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- W3100898584 abstract "By the theory of elliptic curves, we show that there are infinitely many integral right triangle-perpendicular quadrilateral, integral isosceles triangle-perpendicular quadrilateral, and Heron triangle-perpendicular quadrilateral pairs with a common area and a common perimeter. Moreover, for the elliptic curve associated to integral isosceles triangle and integral perpendicular quadrilateral pairs, we present several subfamilies of rank $geq 4$, and show the existence of infinitely many elliptic curves of rank $geq 5$, parameterized by the points of an elliptic curve of positive rank." @default.
- W3100898584 created "2020-11-23" @default.
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- W3100898584 date "2020-12-01" @default.
- W3100898584 modified "2023-09-25" @default.
- W3100898584 title "Integral triangles and perpendicular quadrilateral pairs with a common area and a common perimeter" @default.
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- W3100898584 doi "https://doi.org/10.7169/facm/1842" @default.
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