4 papers
A Triad of Circles Associated with a Triangle
Ercole Suppa, Stanley Rabinowitz
We study some properties of a triad of circles associated with a triangle. Each circle is inside the triangle, tangent to two sides of the triangle, and externally tangent to the c…
Properties of Ajima Circles
Stanley Rabinowitz, Ercole Suppa
We study properties of certain circles associated with a triangle. Each circle is inside the triangle, tangent to two sides of the triangle, and externally tangent to the arc of a…
Inequalities For Distances Between Triangle Centers
Stanley Rabinowitz
In his seminal paper on triangle centers, Clark Kimberling made a number of conjectures concerning the distances between triangle centers. For example, if denotes the dis…
Relationships between a Central Quadrilateral and its Reference Quadrilateral
Stanley Rabinowitz, Ercole Suppa
Let P be a point inside a convex quadrilateral ABCD. The lines from P to the vertices of the quadrilateral divide the quadrilateral into four triangles. If we locate a triangle cen…