Research in the Classical Problems of Compass and Straightedge of Ancient Greek Mathematics

碩士 === 中原大學 === 應用數學研究所 === 104 === In the present study, a different way was presented to solve the three ancient impossible construction problems of Euclidean geometry by performing in infinite steps. The three ancient impossible construction problems of Euclidean geometry are squaring the circle,...

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Bibliographic Details
Main Authors: Sheng-Yuan Chien, 簡聖原
Other Authors: Yuh-Jenn Wu
Format: Others
Language:zh-TW
Published: 2016
Online Access:http://ndltd.ncl.edu.tw/handle/81521701726450994368
Description
Summary:碩士 === 中原大學 === 應用數學研究所 === 104 === In the present study, a different way was presented to solve the three ancient impossible construction problems of Euclidean geometry by performing in infinite steps. The three ancient impossible construction problems of Euclidean geometry are squaring the circle, doubling the cube and angle trisection, which was shown in higher algebra. More details can be seen Taiwan Journal of Mathematics Education No. 23. However, a method which differs from the previous study is presented in the study. The method is demonstrated in chapter 2 and 3.