Geometric characterizations of the cross ratio in a pencil of conics
Alexander Thomas
TL;DR
This paper introduces geometric methods within elementary projective geometry to determine the cross ratio of conics in a pencil, providing a new perspective on classical projective invariants.
Contribution
It offers novel geometric characterizations of the cross ratio in a pencil of conics, enhancing understanding of classical projective geometry concepts.
Findings
Geometric methods to compute cross ratios of conics
Elementary projective geometry techniques applied
New characterizations of conic pencils
Abstract
We give geometric ways to determine the cross ratio of conics in a pencil using elementary projective geometry.
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Taxonomy
TopicsMathematics and Applications · Computational Geometry and Mesh Generation