Construction in GCLC language

dim 120 120

point C 110 40
point H_{b} 89.36 77.83
point T_{c} 55.38 72.43

color 220 0 0
fontsize 11

cmark_b C
cmark_rt H_{b}
cmark_lt T_{c}
color 0 0 0
fontsize 10

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

color 200 200 200
drawline b
color 0 0 0




% Constructing a line h_{b} which is perpendicular to line b and which passes through point H_{b}
perp h_{b} H_{b} b 

color 200 200 200
drawline h_{b}
color 0 0 0



% NDG:  point T_{c} is not incident to the line b
% Constructing a point P_{\_G55674} which is a foot of the point T_{c} on the line b
foot P_{\_G55674} T_{c} b 
cmark_r P_{\_G55674}
color 200 200 200
drawline T_{c} P_{\_G55674} 
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_{\_G55674}
circle k(T_{c},foot[T_{c},b]) T_{c} P_{\_G55674} 

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_{\_G56065} which is a foot of the point T_{c} on the line b
foot P_{\_G56065} T_{c} b 
cmark_r P_{\_G56065}
color 200 200 200
drawline T_{c} P_{\_G56065} 
color 0 0 0

% Constructing a line L_{\_G56068} which passes through point T_{c} and point C
line L_{\_G56068} T_{c} C 

color 200 200 200
drawline L_{\_G56068}
color 0 0 0


% Constructing a point P_{\_G56071} which is an image of the point P_{\_G56065} in the symmetry to point/line L_{\_G56068}
sim P_{\_G56071} L_{\_G56068} P_{\_G56065} 
cmark_r P_{\_G56071}

% Constructing a line a which passes through point C and point P_{\_G56071}
line a C P_{\_G56071} 

color 200 200 200
drawline a
color 0 0 0



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


% 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:  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; lines a and h_{b} 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 b
% Determination conditions:  lines b and c are not the same; points T_{c} and B are not the same; lines a and h_{b} are not the same; points C and H_{b} are not the same