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 26, 2024)
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A Note on Tangential Quadrilaterals
Published
Author(s)
Pradeep Das, Abhishek Juyal,
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
Pub Type
Journals
Download Paper
Keywords
Tangential Quadrilateral, Rational Quadrilateral, Elliptic Curve
Citation
Issues
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Created September 2, 2024, Updated September 3, 2024