阿基米德命题“论球与圆柱”的积分求解

On the Integral Solver of Archimedes Proposition "Concerning the Ball and Cylinder"

针对阿基米德"球与圆柱"的面积和体积的有关命题,进行积分巧解,不仅采用了定积分、曲线积分、曲面积分、二重积分、三重积分等积分手段进行"一题多解",而且利用了各种积分之间联系公式进行"一题多变",增强了积分求解的灵活性.

Aiming at relevant Archimedes propositions of area and volume 'concerning the Ball and Cylinder',this paper undertakes integral solver by adopting flexible methods including definite integral,line integral,surface integral,double integral and triple integral etc to enhance the flexibility of integral solver.