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圆锥曲线是高中课程解析几何的重要组成部分,关于圆锥曲线的基本理论,成熟于古希腊.当法国数学家笛卡尔和费马创立了解析几何时,人们对圆锥曲线的认识进入了一个新阶段,对圆锥曲线的研究方法开始朝着解析几何的方向发展.到了18世纪,人们对解析几何进行广泛探讨,表示圆锥曲线的二元二次方程也被化为几种标准形式,或者用参数方程表示.1748年欧拉出版了《无穷小分析引论》,
The conical curve is an important part of the analytic geometry of the high school curriculum. The basic theory of conic curves matured in ancient Greece. When the French mathematicians Descartes and Fermat created analytical geometry, people’s understanding of the conic curve entered a new stage. The method of research on conic curves began to move in the direction of analytical geometry. By the 18th century, people had extensively explored analytical geometry and expressed that the quadratic equation of conic curves was also transformed into several standard forms, or used parametric equations. Said that in 1748 Euler published “Introduction to Infinitesimal Analysis”.