Taxicab Triangle Incircles and Circumcircles
Kevin P. Thompson
TL;DR
This paper explores inscribed angles in taxicab geometry, focusing on the existence and uniqueness of inscribed and circumscribed circles of triangles within this non-Euclidean framework.
Contribution
It introduces new results on the properties and conditions for taxicab circles inscribed in and circumscribed around triangles, expanding geometric understanding in taxicab geometry.
Findings
Characterization of inscribed taxicab circles
Conditions for the existence of circumscribed taxicab circles
Uniqueness criteria for taxicab circle configurations
Abstract
Inscribed angles are investigated in taxicab geometry with application to the existence and uniqueness of inscribed and circumscribed taxicab circles of triangles.
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Taxonomy
TopicsMathematics and Applications · Advanced Theoretical and Applied Studies in Material Sciences and Geometry · History and Theory of Mathematics