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Visually Dynamic Presentation of Proofs in Plane Geometry Part 1. Basic Features and the Manual Input Method 期刊论文
JOURNAL OF AUTOMATED REASONING, 2010, 卷号: 45, 期号: 3, 页码: 213-241
作者:  Ye, Zheng;  Chou, Shang-Ching;  Gao, Xiao-Shan
收藏  |  浏览/下载：82/0  |  提交时间：2018/07/30
Geometry theorem proving  Visually dynamic presentation of proof  Dynamic geometry  Unordered geometry  Gelernter  Java Geometry Expert  Morley's theorem  Feuerbach's theorem  Pythagorean theorem  Pedal triangle  
Visually Dynamic Presentation of Proofs in Plane Geometry Part 2. Automated Generation of Visually Dynamic Presentations with the Full-Angle Method and the Deductive Database Method 期刊论文
JOURNAL OF AUTOMATED REASONING, 2010, 卷号: 45, 期号: 3, 页码: 243-266
作者:  Ye, Zheng;  Chou, Shang-Ching;  Gao, Xiao-Shan
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Geometry theorem proving  Proof with hierarchical structures  Visually dynamic presentation of proof  Dynamic geometry  Full-angle  Deductive database  Fixpoint  Unordered geometry  Hilbert geometry  Tarski geometry  
Quadratic approximation to plane parametric curves and its application in approximate implicitization 期刊论文
VISUAL COMPUTER, 2006, 卷号: 22, 期号: 9-11, 页码: 906-917
作者:  Li, Ming;  Gao, Xiao-Shan;  Chou, Shang-Ching
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
rational approximation  conics  parametric curves  approximate implicitization  
ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS, 1991, 卷号: 1, 期号: 2, 页码: 125-136
作者:  Gao, Xiao-Shan;  Chou, Shang-Ching
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Parametric equations  normal parametric equations  inversion map  conics  conicoids  computer modeling