摘要
平面绕一定直线旋转而成的旋转体体积计算方法有微元法、坐标变换法等多种,这些方法往往推导繁琐,所得一般公式不易掌握.应用古鲁金定理证明了平面绕一定直线旋转而成的旋转体体积计算的一般公式,推广和简化了已有的公式,并加以应用.
The calculating method for the rotating object volum of plane rotating around a certain linee is micro-element method, coordinate transformation method other, these methods are often cumbersome deduced, from the general formula is not easy to keep. Using P. Guldin Guerdon theorem to solve the problem of random rotating object volume, and then gives out the calculating formula for the rotating object volume, this not only popularizes the existed calculating formula, but also simplifies existed calculating methods. At last given some examples.
出处
《高师理科学刊》
2008年第3期38-40,共3页
Journal of Science of Teachers＇College and University
关键词
古鲁金定理
旋转体体积
一般公式
P.Guldin theorem
rotating object volume
the general formula
