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解析几何是用代数方法研究几何图形性质的。在直角坐标系中,根据曲线上的点所适合的条件,列出关于点的坐标x和y之间的一个方程,于是,曲线上所有的点的坐标都适合这个方程;同样坐标适合这个方程的所有的点都在这曲线上;这就在曲线与方程之间建立了对应
Analytic geometry uses algebraic methods to study the nature of geometrical figures. In the Cartesian coordinate system, an equation between the coordinates x and y of the point is listed according to the conditions of the points on the curve. Thus, the coordinates of all the points on the curve are suitable for this equation; the same coordinates are suitable for this equation. All points of the curve are on this curve; this establishes a correspondence between the curve and the equation.