2 citations · 8 across the 10 of their papers we have counts for
4 papers · 1 filter
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 of the generalized orthocenter (defined in Part III of this…
Vertex positions of the generalized orthocenter and a related elliptic curve
Igor Minevich, Patrick Morton
We study triangles and points for which the generalized orthocenter corresponding to coincides with a vertex , or . The set of all such points is a un…
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 corresponding to a point , with respect to triangle , as the unique point for which the li…
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 on the five points , where is a given ordinary triangle and is the isotomco…