Construction in GCLC language

dim 120 120

point M_{b} 95 67.5
point H_{c} 68.91 84.83
point T_{b} 94.25 68.88

color 220 0 0
fontsize 11

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

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

color 200 200 200
drawline b
color 0 0 0



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

color 200 200 200
drawcircle k(M_{b},C)
color 0 0 0



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


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

color 200 200 200
drawline c
color 0 0 0



% NDG:  points A and C are not the same; points C and T_{b} are not the same; points C and midpoint([A,T_{b}]) are not the same
% Constructing a point P_{\_G43440} which is an image of the point C in a rotation around the point T_{b} for the angle 90
rotate P_{\_G43440} T_{b} 90 C 
cmark_r P_{\_G43440}
color 200 200 200
drawarc_p T_{b} C 90 
color 0 0 0

% Constructing a line L_{\_G43443} which passes through point T_{b} and point P_{\_G43440}
line L_{\_G43443} T_{b} P_{\_G43440} 

color 200 200 200
drawline L_{\_G43443}
color 0 0 0


% Constructing midpoint P_{\_G43446} of the segment CP_{\_G43440}
midpoint P_{\_G43446} C P_{\_G43440} 
cmark_r P_{\_G43446}

% Constructing a line L_{\_G43449} which passes through point A and point P_{\_G43446}
line L_{\_G43449} A P_{\_G43446} 

color 200 200 200
drawline L_{\_G43449}
color 0 0 0


% Constructing a line L_{\_G43452} which passes through point C and point P_{\_G43446}
line L_{\_G43452} C P_{\_G43446} 

color 200 200 200
drawline L_{\_G43452}
color 0 0 0


% Constructing a point P_{\_G43455} which belongs to line L_{\_G43443} and line L_{\_G43449}
intersec P_{\_G43455} L_{\_G43443} L_{\_G43449} 
cmark_r P_{\_G43455}

% Constructing a point P_{\_G43458} which belongs to line L_{\_G43443} and line L_{\_G43452}
intersec P_{\_G43458} L_{\_G43443} L_{\_G43452} 
cmark_r P_{\_G43458}

% Constructing a line L_{\_G43461} which passes through point A and point P_{\_G43458}
line L_{\_G43461} A P_{\_G43458} 

color 200 200 200
drawline L_{\_G43461}
color 0 0 0


% Constructing a line L_{\_G43464} which passes through point C and point P_{\_G43455}
line L_{\_G43464} C P_{\_G43455} 

color 200 200 200
drawline L_{\_G43464}
color 0 0 0


% Constructing a point P_{\_G43467} which belongs to line L_{\_G43461} and line L_{\_G43464}
intersec P_{\_G43467} L_{\_G43461} L_{\_G43464} 
cmark_r P_{\_G43467}

% Constructing a line L_{\_G43470} which passes through point P_{\_G43446} and point P_{\_G43467}
line L_{\_G43470} P_{\_G43446} P_{\_G43467} 

color 200 200 200
drawline L_{\_G43470}
color 0 0 0


% Constructing a point T`_{b} which belongs to line L_{\_G43470} and line b
intersec T`_{b} L_{\_G43470} b 
cmark_r T`_{b}


% NDG:  points T_{b} and T`_{b} are not the same
% Constructing midpoint P_{\_G44301} of the segment T_{b}T`_{b}
midpoint P_{\_G44301} T_{b} T`_{b} 
cmark_r P_{\_G44301}

% Constructing a circle k_over(T_{b},T`_{b}) whose center is at point P_{\_G44301} and which passes through point T_{b}
circle k_over(T_{b},T`_{b}) P_{\_G44301} T_{b} 

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



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



drawsegment A B
drawsegment A C
drawsegment B C

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