Some problem around Thebault configuration

Let ABC be a triangle, C1 lie on BC. Circle (N) tangent AC1 at H, tangent tangent BC at M, tangent circumcircle ABC at T. Circle (N1) tangent AC at H1, tangent tangent BC at M1, tangent circumcircle (ABC1) at T1. 1-Prove that M1 ≡ M 2-Since http://www.cut-the-knot.org/Curriculum/Geometry/GeoGebra/OlegGolberg.shtml We have AHIT cyclic and AE'H1T1 cyclic but problem is: (AHIT ) and (AE'H1T1 ) one circle. We away know I and E' => This problem show that away construct circle (N) and (N1)

 

Đào Thanh Oai

 
Material Type
Activity
Tags
theorem  circle  problem  geometry  new  concurrent  collinear 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.2
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981
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