参数法与面束法——两种既对立又统一的方法

PARAMETRIC METHOD AND METHOD OF PENCILED PLANES BEING BOTH CONTRADICTORY AND UNITED

数学分析中两种最基本的运算——微分与积分,来自化整为零与积零为整的想法。化整为零的想法,几何中就是参数法。积零为整的想法,在平面几何中,就是线束法;在空间几何中,就是面束法。参数法与面束法是两种既对立又统一的方法。

Two basic operations-differentiation and integration are from the ideas of reducing integral to zero and integrating zero into integral in analytics. The idea of reducing integral to zero is the parametric method in geometry. The idea of integrating zero into integral is the method of penciled lines in plane geometry. It is also the method of penciled planes in space geometry. The parametric method and the method of penciled planes are both contradictory and united.