关键词: 几何概率, 随机线段, 运动密度, 运动测度, 积分几何

Abstract:

Two new concepts, the restricted chord function and the restricted chord projection function, both referring to the convex body in Eⁿ, were  introduced in Reference[1]. General formulae to yield the kinematic measure of a segment of fixed length in a convex body in Eⁿ,  were established based on these concents and a discussion was given with respect to right parallelepiped domain in E³. In this paper, by using restricted chord projection method, the authors could solve Buffon needle problem for three kinds of bounded lattices in E³. 

Key words: Random segment, Kinematic density, Kinematic measure, Integral geometry