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A Note on Tangential Quadrilaterals

Published

Author(s)

Pradeep Das, Abhishek Juyal, Dustin Moody

Abstract

A tangential quadrilateral is a convex quadrilateral whose sides are simultaneously tangent to a single circle. In this paper, the primary objective is to construct rational tangen- tial quadrilaterals characterized by having rational area, as well as rational side and diagonal lengths. We relate the existence of such tangential quadrilaterals to properties of a certain ellip- tic curve. Studying the curve, we are able to construct an infinite family of rational tangential quadrilaterals.
Citation
Quaestiones Mathematicae

Keywords

Tangential Quadrilateral, Rational Quadrilateral, Elliptic Curve

Citation

Das, P. , Juyal, A. and Moody, D. (2024), A Note on Tangential Quadrilaterals, Quaestiones Mathematicae, [online], https://doi.org/10.2989/16073606.2024.2396026, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=957078 (Accessed December 8, 2024)

Issues

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Created September 2, 2024, Updated September 3, 2024