Geodesic
On Pepe Trapezoids
Journal for geometry and graphics, Tome 25 (2021) no. 1, pp. 71-78 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 
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     author = {T. H. S. Li },
     title = {On {Pepe} {Trapezoids}},
     journal = {Journal for geometry and graphics},
     pages = {71--78},
     year = {2021},
     volume = {25},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a6/}
}
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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/