From the 1 of 5 linked papers with an AI index.
5 papers
Perspective Central Triangles Formed from a Triangle and a Transversal
Stanley Rabinowitz, Ercole Suppa
The paper investigates when a reference triangle and the triangle formed by placing a fixed triangle center in three subtriangles created by a transversal line are perspective, pro…
Natural Orderings of Triangle Centers
Stanley Rabinowitz
Triangle centers are usually studied individually or through special geometric relationships, but little attention has been given to global structure among them. In this paper we i…
Some Geometric Properties of the Yff Points of a Triangle
Stanley Rabinowitz, Francisco Javier GarcÃa Capitán
The Yff points of a triangle were introduced by Peter Yff in 1963. Since then, very few new facts have been discovered about these points. We present some geometrical properties of…
More Shapes of Central Quadrilaterals
Stanley Rabinowitz, Ercole Suppa
Let E be a point in the plane of a convex quadrilateral ABCD. The lines from E to the vertices of the quadrilateral form four triangles. If we locate a triangle center in each of t…
More Relationships between a Central Quadrilateral and its Reference Quadrilateral
Stanley Rabinowitz, Ercole Suppa
The diagonals of a quadrilateral form four associated triangles, called half triangles. Each half triangle is bounded by two sides of the quadrilateral and one diagonal. If we loca…