Construction in GCLC language

dim 120 120

point A 80 95
point B 20 40
point T_{a} 70.86 40

color 220 0 0
fontsize 11

cmark_t A
cmark_b B
cmark_b T_{a}
color 0 0 0
fontsize 10

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

color 200 200 200
drawline c
color 0 0 0



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

color 200 200 200
drawline a
color 0 0 0



% NDG:  point T_{a} is not incident to the line c
% Constructing a point P_{\_G7214} which is a foot of the point T_{a} on the line c
foot P_{\_G7214} T_{a} c 
cmark_r P_{\_G7214}
color 200 200 200
drawline T_{a} P_{\_G7214} 
color 0 0 0

% Constructing a circle k(T_{a},foot[T_{a},c]) whose center is at point T_{a} and which passes through point P_{\_G7214}
circle k(T_{a},foot[T_{a},c]) T_{a} P_{\_G7214} 

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



% NDG:  point A is outside the circle k(T_{a},foot[T_{a},c])
% Constructing a point P_{\_G7605} which is a foot of the point T_{a} on the line c
foot P_{\_G2088} T_{a} c 
cmark_r P_{\_G2088}
color 200 200 200
drawline T_{a} P_{\_G2088} 
color 0 0 0

% Constructing a line L_{\_G7608} which passes through point T_{a} and point A
line L_{\_G2091} T_{a} A 

color 200 200 200
drawline L_{\_G2091}
color 0 0 0


% Constructing a point P_{\_G7611} which is an image of the point P_{\_G7605} in the symmetry to point/line L_{\_G7608}
sim P_{\_G2094} L_{\_G2091} P_{\_G2088} 
cmark_r P_{\_G2094}

% Constructing a line b which passes through point A and point P_{\_G2094}
line b A P_{\_G2094} 

color 200 200 200
drawline b
color 0 0 0



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



drawsegment A B
drawsegment A C
drawsegment B C

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