Some problems of seven circle 2

Let six points A,B,C,A', B', C' lie on a circle. B'C' meet AB,AC at Ac,Ab respectively. B'A' meets CA,CB at Cb,Ca reslpectively. A'B' meets BA,BC at Bc,Ba respectively. Six circles (AAbAc), (B'AbCb), (CCbCa), (A'CaCb), (BBcBa), (C'AcBa) meets (O) again at A1,B'1,C1,A'1,B1,C'1 respectively. a- Then A1A'1; B1B1'; C1C'1 are concurrent b-AA' meets A1A'1 at A2; BB' meets B1B'1 at B2; CC' meets C1C'1 at C2. Then A2,B2,C2 are collinear

 

Đào Thanh Oai

 
Material Type
Activity
Tags
thebault  tangential  circle  quadrilateral  triangle  collinear  midpoints  perpendicular  dao  thanh  oai cyclic concyclic theorem Show More…
Target Group (Age)
19+
Language
English (United Kingdom)
 
 
GeoGebra version
4.4
Views
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