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Chords through a convex body generated from within an embedded body

Published online by Cambridge University Press:  14 July 2016

E. G. Enns  and
P. F. Ehlers
E. G. Enns*
Affiliation:
University of Calgary
P. F. Ehlers*
Affiliation:
Okanagan College
*
∗Postal address: Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada T2N 1N4.
∗∗Postal address: Department of Mathematics, Okanagan College, Penticton, British Columbia, Canada.
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Abstract

A body E is completely embedded within a convex body G. A line segment is generated by a measure depending only on E or on both E and G. This line segment is then projected to the surface of G in one or both directions. The distributions of selected line segments of this type are derived.

Keywords

STOCHASTIC GEOMETRYSECANTSCONVEXITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 4 , December 1988 , pp. 700 - 707
Copyright
Copyright © Applied Probability Trust 1988 

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