DocServer
Login | Create Account

Cyclic Polygons with Rational Sides and Area

MacDougall, James A. and Buchholz, Ralph H. (2008) Cyclic Polygons with Rational Sides and Area. Journal of Number Theory, 128 (1). pp. 17-48.

[img]
Preview
 PDF - Published Version
Download (348Kb) | Preview

    Abstract

    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' formul$\ae$ 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.

    Item Type: Article
    Subjects: 00-xx General > 00Axx General and miscellaneous specific topics
    Faculty: UNSPECIFIED
    Depositing User: Stephanie
    Date Deposited: 16 Nov 2010 15:16
    Last Modified: 16 Nov 2010 15:16
    URI: http://docserver.carma.newcastle.edu.au/id/eprint/785

    Actions (login required)

    		 View Item
    EPrints Logo
    If you believe that material on this site infringes your copyright, please contact us. DocServer supports OAI 2.0 with a base URL of http://docserver.carma.newcastle.edu.au/cgi/oai2
    DocServer is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.