Some Geometric Properties of the Yff Points of a Triangle
Stanley Rabinowitz, Francisco Javier Garc\'ia Capit\'an
TL;DR
This paper explores new geometric properties of the Yff points in triangles, discovered and verified through computational methods, expanding understanding of these classical triangle centers.
Contribution
The paper introduces new geometric properties of Yff points for various triangles, discovered and validated using computer-aided proofs.
Findings
New geometric properties of Yff points identified.
Properties verified for different triangle shapes.
Enhanced understanding of Yff points' behavior.
Abstract
The Yff points of a triangle were introduced by Peter Yff in 1963. Since then, very few new facts have been discovered about these points. We present some geometrical properties of the Yff points of various shaped triangles which were discovered and proved by computer.
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Taxonomy
TopicsMathematics and Applications · Point processes and geometric inequalities · Sports Dynamics and Biomechanics