Construction in GCLC language

dim 120 120

point A 80 95
point M_{c} 50 67.5
point T_{b} 94.25 68.88

color 220 0 0
fontsize 11

cmark_t A
cmark_lt M_{c}
cmark_rt T_{b}
color 0 0 0
fontsize 10


% Constructing a point B such that AB/AM_{c}=2
towards B A M_{c} 2 
cmark_b B
color 200 200 200
drawsegment A B 
color 0 0 0


% DET:  points A and M_{c} are not the same
% Constructing a line c which passes through point A and point M_{c}
line c A M_{c} 

color 200 200 200
drawline c
color 0 0 0



% DET:  points A and T_{b} are not the same
% Constructing a line b which passes through point A and point T_{b}
line b A T_{b} 

color 200 200 200
drawline b
color 0 0 0



% NDG:  point T_{b} is not incident to the line c
% Constructing a point P_{\_G14804} which is a foot of the point T_{b} on the line c
foot P_{\_G14804} T_{b} c 
cmark_r P_{\_G14804}
color 200 200 200
drawline T_{b} P_{\_G14804} 
color 0 0 0

% Constructing a circle k(T_{b},foot[T_{b},c]) whose center is at point T_{b} and which passes through point P_{\_G14804}
circle k(T_{b},foot[T_{b},c]) T_{b} P_{\_G14804} 

color 200 200 200
drawcircle k(T_{b},foot[T_{b},c])
color 0 0 0



% NDG:  point B is outside the circle k(T_{b},foot[T_{b},c])
% Constructing a point P_{\_G15195} which is a foot of the point T_{b} on the line c
foot P_{\_G15195} T_{b} c 
cmark_r P_{\_G15195}
color 200 200 200
drawline T_{b} P_{\_G15195} 
color 0 0 0

% Constructing a line L_{\_G15198} which passes through point T_{b} and point B
line L_{\_G15198} T_{b} B 

color 200 200 200
drawline L_{\_G15198}
color 0 0 0


% Constructing a point P_{\_G15201} which is an image of the point P_{\_G15195} in the symmetry to point/line L_{\_G15198}
sim P_{\_G15201} L_{\_G15198} P_{\_G15195} 
cmark_r P_{\_G15201}

% Constructing a line a which passes through point B and point P_{\_G15201}
line a B P_{\_G15201} 

color 200 200 200
drawline a
color 0 0 0



% NDG:  lines a and b are not parallel% DET:  lines a and b are not the same
% Constructing a point C which belongs to line a and line b
intersec C a b 
cmark_b C



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  lines a and b are not parallel; point B is outside the circle k(T_{b},foot[T_{b},c]); point T_{b} is not incident to the line c
% Determination conditions:  lines a and b are not the same; points A and T_{b} are not the same; points A and M_{c} are not the same