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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3769
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