Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T01:48:22.601Z Has data issue: false hasContentIssue false
  • English
  • Français

On the distribution of a random triangle

Published online by Cambridge University Press:  14 July 2016

V. S. Alagar
V. S. Alagar*
Affiliation:
Concordia University, Montreal
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we find the distribution of the area X of a randomly chosen triangle within a given triangle T. An extension of the classical Crofton technique is used in setting up a sequence of differential equations to obtain the desired distribution.

Keywords

RANDOM TRIANGLECONVEX HULLMOMENTSDISTRIBUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 2 , June 1977 , pp. 284 - 297
Copyright
Copyright © Applied Probability Trust 1977 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Alagar, V. S. (1975) The Distribution of the Volume of Random Sets and Related Problems on Random Determinants. , McGill University, Montreal, Canada.Google Scholar
Klee, V. (1969) What is the expected volume of a simplex whose vertices are chosen at random from a given convex body? Amer. Math. Monthly 76, 286–288.Google Scholar