Construction in GCLC language

dim 120 120

point M_{c} 50 67.5
point H_{c} 68.91 84.83

color 220 0 0
fontsize 11

cmark_lt M_{c}
cmark_lt H_{c}
color 0 0 0
fontsize 10


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

color 200 200 200
drawline c
color 0 0 0




% Constructing a point A such that M_{c}A/M_{c}H_{c}=0.6330838781453895
towards A M_{c} H_{c} 0.6330838781453895 
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10

color 200 200 200
drawsegment M_{c} H_{c} 
color 0 0 0



% Constructing a point B such that AB/AM_{c}=2
towards B A M_{c} 2 
cmark_b B
color 200 200 200
drawsegment A B 
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




% Constructing a point P_{\_G8544} with coordinates (10,30)
point P_{\_G8544} 10 30 
cmark_r P_{\_G8544}

% Constructing a line L_{\_G8547} which passes through point A and point H_{c}
line L_{\_G8547} A H_{c} 

color 200 200 200
drawline L_{\_G8547}
color 0 0 0


% Constructing a line L_{\_G8550} which is perpendicular to line L_{\_G8547} and which passes through point H_{c}
perp L_{\_G8550} H_{c} L_{\_G8547} 

color 200 200 200
drawline L_{\_G8550}
color 0 0 0


% Constructing a line L_{\_G8553} which passes through point A and point P_{\_G8544}
line L_{\_G8553} A P_{\_G8544} 

color 200 200 200
drawline L_{\_G8553}
color 0 0 0


% Constructing a point C which belongs to line L_{\_G8553} and line L_{\_G8550}
intersec C L_{\_G8553} L_{\_G8550} 
cmark_b C



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions: 
% Determination conditions:  points M_{c} and H_{c} are not the same