Construction in GCLC language

dim 120 120

point C 110 40
point M_{a} 65 40
point T_{c} 55.38 72.43

color 220 0 0
fontsize 11

cmark_b C
cmark_b M_{a}
cmark_lt T_{c}
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 T_{c} and B are not the same
% Constructing a line c which passes through point T_{c} and point B
line c T_{c} B 

color 200 200 200
drawline c
color 0 0 0



% NDG:  point T_{c} is not incident to the line a
% Constructing a point P_{\_G58648} which is a foot of the point T_{c} on the line a
foot P_{\_G58648} T_{c} a 
cmark_r P_{\_G58648}
color 200 200 200
drawline T_{c} P_{\_G58648} 
color 0 0 0

% Constructing a circle k(T_{c},foot[T_{c},b]) whose center is at point T_{c} and which passes through point P_{\_G58648}
circle k(T_{c},foot[T_{c},b]) T_{c} P_{\_G58648} 

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



% NDG:  point C is outside the circle k(T_{c},foot[T_{c},b])
% Constructing a point P_{\_G59039} which is a foot of the point T_{c} on the line a
foot P_{\_G59039} T_{c} a 
cmark_r P_{\_G59039}
color 200 200 200
drawline T_{c} P_{\_G59039} 
color 0 0 0

% Constructing a line L_{\_G59042} which passes through point T_{c} and point C
line L_{\_G59042} T_{c} C 

color 200 200 200
drawline L_{\_G59042}
color 0 0 0


% Constructing a point P_{\_G59045} which is an image of the point P_{\_G59039} in the symmetry to point/line L_{\_G59042}
sim P_{\_G59045} L_{\_G59042} P_{\_G59039} 
cmark_r P_{\_G59045}

% Constructing a line b which passes through point C and point P_{\_G59045}
line b C P_{\_G59045} 

color 200 200 200
drawline b
color 0 0 0



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



drawsegment A B
drawsegment A C
drawsegment B C

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