Isogonal Conjugate of Line Through the Circumcenter

Take any line through the circumcenter, intersecting the circumcircle in antipodal points D and D'. The locus of the isogonal conjugates of this line is a rectangular hyperbola through the vertices and orthocenter. The asymptotes are the Simson lines of the two antipodal points. Please download this sketch to see the construction.

 

Steve Phelps

 
Typ materiálu
Aktivita
Klíčová slova
triangle 
Cílová skupina (věk)
14 – 18
Jazyk
English
 
 
Verze GeoGebry
5.0
Zobrazení
3948
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