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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/41712

Title: Cyclic polygons with rational sides and area
Author/Creator: Buchholz, Ralph H.; MacDougall, James A.
Institution: The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: We generalise the notion of Heron triangles to rational-sided, cyclic n-gons with rational area using Brahmagupta's formula for the area of a cyclic quadrilateral and Robbins' formulæ for the area of cyclic pentagons and hexagons. We use approximate techniques to explore rational area n-gons for n greater than six. Finally, we produce a method of generating non-Eulerian rational area cyclic n-gons for even n and conjecturally classify all rational area cyclic n-gons.
Relation: Journal of Number Theory Vol. 128, Issue 1, p. 17-48
Publisher Link: http://dx.doi.org/10.1016/j.jnt.2007.05.005
Date: 2008
Publisher: Elsevier
Keyword(s): Heron triangle; rational polygon; cyclic polygon; rational area
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/41712
Identifier: ISSN:0022-314X

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