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Cyclic pentagons and hexagons with integer sides, diagonals and areas

Abstract

A polygon all of whose sides, diagonals and the area are given by integers is called a Heron polygon. A cyclic Heron polygon is called a Brahmagupta polygon. In this paper we obtain parametrized families of Brahmagupta pentagons and hexagons, that is, cyclic pentagons and hexagons with integer sides, diagonals and areas.

2020 Mathematics Subject Classification:

11D41, 51M25, 51M99

Keywords

cyclic polygons, cyclic pentagons, cyclic hexagons, Brahmagupta pentagons, Brahmagupta hexagons

Full text

Author Details

Ajai Choudhry

13/4 A Clay Square
Lucknow – 226001, India
e-mail: ajaic203@yahoo.com


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