On Pepe Trapezoids
Journal for geometry and graphics, Tome 25 (2021) no. 1, pp. 71-78.

Voir la notice de l'article provenant de la source Heldermann Verlag

We explore a special geometric figure, consisting of a trapezoid, the Pepe trapezoid, and an ellipse. The trapezoid is non-rectangular and has integer side lengths. The ellipse is non-circular, inscribed into the trapezoid, and has integer semi-axis lengths. We prove that there are infinitely many non-similar isosceles Pepe trapezoids, right-angled Pepe trapezoids and Pepe trapezoids in the form of parallelogram.
Classification : 51M04
Mots-clés : Trapezoid, ellipse
@article{JGG_2021_25_1_JGG_2021_25_1_a6,
     author = {T. H. S. Li },
     title = {On {Pepe} {Trapezoids}},
     journal = {Journal for geometry and graphics},
     pages = {71--78},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2021},
     url = {http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a6/}
}
TY  - JOUR
AU  - T. H. S. Li 
TI  - On Pepe Trapezoids
JO  - Journal for geometry and graphics
PY  - 2021
SP  - 71
EP  - 78
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a6/
ID  - JGG_2021_25_1_JGG_2021_25_1_a6
ER  - 
%0 Journal Article
%A T. H. S. Li 
%T On Pepe Trapezoids
%J Journal for geometry and graphics
%D 2021
%P 71-78
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a6/
%F JGG_2021_25_1_JGG_2021_25_1_a6
T. H. S. Li . On Pepe Trapezoids. Journal for geometry and graphics, Tome 25 (2021) no. 1, pp. 71-78. http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a6/