TL;DR
This paper investigates the properties of four Hagge circles associated with the triangles formed by a cyclic quadrilateral, revealing shared features and geometric relationships among them.
Contribution
It provides a detailed analysis of the Hagge circles of a cyclic quadrilateral, highlighting their common features and geometric properties.
Findings
Hagge circles share many geometric features.
The circles are related through inverse similarity.
The paper characterizes the shared properties of these circles.
Abstract
The four Hagge circles of the triangles BCD, ACD, ABD, ABC of a cyclic quadrilateral ABCD with respect to an appropriate common axis of inverse similarity share many features which are analysed.
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Taxonomy
TopicsMathematics and Applications