Cyclic pentagons and hexagons with integer sides, diagonals and areas
Serdica Mathematical Journal, Tome 46 (2021) no. 4, pp. 307-322

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: cyclic polygons, cyclic pentagons, cyclic hexagons, Brahmagupta pentagons, Brahmagupta hexagons, 11D41, 51M25, 51M99
Ajai, Ajai. Cyclic pentagons and hexagons with integer sides, diagonals and areas. Serdica Mathematical Journal, Tome 46 (2021) no. 4, pp. 307-322. http://geodesic.mathdoc.fr/item/SMJ2_2021_46_4_a0/
@article{SMJ2_2021_46_4_a0,
     author = {Ajai, Ajai},
     title = {Cyclic pentagons and hexagons with integer sides, diagonals and areas},
     journal = {Serdica Mathematical Journal},
     pages = {307--322},
     year = {2021},
     volume = {46},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2021_46_4_a0/}
}
TY  - JOUR
AU  - Ajai, Ajai
TI  - Cyclic pentagons and hexagons with integer sides, diagonals and areas
JO  - Serdica Mathematical Journal
PY  - 2021
SP  - 307
EP  - 322
VL  - 46
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2021_46_4_a0/
LA  - en
ID  - SMJ2_2021_46_4_a0
ER  - 
%0 Journal Article
%A Ajai, Ajai
%T Cyclic pentagons and hexagons with integer sides, diagonals and areas
%J Serdica Mathematical Journal
%D 2021
%P 307-322
%V 46
%N 4
%U http://geodesic.mathdoc.fr/item/SMJ2_2021_46_4_a0/
%G en
%F SMJ2_2021_46_4_a0