Construction in GCLC language

dim 120 120

point B 20 40
point M_{a} 65 40
point T_{c} 55.38 72.43

color 220 0 0
fontsize 11

cmark_b B
cmark_b M_{a}
cmark_lt T_{c}
color 0 0 0
fontsize 10


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


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

color 200 200 200
drawline a
color 0 0 0



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

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_{\_G30435} which is a foot of the point T_{c} on the line a
foot P_{\_G30435} T_{c} a 
cmark_r P_{\_G30435}
color 200 200 200
drawline T_{c} P_{\_G30435} 
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_{\_G30435}
circle k(T_{c},foot[T_{c},b]) T_{c} P_{\_G30435} 

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_{\_G30826} which is a foot of the point T_{c} on the line a
foot P_{\_G30826} T_{c} a 
cmark_r P_{\_G30826}
color 200 200 200
drawline T_{c} P_{\_G30826} 
color 0 0 0

% Constructing a line L_{\_G30829} which passes through point T_{c} and point C
line L_{\_G30829} T_{c} C 

color 200 200 200
drawline L_{\_G30829}
color 0 0 0


% Constructing a point P_{\_G30832} which is an image of the point P_{\_G30826} in the symmetry to point/line L_{\_G30829}
sim P_{\_G30832} L_{\_G30829} P_{\_G30826} 
cmark_r P_{\_G30832}

% Constructing a line b which passes through point C and point P_{\_G30832}
line b C P_{\_G30832} 

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 B and T_{c} are not the same; points B and M_{a} are not the same