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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…
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…
The Shape of Central Quadrilaterals
Stanley Rabinowitz, Ercole Suppa
The diagonals of a quadrilateral form four component triangles (in two ways). For each of various shaped quadrilaterals, we examine 1000 triangle centers located in these four comp…
Computer Investigation of Properties of the Gergonne Point of a Triangle
Stanley Rabinowitz, Ercole Suppa
The incircle of a triangle touches the sides of the triangle in three points. It is well known that the lines from these points to the opposite vertices meet at a point known as th…