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- Title
PROJECTIVITIES AND CIRCUMCONICS OF A TRIANGLE.
- Authors
PAMFILOS, PARIS
- Abstract
In this article we study some conics defined by a projectivity of the plane, which has precisely three ordinary fixed points. We discuss the mutual relations between these conics and the defining them projectivity and prove a characterization of these projectivities reducing their definition to a circle and five distinct points on it. The subject represents a link between projective geometry of the plane and Euclidean geometry, showing in particular an intimate relation between conics circumscribing a triangle and generic projectivities.
- Subjects
EUCLIDEAN geometry; PROJECTIVE geometry; PROJECTIVE planes; PLANE geometry; TRIANGLES; CIRCLE
- Publication
International Journal of Geometry, 2023, Vol 12, Issue 4, p64
- ISSN
2247-9880
- Publication type
Article