The Jarebek Hyperbola - Isogonal Conjugate of the Euler Line

Drag point P along the Euler line to explore the nature of its isogonal conjugate known as the Jarabek Hyperbola. The Jarebek Hyperbola passes through the orthocenter and circumcenter. It is a rectangular hyperbola with asymptotes being the Simson lines of the intersection points of the circumcircle and Euler line.

 

Steve Phelps —

 
Resource Type
Activity
Tags
geometry  hyperbola  triangle 
Target Group (Age)
14 – 18
Language
English
 
 
GeoGebra version
5.0
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4190
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