Igor Minevich

activity

20122025

most citedVertex positions of the generalized orthocenter and a related elliptic curve

2 citations · 8 across the 10 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.MG2015★ 1 cited

Synthetic foundations of cevian geometry, III: The generalized orthocenter

Igor Minevich, Patrick Morton

In this paper, the third in the series, we define the generalized orthocenter $H$ corresponding to a point $P$ , with respect to triangle $A B C$ , as the unique point for which the li…

math.MG2015★ 2 cited

Synthetic foundations of cevian geometry II: The center of the cevian conic

Igor Minevich, Patrick Morton

This paper continues the investigation of Part I, by studying the conic $C_{P}$ on the five points $A B C P Q$ , where $A B C$ is a given ordinary triangle and $Q$ is the isotomco…

math.GM2015★ 1 cited

Synthetic foundations of cevian geometry, I: Fixed points of affine maps in triangle geometry

Igor Minevich, Patrick Morton

We give synthetic proofs of many new results in triangle geometry, focusing especially on fixed points of certain affine maps which are defined in terms of the cevian triangle $DEF…