A Class of Orthohomological Triangles

TL;DR

This paper characterizes a specific class of triangles that are orthohomological with a given triangle and inscribed within it, expanding geometric understanding of these special configurations.

Contribution

It introduces and describes the class of triangles inscribed in a given triangle that are orthohomological to it, providing a new geometric characterization.

Findings

Identifies the conditions for triangles inscribed in a given triangle to be orthohomological.

Provides a geometric description of the class of such triangles.

Enhances understanding of orthohomological relationships in triangle geometry.

Abstract

In this article we determine the class of triangles $A_iB_iC_i$ which are orthohomological with a given triangle $ABC$ and inscribed in the triangle $ABC$ (with $A_i \in BC$, $B_i \in CA$ and $C_i \in AB$).