Construction in GCLC language

dim 120 120

point B 20 40
point H_{c} 68.91 84.83
point T_{a} 70.86 40

color 220 0 0
fontsize 11

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

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

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




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


% 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_{\_G25343} which is an image of the point C in a rotation around the point T_{a} for the angle 90
rotate P_{\_G25343} T_{a} 90 C 
cmark_r P_{\_G25343}
color 200 200 200
drawarc_p T_{a} C 90 
color 0 0 0

% Constructing a line L_{\_G25346} which passes through point T_{a} and point P_{\_G25343}
line L_{\_G25346} T_{a} P_{\_G25343} 

color 200 200 200
drawline L_{\_G25346}
color 0 0 0


% Constructing midpoint P_{\_G25349} of the segment CP_{\_G25343}
midpoint P_{\_G25349} C P_{\_G25343} 
cmark_r P_{\_G25349}

% Constructing a line L_{\_G25352} which passes through point B and point P_{\_G25349}
line L_{\_G25352} B P_{\_G25349} 

color 200 200 200
drawline L_{\_G25352}
color 0 0 0


% Constructing a line L_{\_G25355} which passes through point C and point P_{\_G25349}
line L_{\_G25355} C P_{\_G25349} 

color 200 200 200
drawline L_{\_G25355}
color 0 0 0


% Constructing a point P_{\_G25358} which belongs to line L_{\_G25346} and line L_{\_G25352}
intersec P_{\_G25358} L_{\_G25346} L_{\_G25352} 
cmark_r P_{\_G25358}

% Constructing a point P_{\_G25361} which belongs to line L_{\_G25346} and line L_{\_G25355}
intersec P_{\_G25361} L_{\_G25346} L_{\_G25355} 
cmark_r P_{\_G25361}

% Constructing a line L_{\_G25364} which passes through point B and point P_{\_G25361}
line L_{\_G25364} B P_{\_G25361} 

color 200 200 200
drawline L_{\_G25364}
color 0 0 0


% Constructing a line L_{\_G25367} which passes through point C and point P_{\_G25358}
line L_{\_G25367} C P_{\_G25358} 

color 200 200 200
drawline L_{\_G25367}
color 0 0 0


% Constructing a point P_{\_G25370} which belongs to line L_{\_G25364} and line L_{\_G25367}
intersec P_{\_G25370} L_{\_G25364} L_{\_G25367} 
cmark_r P_{\_G25370}

% Constructing a line L_{\_G25373} which passes through point P_{\_G25349} and point P_{\_G25370}
line L_{\_G25373} P_{\_G25349} P_{\_G25370} 

color 200 200 200
drawline L_{\_G25373}
color 0 0 0


% Constructing a point T`_{a} which belongs to line L_{\_G25373} and line a
intersec T`_{a} L_{\_G25373} a 
cmark_r T`_{a}


% NDG:  points T_{a} and T`_{a} are not the same
% Constructing midpoint P_{\_G26204} of the segment T_{a}T`_{a}
midpoint P_{\_G26204} T_{a} T`_{a} 
cmark_r P_{\_G26204}

% Constructing a circle k_over(T_{a},T`_{a}) whose center is at point P_{\_G26204} and which passes through point T_{a}
circle k_over(T_{a},T`_{a}) P_{\_G26204} T_{a} 

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



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



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  line c 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_{c} and a are not parallel
% Determination conditions:  lines h_{c} and a are not the same; points B and T_{a} are not the same; points B and H_{c} are not the same