On lines in a triangle tangent to a conic
Pavel Dolgirev
TL;DR
This paper generalizes classical geometric theorems related to lines in a triangle tangent to a conic, providing synthetic proofs and extending known results in projective geometry.
Contribution
It introduces new generalizations of Kypert's construction and Morley's Centre, with a focus on synthetic geometric proofs.
Findings
Extended Kypert's construction theorems
Generalized 2nd Morley's Centre results
Synthetic proofs of geometric theorems
Abstract
We present generalizations of theorems on Kypert's construction and on 2nd Morley's Centre. Most of our proofs are synthetic.
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Taxonomy
TopicsMathematics and Applications · Advanced Theoretical and Applied Studies in Material Sciences and Geometry