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math.MG2020
Poristic virtues of a negative pedal curve
L. G. Gheorghe
We describe all triangles that shares either circumcircle and pedal circle or circumcircle and negative-pedal circle. Neither of these pairs is poristic; nevertheless, the negative…
math.MG2020★ 1 cited
When Euler (circle) meets Poncelet (Porism)
Liliana Gabriela Gheorghe
We describe all triangles that shares the same circumcircle and Euler circle. Although this two circles do not form a poristic pair of circles, we find a poristic circle "in-betwee…
math.DS2020
A Special Conic Associated with the Reuleaux Negative Pedal Curve
Liliana Gabriela Gheorghe, Dan Reznik
The Negative Pedal Curve of the Reuleaux Triangle w.r. to a point on its boundary consists of two elliptic arcs and a point . Interestingly, the conic passing through the…