Random triangles in n dimensions

American Mathematical Monthly

Volumn 103, Issue 4, 1996, Pages 308-318

  Eisenberg, Bennett ^a   Sullivan, Rosemary ^b  

^a LEHIGH UNIVERSITY   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030536918     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2975187     Document Type: Article

References (13)

1. Baddeley, A., Integrals on a moving manifold and geometric probability. Adv. Appl. Prob. 9:588-603, 1977.
2. Bain, L. J. and M. Englehardt., Introduction to Probability and Mathematical Statistics. Duxbury Press, Boston, 1987.
3. Buchta, C., A Note on the Volume of a Random Polytope in a Tetrahedron. Illinois J. Math. 30:653-659, 1986.
4. Carroll, L., Pillow Problems, 1893. 4th edition (1895) Problem 58, pp. 14, 25, 83-84; reprinted (with A Tangled Tale), Dover Publications, New York, 1958.
5. Crofton, M. W., Probability. Encyclopaedia Britannica, Ninth edition, 19:768-788, 1885.
6. Eisenberg, B. and S. Khabbaz, Optimal Locations. College Math. J. 23:282-289, 1992.
7. Guy, R. K., There are three times as many obtuse-angled triangles as there are acute-angled ones. Math. Mag. 66:175-178, 1993.
8. Hall, G. R., Acute Triangles in the n-Ball. J. Appl. Prob. 19:712-715, 1982.
9. Hawthorne, F., Problem E1150. Amer. Math. Month. 62:40, 1955.
10. Langford, E., A Problem in Geometric Probability. Math. Mag. 43:237-244, 1970.
11. Port, S. C., Theoretical Probability for Applications, John Wiley and Sons, Inc., New York, 1994.
12. Portnoy, S., A Lewis Carroll Pillow Problem: Probability of an Obtuse Triangle. Statist. Science 9:279-284, 1994.
13. Woolhouse, W. S. B., Solution by the Proposer to Problem 1350. Mathematical Questions, with their Solutions from the Educational Times, 1, C. F. Hodgson and Son, London, 49-51, 1886.