Reflections of the Orthocenter in Cevian Lines

Take any point P and reflect the orthcenter H in the cevians AP, BP, and CP producing Ha, Hb, and Hc. Circles APHa, BPHb, and CPHc intersect at Q, on the rectangular circumhyperbola through P and the fourth intersection with the circumcircle.

 

Steve Phelps

 
Tipo de recurso
Actividad
Etiquetas
geometry  orthocenter  reflection  triangle 
Grupo destino (edad)
14 – 18
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English
 
 
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