsuf al-Mu'taman ibn Hūd, 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.
참고문헌 (10)
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