Construction in GCLC language

dim 120 120

point C 110 40
point T_{b} 94.25 68.88
point I 74.37 61.15

color 220 0 0
fontsize 11

cmark_b C
cmark_rt T_{b}
cmark_b I
color 0 0 0
fontsize 10

% 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



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

color 200 200 200
drawline s_{b}
color 0 0 0



% NDG:  point I is not incident to the line b
% Constructing a point P_{\_G48110} which is a foot of the point I on the line b
foot P_{\_G48110} I b 
cmark_r P_{\_G48110}
color 200 200 200
drawline I P_{\_G48110} 
color 0 0 0

% Constructing a circle k(I,P_{a}) whose center is at point I and which passes through point P_{\_G48110}
circle k(I,P_{a}) I P_{\_G48110} 

color 200 200 200
drawcircle k(I,P_{a})
color 0 0 0



% NDG:  point C is outside the circle k(I,P_{a})
% Constructing a point P_{\_G48317} which is a foot of the point I on the line b
foot P_{\_G48317} I b 
cmark_r P_{\_G48317}
color 200 200 200
drawline I P_{\_G48317} 
color 0 0 0

% Constructing a line L_{\_G48320} which passes through point I and point C
line L_{\_G48320} I C 

color 200 200 200
drawline L_{\_G48320}
color 0 0 0


% Constructing a point P_{\_G48323} which is an image of the point P_{\_G48317} in the symmetry to point/line L_{\_G48320}
sim P_{\_G48323} L_{\_G48320} P_{\_G48317} 
cmark_r P_{\_G48323}

% Constructing a line a which passes through point C and point P_{\_G48323}
line a C P_{\_G48323} 

color 200 200 200
drawline a
color 0 0 0



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


% NDG:  point B is outside the circle k(I,P_{a})
% Constructing a point P_{\_G48709} which is a foot of the point I on the line a
foot P_{\_G48709} I a 
cmark_r P_{\_G48709}
color 200 200 200
drawline I P_{\_G48709} 
color 0 0 0

% Constructing a line L_{\_G48712} which passes through point I and point B
line L_{\_G48712} I B 

color 200 200 200
drawline L_{\_G48712}
color 0 0 0


% Constructing a point P_{\_G48715} which is an image of the point P_{\_G48709} in the symmetry to point/line L_{\_G48712}
sim P_{\_G48715} L_{\_G48712} P_{\_G48709} 
cmark_r P_{\_G48715}

% Constructing a line c which passes through point B and point P_{\_G48715}
line c B P_{\_G48715} 

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(I,P_{a}); lines a and s_{b} are not parallel; point C is outside the circle k(I,P_{a}); point I is not incident to the line b
% Determination conditions:  lines c and b are not the same; lines a and s_{b} are not the same; points T_{b} and I are not the same; points C and T_{b} are not the same