이차곡선의 새로운 해석 = (A) study on new description of quadratic curves

다국어 초록 (Multilingual Abstract)

In generally, a quadratic curve is described as two methods. One method of description is using the distance-relation of given points. The other method is using the eccentricity.
In this thesis, We studied that the given points can be expanded into geometrical figure such as the circle or the square. We also found that the quadratic curve is still remained in spite of that expansion.
For it, We surveyed general properties of circle, ellipse, and hyperbola in the chapter 1 and expanded the focus of circle, ellipse and hyperbola into the circle and the square in the chapter 2.
Consequently, if the focus is expanded into the circle, the focus is generally showed a quadratic curve. And if the focus is expanded into the square, it is showed the part of a quadratic curve, according to the extent.

목차 (Table of Contents)

• 목 차
• Ⅰ. 서론························································································1
• 1. 연구 필요성 및 목적·································································1
• 2. 연구 방법················································································2
• Ⅱ. 본론························································································2
• 1. 이차 곡선의 일반적인 해석························································2
• (1)주어진 점과의 거리 관계를 이용한 해석·····································2
• (2)이심률을 이용한 해석·······························································9
• 2. 이차곡선의 새로운 해석···························································13
• (1)이차곡선의 초점을 원으로 확장하여 새롭게 해석······················13
• ①주어진 점과의 거리 관계를 이용한 해석································13
• ②이심률을 이용한 해석·························································30
• (2)이차곡선의 초점을 특정한 사각형으로 확장하여 새롭게 해석·····49
• Ⅲ. 결론 및 제언··········································································66
• 참고 문헌····················································································68
• ABSTRACT·················································································69