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20192022
most citedRelationships Between Circles Inscribed in Triangles and Related Curvilinear Triangles

2 citations · 5 across the 7 of their papers we have counts for

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math.HO20221 cited

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…

math.HO20221 cited

Catalog of Properties of the First Isodynamic Point of a Triangle

Stanley Rabinowitz

The first isodynamic point of a triangle is one of many notable points associated with a triangle. It is named X(15) in the Encyclopedia of Triangle Centers. This paper surveys kno…

math.HO2022

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…

math.HO20212 cited

Relationships Between Circles Inscribed in Triangles and Related Curvilinear Triangles

Stanley Rabinowitz

If P is a point inside triangle ABC, then the cevians through P extended to the circumcircle of triangle ABC create a figure containing a number of curvilinear triangles. Each curv…

math.HO2021

Arrangement of Central Points on the Faces of a Tetrahedron

Stanley Rabinowitz

We systematically investigate properties of various triangle centers (such as orthocenter or incenter) located on the four faces of a tetrahedron. For each of six types of tetrahed…

math.HO2019

Relationships Between Six Circumcircles

Stanley Rabinowitz

If is a point inside , then the cevians through divide into six small triangles. We give theorems about the relationships between the radii o…