簡易檢索 / 詳目顯示
| 研究生： |
陳盈諭 Chen, Yin-Yu |
|---|---|
| 論文名稱： |
Transitivity of Central Projection under Dynamic Geometry 中心投影的遞移性 |
| 指導教授： |
全任重
Chuan, Jen-Chung |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 論文出版年： | 2010 |
| 畢業學年度： | 98 |
| 語文別： | 英文 |
| 論文頁數： | 20 |
| 中文關鍵詞： | 中之投影 |
| 外文關鍵詞： | Central Projection |
| 相關次數： | 點閱：1 下載：0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
This paper aims at problems of structure in Eucliean space by using Cabri 3D. Cabri 3D is a Software to model these problems. Let us observe properties of structure more easily. And we exploit Cabri 3D to draw figures and design a drawing process. The problem of structure we discuss is the “transitivity of central projection” in three-dimensional space. Since not all triangles with Central Projection have transitivity, so we propose a sufficient condition and discuss some properties. We start from two-dimensional view to three-dimensional view. Further, we discuss locus of three triangles with Central Projection pairwisely.
[1] I.M. Yaglom; Translated by Abe Shenitzer, Geometric Transformations III, pp.20-22
[2] I.M. Yaglom; Translated by Abe Shenitzer, Geometric Transformations III, pp.175-158
[3] Coxeter, Harold Scott MacDonald (1969), Introduction to Geometry, New York: John Wiley & Sons
[4] Hilbert, David; Cohn-Vossen, Stephan (1952), Geometry and the Imagination, Chelsea, pp. 119–128
全文公開日期 本全文未授權公開 (校內網路)全文公開日期 本全文未授權公開 (校外網路)