Another generalization of the Simson line theorem_By Ngo Quang Duong

Let ABC be a triangle, P be a point in the plane. Let abitrary line through P and meets (BPC), (CPA), (APB) again at A', B', C' respectively. Then three line through A', B', C' and perpendicular to BC, CA, AB meet BC, CA, AB respectively at A'', B'', C''. Then A'', B'', C'' are collinear.

 

Đào Thanh Oai

 
Type de ressources
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Balises
circle  class  collection  triangles 
Tranche d'âges
0 – 19+
Langue
English
 
 
 
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