研究生: |
楊景淇 Yang, Ching-Chi |
---|---|
論文名稱: |
Some Properties of Plane and Space Curves 平面與空間中曲線的探討 |
指導教授: |
蔡東和
Tsai, Dong-Ho |
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: | 2009 |
畢業學年度: | 97 |
語文別: | 英文 |
論文頁數: | 22 |
中文關鍵詞: | 曲線 |
外文關鍵詞: | curves, supprt function |
相關次數: | 點閱:36 下載:0 |
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In this thesis, we present the Cauchy-Crofton formula, the support function along the curve, and give some example on it, such as estimate a curve’s length, and support function on circle, elliptic, and translated curve.
Manfredo P. do Carmo, Di¤erential Geometry of Curves and Surfaces,
1976, Prentice-Hall.
Rolf Schneider, Convex Bodies: The Brunn-Minkowski Theory, 1993,
Combridge University
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