A Construction to find any Circle through a Given Point
Christopher Bradley
TL;DR
This paper presents a geometric construction method that allows one to find any circle passing through a specific point, extending Hagge's construction for circles through the orthocenter to any point.
Contribution
The paper introduces a generalized construction technique for locating circles through any given point, broadening the scope of Hagge's classical construction.
Findings
The construction works for any point in the plane.
It generalizes Hagge's construction for the orthocenter.
The method is applicable to various geometric configurations.
Abstract
A construction similar to Hagge's construction for circles through the orthocentre is shown to apply for any point.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics