Patrick Morton

activity

20172021

most citedAffine Maps and Feuerbach'sTheorem

1 citations · 1 across the 4 of their papers we have counts for

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math.MG2017★ 1 cited

Affine Maps and Feuerbach'sTheorem

Patrick Morton

We give an affine proof of Feuerbach's theorem, by constructing an explicit affine map which takes the nine-point circle of any given Euclidean triangle to the incircle and fixes t…

math.GM2017

Real elliptic curves and cevian geometry

Igor Minevich, Patrick Morton

We study the elliptic curve $E_{a} : (a x + 1) y^{2} + (a x + 1) (x - 1) y + x^{2} - x = 0$ , which we call the geometric normal form of an elliptic curve. We show that any elliptic curve whose $j$ -invariant…