德国科学史家冈特(S.Gunther,1848~1923)曾将解析几何的历史分成三个阶段:第一阶段是两条坐标轴的引入,第二阶段是基于横、纵坐标的曲线作图,第三阶段是关于横、纵坐标的方程的建立。阿波罗尼斯的工作已经达到了第一阶段,在讨论圆锥曲线的某些性质时,阿波罗尼斯往往选择圆锥曲线的直径作为一条参照线。以圆 S.Gunther (1848-1923), a German historian of science, once divided the history of analytic geometry into three stages: the first stage is the introduction of two axes, the second stage is the mapping based on the horizontal and vertical axes, The third stage is about the horizontal and vertical coordinates of the establishment of the equation. Apolloys’ work has reached the first stage. When discussing certain properties of the conic, Apollonius often chooses the diameter of the conic as a reference line. Round