Comments and References for A000332 and A000579
Antreas P. Hatzipolakis
xpolakis at otenet.gr
Thu May 25 23:48:37 CEST 2000
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Find the number of intersections of the diagonals of a convex polygon of
n sides.
Answer: C(n,4)
(In EIS A000332)
References:
Norbert Kaufman and R. H. Koch, AMM, 54 (June, 1947), p. 344
Charles W. Trigg: Mathematical Quickies.
New York: Dover Publications, Inc., 1985, p. 53, #191
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If n points on the circumference of a circle are joined by straight lines
in all possible ways, and no three of these lines meet at a single point
inside the circle, find the number of triangles formed, all of whose
vertices lie inside the circle.
Answer: C(n,6)
(In EIS: A000579)
References:
Leo Moser, Mathematics Magazine, 26 (March, 1953), p. 226.
Charles W. Trigg: Mathematical Quickies.
New York: Dover Publications, Inc., 1985, p. 11, #32
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Antreas
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