arXiv subjects

Liliana Gheorghe

Publications and source records attributed to Liliana Gheorghe.

2 recordsLinked to original sources

arXiv2022

Triads of Conics Associated with a Triangle

We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we analyze. We give conditions for these to be circles and/or degenerate. In the latter case, we study the locus of their center.

math.MG↗

arXiv2022

Exploring the Steiner-Soddy Porism

We explore properties and loci of a Poncelet family of polygons -- called here Steiner-Soddy -- whose vertices are centers of circles in the Steiner porism, including conserved quantities, loci, and its relationship to other Poncelet families.

math.MG↗