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 2016Show all

3 papers · 1 filter

math.MG2016★ 1 cited

Synthetic foundations of cevian geometry, IV: the TCC-perspector theorem

Igor Minevich, Patrick Morton

In this paper we give a completely synthetic proof of the TCC-perspector theorem, that the isogonal conjugate $γ (H)$ of the generalized orthocenter $H$ (defined in Part III of this…

math.HO2016

A cevian locus and the geometric construction of a special elliptic curve

Igor Minevich, Patrick Morton

In a previous paper we defined the circumconic of a triangle $A B C$ with respect to a point $P$ as the conic $C ~ = T_{P^{'}}^{- 1} (N_{P^{'}})$ , where $N_{P^{'}}$ is the $9$ -point conic fo…

math.MG2016★ 2 cited

Vertex positions of the generalized orthocenter and a related elliptic curve

Igor Minevich, Patrick Morton

We study triangles $A B C$ and points $P$ for which the generalized orthocenter $H$ corresponding to $P$ coincides with a vertex $A, B$ , or $C$ . The set of all such points $P$ is a un…