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Proving Theorems in Elementary Geometry with Clifford Algebraic Method
作者姓名:李洪波  程民德
作者单位:中国科学院系统所(李洪波),北京大学数学所(程民德)
摘    要:本文结合吴方法及平面几何的Cliford代数表示,提出了几何定理机器证明的一种完备的方法.用这种方法证明定理时,三角化的过程及证明的过程通常较以前的方法更简短而且它们是可以几何解释的.

关 键 词:Clifford代数  吴方法  几何定理机器证明

Proving Theorems in Elementary Geometry with Clifford Algebraic Method
Li Hongbo.Proving Theorems in Elementary Geometry with Clifford Algebraic Method[J].Advances in Mathematics,1997(4).
Authors:Li Hongbo
Abstract:In this paper a complete method, based on Wu's method and Clifford algebraic representation of plane geometry, is proposed for mechanical geometry theorem proving. Both the triangulation procedure and the proving procedure by this method are often short and geometrically interpretable.
Keywords:Clifford algebra  Wu's method  mechanical geometry theorem proving  
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