Construction in GCLC language

dim 120 120

point A 80 95
point H_{c} 68.91 84.83
point T_{a} 70.86 40

color 220 0 0
fontsize 11

cmark_t A
cmark_lt H_{c}
cmark_b T_{a}
color 0 0 0
fontsize 10

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

color 200 200 200
drawline c
color 0 0 0




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

color 200 200 200
drawline h_{c}
color 0 0 0



% NDG:  point T_{a} is not incident to the line c
% Constructing a point P_{\_G28155} which is a foot of the point T_{a} on the line c
foot P_{\_G28155} T_{a} c 
cmark_r P_{\_G28155}
color 200 200 200
drawline T_{a} P_{\_G28155} 
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_{\_G28155}
circle k(T_{a},foot[T_{a},c]) T_{a} P_{\_G28155} 

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_{\_G28546} which is a foot of the point T_{a} on the line c
foot P_{\_G28546} T_{a} c 
cmark_r P_{\_G28546}
color 200 200 200
drawline T_{a} P_{\_G28546} 
color 0 0 0

% Constructing a line L_{\_G28549} which passes through point T_{a} and point A
line L_{\_G28549} T_{a} A 

color 200 200 200
drawline L_{\_G28549}
color 0 0 0


% Constructing a point P_{\_G28552} which is an image of the point P_{\_G28546} in the symmetry to point/line L_{\_G28549}
sim P_{\_G28552} L_{\_G28549} P_{\_G28546} 
cmark_r P_{\_G28552}

% Constructing a line b which passes through point A and point P_{\_G28552}
line b A P_{\_G28552} 

color 200 200 200
drawline b
color 0 0 0



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


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

color 200 200 200
drawline a
color 0 0 0



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



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  lines c and a are not parallel; lines b and h_{c} 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 c and a are not the same; points T_{a} and C are not the same; lines b and h_{c} are not the same; points A and H_{c} are not the same