Let 
be a triangle, let 
is the incenter and 
the first and the secon Fermat points. Construct circle with center and radii 
, 
is radii of incircle. This circle meet three sie 
at 
. Prove that:
Define:
are center of three circles 
. Define: 
are center of three circles 
1-
is an equilateral triangle.
2-
is an equilateral triangle.
3- homothetic the first Isodynamic Equileteral triangle (respectively with 
)
4- homothetic the secon Isodynamic Equileteral triangle (respectively with 
)
5- perspective with the first Napoleon Equileteral triangle (respectively with 
)
6- perspective with the secon Napoleon Equilateral triangle (respectively with 
)
is an equilateral triangle.2-
is an equilateral triangle.3-
homothetic the first Isodynamic Equileteral triangle (respectively with )4-
homothetic the secon Isodynamic Equileteral triangle (respectively with )5-
perspective with the first Napoleon Equileteral triangle (respectively with )6-
perspective with the secon Napoleon Equilateral triangle (respectively with )
Không có nhận xét nào:
Đăng nhận xét