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Pappus定理及其应用
引用本文:鞠银,朱薇. Pappus定理及其应用[J]. 常州工学院学报, 2005, 18(6): 53-55
作者姓名:鞠银  朱薇
作者单位:南京工业大学理学院应用数学系,江苏,南京,210009;南京邮电大学数理学院,江苏,南京,210003
摘    要:从教学的角度给出了古希腊数学家Pappus总结出来的Pappus定理的证明.进而导出一般旋转体体积公式.利用该公式可使一些旋转体体积的计算得到简化,同时对高等数学的教学也有一定的指导意义。

关 键 词:体积  Pappus定理  旋转体
文章编号:1671-0436(2005)06-0053-03
收稿时间:2005-10-20
修稿时间:2005-10-20

Pappus Theorem and Its Application
JU Yin,ZHU Wei. Pappus Theorem and Its Application[J]. Journal of Changzhou Institute of Technology, 2005, 18(6): 53-55
Authors:JU Yin  ZHU Wei
Abstract:The Pappus theorem which was summarized by Pappus, the ancient Greek mathematician, has been represented in the light of teaching, and thus the volume formula of general body of revolution has been introduced. The application of this theorem simplifies the calculation of the volume of revolver. Meanwhile, it provides proper guidance for the teaching of advanced mathematics.
Keywords:volume   Pappus theorem   revolver
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