一般說來,曲線围成的平面面積,曲面所包圍的立体的体积,以及形心等問題,都需要用微積分的知識,才能解決它。現在我們应用了祖暅原理,再加以簡單的代數运算就能解它。也就是說原來是高等數学范圍里的問題,应用祖暅原理可把問題引导到初等數学范疇里解决它,所以对於沒有学过 In general, the area of ​​the plane enclosed by the curve, the volume of the volume surrounded by the surface, and the centroid, all require knowledge of calculus to solve it. Now that we have applied the ancestral principle, we can solve it with simple algebraic operations. In other words, the original problem is in the scope of higher mathematics. The application of the ancestral principle can guide the problem to the elementary mathematics category and solve it, so it has not been studied.