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The probability measure of geometrical elements
Straight lines in threedimensional space
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angle applied average axes axis centre Chapter chord chosen circle clearly condition consider convex figure coordinates corresponding counted covered curve defined density determine diameters dimensions direction distance distribution domain element equal equation estimate example fixed follows formula function geometrical given gives Hence independently inside integral interesting intersection interval invariant joint distribution KENDALL lattice length mean measure method nearest needle observed obtained occur origin orthogonal matrix pairs parallel parameter particles particular perimeter perpendicular plane Poisson position possible probability probability distribution problem projection prove radius random lines random points range region represented respect rotation sides similar space sphere square stars statistical Suppose surface taken theorem theory tion transformation triangle unit variance variate vector volume write zero дф