삼차방정식의 기하학적 해법에 대한 재조명과 시각화
The Reinterpretation and Visualization for Geometric Methods of Solving the Cubic Equation
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The purpose of this paper is to reinterpret and visualize the medieval Arab's studies on the geometric methods of solving the cubic equation by utilizing Apollonius’ symptom of the parabola. In particular, we investigate the results of Kamāl al-Dīn ibn Yūnus, Alhazen, Umar al-Khayyām and Al-Tūsī by 4 steps(analysis, construction, proof and examination) which are called the complete solution in the constructions. This paper is available in the current middle school curriculum through dynamic geometry program(Geogebra).
Abstract
The purpose of this paper is to reinterpret and visualize the medieval Arab's studies on the geometric methods of solving the cubic equation by utilizing Apollonius’ symptom of the parabola. In particular, we investigate the results of Kamāl al-Dīn ibn Yūnus, Alhazen, Umar al-Khayyām and Al-Tūsī by 4 steps(analysis, construction, proof and examination) which are called the complete solution in the constructions. This paper is available in the current middle school curriculum through dynamic geometry program(Geogebra).
참고문헌 (20)
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