3 citations · 5 across the 2 of their papers we have counts for
5 papers
On Parametric Spaces of Bicentric Quadrilaterals
Farzali Izadi, Foad Khoshnam, Allan J. MacLeod +1
In Euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both a circumcircle passing through the four vertices and an incircle having the four sides as t…
Heron Quadrilaterals via elliptic curves
Farzali Izadi, Foad Khoshnam, Dustin Moody
A Heron quadrilateral is a cyclic quadrilateral whose area and side lengths are rational. In this work, we establish a correspondence between Heron quadrilaterals and a family of e…
Rank of elliptic curves associated to the Brahmagupta quadrilaterals
Farzali Izadi, Foad Khoshnam, Arman Shamsi Zargar
In this paper, we construct a family of elliptic curves of rank at least five. To do so, we use the Brahmagupta formula for the area of cyclic quadrilaterals no…
A new family of elliptic curves with positive ranks arising from the Heron triangles
F. A. Izadi, Foad Khoshnam, K. Nabardi
The aim of this paper is to introduce a new family of elliptic curves with positive ranks. These elliptic curves have been constructed with certain rational numbers, namely a, b, a…
On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples
F. A. Izadi, K. Nabardi, Foad Khoshnam
The aim of this paper is to introduce a new family of elliptic curves in the form of that have positive ranks. We first generate a list of pythagorean triples…