Construction in GCLC language

dim 120 120

point B 20 40
point H_{b} 89.36 77.83
point T_{c} 55.38 72.43

color 220 0 0
fontsize 11

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

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

color 200 200 200
drawline h_{b}
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




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

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


% NDG:  points A and B are not the same; points B and T_{c} are not the same; points B and midpoint([A,T_{c}]) are not the same
% Constructing a point P_{\_G22792} which is an image of the point B in a rotation around the point T_{c} for the angle 90
rotate P_{\_G22792} T_{c} 90 B 
cmark_r P_{\_G22792}
color 200 200 200
drawarc_p T_{c} B 90 
color 0 0 0

% Constructing a line L_{\_G22795} which passes through point T_{c} and point P_{\_G22792}
line L_{\_G22795} T_{c} P_{\_G22792} 

color 200 200 200
drawline L_{\_G22795}
color 0 0 0


% Constructing midpoint P_{\_G22798} of the segment BP_{\_G22792}
midpoint P_{\_G22798} B P_{\_G22792} 
cmark_r P_{\_G22798}

% Constructing a line L_{\_G22801} which passes through point A and point P_{\_G22798}
line L_{\_G22801} A P_{\_G22798} 

color 200 200 200
drawline L_{\_G22801}
color 0 0 0


% Constructing a line L_{\_G22804} which passes through point B and point P_{\_G22798}
line L_{\_G22804} B P_{\_G22798} 

color 200 200 200
drawline L_{\_G22804}
color 0 0 0


% Constructing a point P_{\_G22807} which belongs to line L_{\_G22795} and line L_{\_G22801}
intersec P_{\_G22807} L_{\_G22795} L_{\_G22801} 
cmark_r P_{\_G22807}

% Constructing a point P_{\_G22810} which belongs to line L_{\_G22795} and line L_{\_G22804}
intersec P_{\_G22810} L_{\_G22795} L_{\_G22804} 
cmark_r P_{\_G22810}

% Constructing a line L_{\_G22813} which passes through point A and point P_{\_G22810}
line L_{\_G22813} A P_{\_G22810} 

color 200 200 200
drawline L_{\_G22813}
color 0 0 0


% Constructing a line L_{\_G22816} which passes through point B and point P_{\_G22807}
line L_{\_G22816} B P_{\_G22807} 

color 200 200 200
drawline L_{\_G22816}
color 0 0 0


% Constructing a point P_{\_G22819} which belongs to line L_{\_G22813} and line L_{\_G22816}
intersec P_{\_G22819} L_{\_G22813} L_{\_G22816} 
cmark_r P_{\_G22819}

% Constructing a line L_{\_G22822} which passes through point P_{\_G22798} and point P_{\_G22819}
line L_{\_G22822} P_{\_G22798} P_{\_G22819} 

color 200 200 200
drawline L_{\_G22822}
color 0 0 0


% Constructing a point T`_{c} which belongs to line L_{\_G22822} and line c
intersec T`_{c} L_{\_G22822} c 
cmark_r T`_{c}


% NDG:  points T_{c} and T`_{c} are not the same
% Constructing midpoint P_{\_G23653} of the segment T_{c}T`_{c}
midpoint P_{\_G23653} T_{c} T`_{c} 
cmark_r P_{\_G23653}

% Constructing a circle k_over(T_{c},T`_{c}) whose center is at point P_{\_G23653} and which passes through point T_{c}
circle k_over(T_{c},T`_{c}) P_{\_G23653} T_{c} 

color 200 200 200
drawcircle k_over(T_{c},T`_{c})
color 0 0 0



% NDG:  line b and circle k_over(T_{c},T`_{c}) intersect
% Constructing points C_{wa} and C which are in intersection of k_over(T_{c},T`_{c}) and b
intersec2 C_{wa} C k_over(T_{c},T`_{c}) b 
cmark_r C_{wa}
cmark_b C



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  line b and circle k_over(T_{c},T`_{c}) intersect; points T_{c} and T`_{c} are not the same; points A and B are not the same; points B and T_{c} are not the same; points B and midpoint([A,T_{c}]) are not the same; lines b and c are not parallel
% Determination conditions:  lines b and c are not the same; points B and T_{c} are not the same; points B and H_{b} are not the same