Construction in GCLC language

dim 120 120

point C 110 40
point M_{a} 65 40
point T_{b} 94.25 68.88

color 220 0 0
fontsize 11

cmark_b C
cmark_b M_{a}
cmark_rt T_{b}
color 0 0 0
fontsize 10


% Constructing a point B such that CB/CM_{a}=2
towards B C M_{a} 2 
cmark_b B
color 200 200 200
drawsegment C B 
color 0 0 0


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

color 200 200 200
drawline a
color 0 0 0



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

color 200 200 200
drawline b
color 0 0 0



% NDG:  point T_{b} is not incident to the line a
% Constructing a point P_{\_G35218} which is a foot of the point T_{b} on the line a
foot P_{\_G35218} T_{b} a 
cmark_r P_{\_G35218}
color 200 200 200
drawline T_{b} P_{\_G35218} 
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_{\_G35218}
circle k(T_{b},foot[T_{b},c]) T_{b} P_{\_G35218} 

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_{\_G35609} which is a foot of the point T_{b} on the line a
foot P_{\_G35609} T_{b} a 
cmark_r P_{\_G35609}
color 200 200 200
drawline T_{b} P_{\_G35609} 
color 0 0 0

% Constructing a line L_{\_G35612} which passes through point T_{b} and point B
line L_{\_G35612} T_{b} B 

color 200 200 200
drawline L_{\_G35612}
color 0 0 0


% Constructing a point P_{\_G35615} which is an image of the point P_{\_G35609} in the symmetry to point/line L_{\_G35612}
sim P_{\_G35615} L_{\_G35612} P_{\_G35609} 
cmark_r P_{\_G35615}

% Constructing a line c which passes through point B and point P_{\_G35615}
line c B P_{\_G35615} 

color 200 200 200
drawline c
color 0 0 0



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



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  lines c 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 a
% Determination conditions:  lines c and b are not the same; points C and T_{b} are not the same; points C and M_{a} are not the same