Construction in GCLC language

dim 120 120

point B 20 40
point C 110 40
point T_{c} 55.38 72.43

color 220 0 0
fontsize 11

cmark_b B
cmark_b C
cmark_lt T_{c}
color 0 0 0
fontsize 10

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

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_{\_G23222} which is a foot of the point T_{c} on the line a
foot P_{\_G23222} T_{c} a 
cmark_r P_{\_G23222}
color 200 200 200
drawline T_{c} P_{\_G23222} 
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_{\_G23222}
circle k(T_{c},foot[T_{c},b]) T_{c} P_{\_G23222} 

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_{\_G23613} which is a foot of the point T_{c} on the line a
foot P_{\_G23613} T_{c} a 
cmark_r P_{\_G23613}
color 200 200 200
drawline T_{c} P_{\_G23613} 
color 0 0 0

% Constructing a line L_{\_G23616} which passes through point T_{c} and point C
line L_{\_G23616} T_{c} C 

color 200 200 200
drawline L_{\_G23616}
color 0 0 0


% Constructing a point P_{\_G23619} which is an image of the point P_{\_G23613} in the symmetry to point/line L_{\_G23616}
sim P_{\_G23619} L_{\_G23616} P_{\_G23613} 
cmark_r P_{\_G23619}

% Constructing a line b which passes through point C and point P_{\_G23619}
line b C P_{\_G23619} 

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 C are not the same