Construction in GCLC language

dim 120 120

point C 110 40
point H_{b} 89.36 77.83
point T_{a} 70.86 40

color 220 0 0
fontsize 11

cmark_b C
cmark_rt H_{b}
cmark_b T_{a}
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



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

color 200 200 200
drawline a
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:  lines h_{b} and a are not parallel% DET:  lines h_{b} and a are not the same
% Constructing a point B which belongs to line h_{b} and line a
intersec B h_{b} a 
cmark_b B


% NDG:  points B and C are not the same; points C and T_{a} are not the same; points C and midpoint([B,T_{a}]) are not the same
% Constructing a point P_{\_G46839} which is an image of the point C in a rotation around the point T_{a} for the angle 90
rotate P_{\_G46839} T_{a} 90 C 
cmark_r P_{\_G46839}
color 200 200 200
drawarc_p T_{a} C 90 
color 0 0 0

% Constructing a line L_{\_G46842} which passes through point T_{a} and point P_{\_G46839}
line L_{\_G46842} T_{a} P_{\_G46839} 

color 200 200 200
drawline L_{\_G46842}
color 0 0 0


% Constructing midpoint P_{\_G46845} of the segment CP_{\_G46839}
midpoint P_{\_G46845} C P_{\_G46839} 
cmark_r P_{\_G46845}

% Constructing a line L_{\_G46848} which passes through point B and point P_{\_G46845}
line L_{\_G46848} B P_{\_G46845} 

color 200 200 200
drawline L_{\_G46848}
color 0 0 0


% Constructing a line L_{\_G46851} which passes through point C and point P_{\_G46845}
line L_{\_G46851} C P_{\_G46845} 

color 200 200 200
drawline L_{\_G46851}
color 0 0 0


% Constructing a point P_{\_G46854} which belongs to line L_{\_G46842} and line L_{\_G46848}
intersec P_{\_G46854} L_{\_G46842} L_{\_G46848} 
cmark_r P_{\_G46854}

% Constructing a point P_{\_G46857} which belongs to line L_{\_G46842} and line L_{\_G46851}
intersec P_{\_G46857} L_{\_G46842} L_{\_G46851} 
cmark_r P_{\_G46857}

% Constructing a line L_{\_G46860} which passes through point B and point P_{\_G46857}
line L_{\_G46860} B P_{\_G46857} 

color 200 200 200
drawline L_{\_G46860}
color 0 0 0


% Constructing a line L_{\_G46863} which passes through point C and point P_{\_G46854}
line L_{\_G46863} C P_{\_G46854} 

color 200 200 200
drawline L_{\_G46863}
color 0 0 0


% Constructing a point P_{\_G46866} which belongs to line L_{\_G46860} and line L_{\_G46863}
intersec P_{\_G46866} L_{\_G46860} L_{\_G46863} 
cmark_r P_{\_G46866}

% Constructing a line L_{\_G46869} which passes through point P_{\_G46845} and point P_{\_G46866}
line L_{\_G46869} P_{\_G46845} P_{\_G46866} 

color 200 200 200
drawline L_{\_G46869}
color 0 0 0


% Constructing a point T`_{a} which belongs to line L_{\_G46869} and line a
intersec T`_{a} L_{\_G46869} a 
cmark_r T`_{a}


% NDG:  points T_{a} and T`_{a} are not the same
% Constructing midpoint P_{\_G47700} of the segment T_{a}T`_{a}
midpoint P_{\_G47700} T_{a} T`_{a} 
cmark_r P_{\_G47700}

% Constructing a circle k_over(T_{a},T`_{a}) whose center is at point P_{\_G47700} and which passes through point T_{a}
circle k_over(T_{a},T`_{a}) P_{\_G47700} T_{a} 

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



% NDG:  line b and circle k_over(T_{a},T`_{a}) intersect
% Constructing points A_{wc} and A which are in intersection of k_over(T_{a},T`_{a}) and b
intersec2 A_{wc} A k_over(T_{a},T`_{a}) b 
cmark_r A_{wc}
cmark_t A



drawsegment A B
drawsegment A C
drawsegment B C

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