一般旋转曲面的求积公式及其应用

Formula of quadrature of general curled curved surface and application

首先给出空间简单光滑曲线Γ在参数方程下绕空间直线l旋转所得到的旋转曲面面积以及围成立体的体积公式,又作为特例给出了空间曲线Γ在一般方程下绕空间直线l及坐标轴旋转所得到的旋转曲面面积及围成立体的体积公式,同时作为特例也得到了平面曲线Γ绕空间直线l及坐标轴旋转分别所得到的旋转曲面面积和围成立体的体积求法,从而,可应用公式进行有关的计算。

Fist this page gives formula of curled curved surface and solid volume of oral about spatial simple smooth curved F revolved spatial line l to curled under parameter equation, it is special example that gets formula of curled curved surface and solid volume of corral of spatial curved Г revolved axle of coordinate to curl under general equation, and gets requesting of curled curved surface and solid volume of corral of spatial curled Г revolved spatial line l and axle of coordinate to curled. Thus used formula for relevant to calculation.