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The area and perimeter of a random spherical triangle
KTH, Superseded Departments, Mathematics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We determine the distribution functions for the area and the perimeter of a random spherical triangle. We consider two natural ‘polar’ ways of generating the random triangle. It turnsout that the distribution for the area in the first way is closely related to the distribution of the perimeter in the second way, and vice versa.

National Category
Natural Sciences
URN: urn:nbn:se:kth:diva-146644ISRN: KTH/MAT/R-14/01-SEOAI: diva2:724390

QC 20140708

Available from: 2014-06-12 Created: 2014-06-12 Last updated: 2014-07-08Bibliographically approved

Open Access in DiVA

spherical.pdf(2706 kB)