以 Cabri Geometry 動態幾何軟體探索 Steiner’s Porism

Abstract

本研究是利用 "Cabri Geometry" 動態幾何軟體來探索 Steiner’s Porism ，主要的討論有反演和Steiner’s Porism 兩部份。第一部份在介紹反演的定義、性質和應用；第二部份是藉由反演來建構 Steiner Chain 進而探索 Steiner’s Porism。本研究的內容也藉由 Cabri II Plus Plug-in以網頁的形式，動態呈現。網址如下：http://home.educities.edu.tw/iamalumi/ 。

The purpose of this thesis is to explore Steiner’s Porism by the software "Cabri Geometry". There are two discussions referring to inversion and Steiner’s Porism. Definition, properties and applications of inversion are introduced in the first part and constructing Steiner Chain by inversion to explore Steiner’s Porism is the second one. The contents of this thesis are also presented dynamically on the following website by Cabri II Plus Plug-in developed by the Cabrilog company : http://home.educities.edu.tw/iamalumi/ .