Construction in GCLC language

dim 120 120

point C 110 40
point M_{b} 95 67.5
point M_{c} 50 67.5

color 220 0 0
fontsize 11

cmark_b C
cmark_rt M_{b}
cmark_lt M_{c}
color 0 0 0
fontsize 10


% Constructing a point A such that CA/CM_{b}=2
towards A C M_{b} 2 
cmark_t A
color 200 200 200
drawsegment C A 
color 0 0 0



% Constructing a line L_{\_G58553} which passes through point C and point M_{c}
line L_{\_G58553} C M_{c} 

color 200 200 200
drawline L_{\_G58553}
color 0 0 0


% Constructing a point P_{\_G58654} with coordinates (0,0)
point P_{\_G58654} 0 0 
cmark_r P_{\_G58654}

% Constructing a point P_{\_G58578} such that CP_{\_G58578}/CP_{\_G58654}=2
towards P_{\_G58578} C P_{\_G58654} 2 
cmark_r P_{\_G58578}
color 200 200 200
drawsegment C P_{\_G58578} 
color 0 0 0

% Constructing a point P_{\_G58623} such that CP_{\_G58623}/CP_{\_G58654}=3
towards P_{\_G58623} C P_{\_G58654} 3 
cmark_r P_{\_G58623}
color 200 200 200
drawsegment C P_{\_G58623} 
color 0 0 0

% Constructing a line L_{\_G58584} which passes through point M_{c} and point P_{\_G58623}
line L_{\_G58584} M_{c} P_{\_G58623} 

color 200 200 200
drawline L_{\_G58584}
color 0 0 0


% Constructing a line L_{\_G58547} which contains the point P_{\_G58578} and is parallel to the line L_{\_G58584}
parallel L_{\_G58547} P_{\_G58578} L_{\_G58584} 

color 200 200 200
drawline L_{\_G58547}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G58547} and line L_{\_G58553}
intersec G L_{\_G58547} L_{\_G58553} 
cmark_t G



% Constructing a point B such that M_{b}B/M_{b}G=3
towards B M_{b} G 3 
cmark_b B
color 200 200 200
drawsegment M_{b} B 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions: 
% Determination conditions: