The Kinematic Density for Pairs of Intersecting Lines
Received:April 18, 2006  Revised:January 16, 2007
Key Words: pairs of intesecting lines   kinematic density   kinematic formula.  
Fund Project:the National Natural Science Foundation of China (No. 60074033).
Author NameAffiliation
XIE Peng Department of Mathematics, Huazhong University of Science and Technology, Hubei 430074, China 
XIE Ke-yao Department of Mathematics, Huazhong University of Science and Technology, Hubei 430074, China 
CHENG Meng-liang Department of Mathematics, Huazhong University of Science and Technology, Hubei 430074, China 
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Abstract:
      In this paper, we get a kinematic density formula for pairs of intersecting lines which has not yet been gotten in integral geometry by using the moving orthogonal frames method. And we obtain a kinematic formula of the intersection of the pairs of intersecting lines belonging to convex body $K$ by using it.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.01.026
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