Construction in GCLC language

dim 120 120

point M_{a} 65 40
point H_{a} 80 40

color 220 0 0
fontsize 11

cmark_b M_{a}
cmark_b H_{a}
color 0 0 0
fontsize 10


% point O is given by the problem setting, but it has to belong to the line m_{a} which is constructible from the others objects given 
% DET:  points M_{a} and H_{a} are not the same
% Constructing a line a which passes through point M_{a} and point H_{a}
line a M_{a} H_{a} 

color 200 200 200
drawline a
color 0 0 0




% Constructing a line m_{a} which is perpendicular to line a and which passes through point M_{a}
perp m_{a} M_{a} a 

color 200 200 200
drawline m_{a}
color 0 0 0




% Constructing a point P_{\_G32920} with coordinates (10,30)
point P_{\_G32920} 10 30 
cmark_r P_{\_G32920}

% Constructing a line L_{\_G32923} which passes through point H_{a} and point M_{a}
line L_{\_G32923} H_{a} M_{a} 

color 200 200 200
drawline L_{\_G32923}
color 0 0 0


% Constructing a line L_{\_G32926} which is perpendicular to line L_{\_G32923} and which passes through point M_{a}
perp L_{\_G32926} M_{a} L_{\_G32923} 

color 200 200 200
drawline L_{\_G32926}
color 0 0 0


% Constructing a line L_{\_G32929} which passes through point H_{a} and point P_{\_G32920}
line L_{\_G32929} H_{a} P_{\_G32920} 

color 200 200 200
drawline L_{\_G32929}
color 0 0 0


% Constructing a point O which belongs to line L_{\_G32929} and line L_{\_G32926}
intersec O L_{\_G32929} L_{\_G32926} 
color 220 0 0
fontsize 11
cmark_t O
color 0 0 0
fontsize 10




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

color 200 200 200
drawline h_{a}
color 0 0 0




% Constructing a point P_{\_G33380} with coordinates (10,30)
point P_{\_G33380} 10 30 
cmark_r P_{\_G33380}

% Constructing a line L_{\_G33383} which passes through point M_{a} and point H_{a}
line L_{\_G33383} M_{a} H_{a} 

color 200 200 200
drawline L_{\_G33383}
color 0 0 0


% Constructing a line L_{\_G33386} which is perpendicular to line L_{\_G33383} and which passes through point H_{a}
perp L_{\_G33386} H_{a} L_{\_G33383} 

color 200 200 200
drawline L_{\_G33386}
color 0 0 0


% Constructing a line L_{\_G33389} which passes through point M_{a} and point P_{\_G33380}
line L_{\_G33389} M_{a} P_{\_G33380} 

color 200 200 200
drawline L_{\_G33389}
color 0 0 0


% Constructing a point A which belongs to line L_{\_G33389} and line L_{\_G33386}
intersec A L_{\_G33389} L_{\_G33386} 
cmark_t A


% NDG:  points A and O are not the same
% Constructing a circle k(O,C) whose center is at point O and which passes through point A
circle k(O,C) O A 

color 200 200 200
drawcircle k(O,C)
color 0 0 0



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



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  line a and circle k(O,C) intersect; points A and O are not the same
% Determination conditions:  points M_{a} and H_{a} are not the same