Published
September 2, 2024
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 September 4, 2024)
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