Eight circles through the Orthocentre
Christopher Bradley
TL;DR
This paper presents a geometric construction involving five Hagge circles passing through the orthocentre of a triangle, supported by detailed calculations to demonstrate their properties.
Contribution
It introduces a novel construction of five Hagge circles passing through the orthocentre, expanding understanding of their geometric relationships.
Findings
Five Hagge circles constructed through the orthocentre
Supporting calculations verify the properties of the circles
Enhanced geometric understanding of Hagge circles and orthocentre
Abstract
A construction is given of five Hagge circles complete with supporting calculations.
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Taxonomy
TopicsMathematics and Applications