Construction in GCLC language

dim 120 120

point M_{a} 65 40
point H_{c} 68.91 84.83
point T_{a} 70.86 40

color 220 0 0
fontsize 11

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

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

color 200 200 200
drawline a
color 0 0 0



% NDG:  points H_{c} and M_{a} are not the same
% Constructing a circle k(M_{a},B) whose center is at point M_{a} and which passes through point H_{c}
circle k(M_{a},B) M_{a} H_{c} 

color 200 200 200
drawcircle k(M_{a},B)
color 0 0 0



% NDG:  line a and circle k(M_{a},B) intersect
% Constructing points B and C which are in intersection of k(M_{a},B) and a
intersec2 B C k(M_{a},B) a 
cmark_b B
cmark_b C


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

color 200 200 200
drawline c
color 0 0 0



% 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_{\_G43947} which is an image of the point C in a rotation around the point T_{a} for the angle 90
rotate P_{\_G43947} T_{a} 90 C 
cmark_r P_{\_G43947}
color 200 200 200
drawarc_p T_{a} C 90 
color 0 0 0

% Constructing a line L_{\_G43950} which passes through point T_{a} and point P_{\_G43947}
line L_{\_G43950} T_{a} P_{\_G43947} 

color 200 200 200
drawline L_{\_G43950}
color 0 0 0


% Constructing midpoint P_{\_G43953} of the segment CP_{\_G43947}
midpoint P_{\_G43953} C P_{\_G43947} 
cmark_r P_{\_G43953}

% Constructing a line L_{\_G43956} which passes through point B and point P_{\_G43953}
line L_{\_G43956} B P_{\_G43953} 

color 200 200 200
drawline L_{\_G43956}
color 0 0 0


% Constructing a line L_{\_G43959} which passes through point C and point P_{\_G43953}
line L_{\_G43959} C P_{\_G43953} 

color 200 200 200
drawline L_{\_G43959}
color 0 0 0


% Constructing a point P_{\_G43962} which belongs to line L_{\_G43950} and line L_{\_G43956}
intersec P_{\_G43962} L_{\_G43950} L_{\_G43956} 
cmark_r P_{\_G43962}

% Constructing a point P_{\_G43965} which belongs to line L_{\_G43950} and line L_{\_G43959}
intersec P_{\_G43965} L_{\_G43950} L_{\_G43959} 
cmark_r P_{\_G43965}

% Constructing a line L_{\_G43968} which passes through point B and point P_{\_G43965}
line L_{\_G43968} B P_{\_G43965} 

color 200 200 200
drawline L_{\_G43968}
color 0 0 0


% Constructing a line L_{\_G43971} which passes through point C and point P_{\_G43962}
line L_{\_G43971} C P_{\_G43962} 

color 200 200 200
drawline L_{\_G43971}
color 0 0 0


% Constructing a point P_{\_G43974} which belongs to line L_{\_G43968} and line L_{\_G43971}
intersec P_{\_G43974} L_{\_G43968} L_{\_G43971} 
cmark_r P_{\_G43974}

% Constructing a line L_{\_G43977} which passes through point P_{\_G43953} and point P_{\_G43974}
line L_{\_G43977} P_{\_G43953} P_{\_G43974} 

color 200 200 200
drawline L_{\_G43977}
color 0 0 0


% Constructing a point T`_{a} which belongs to line L_{\_G43977} and line a
intersec T`_{a} L_{\_G43977} a 
cmark_r T`_{a}


% NDG:  points T_{a} and T`_{a} are not the same
% Constructing midpoint P_{\_G44808} of the segment T_{a}T`_{a}
midpoint P_{\_G44808} T_{a} T`_{a} 
cmark_r P_{\_G44808}

% Constructing a circle k_over(T_{a},T`_{a}) whose center is at point P_{\_G44808} and which passes through point T_{a}
circle k_over(T_{a},T`_{a}) P_{\_G44808} 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; line a and circle k(M_{a},B) intersect; points H_{c} and M_{a} are not the same
% Determination conditions:  points H_{c} and B are not the same; points M_{a} and T_{a} are not the same