Construction in GCLC language

dim 120 120

point O 65 51.14
point M_{a} 65 40
point H 80 72.73

color 220 0 0
fontsize 11

cmark_t O
cmark_b M_{a}
cmark_rt H
color 0 0 0
fontsize 10


% Constructing a line L_{\_G47865} which passes through point O and point H
line L_{\_G47865} O H 

color 200 200 200
drawline L_{\_G47865}
color 0 0 0


% Constructing a point P_{\_G47966} with coordinates (0,0)
point P_{\_G47966} 0 0 
cmark_r P_{\_G47966}

% Constructing a point P_{\_G47890} such that OP_{\_G47890}/OP_{\_G47966}=1
towards P_{\_G47890} O P_{\_G47966} 1 
cmark_r P_{\_G47890}
color 200 200 200
drawsegment O P_{\_G47890} 
color 0 0 0

% Constructing a point P_{\_G47935} such that OP_{\_G47935}/OP_{\_G47966}=3
towards P_{\_G47935} O P_{\_G47966} 3 
cmark_r P_{\_G47935}
color 200 200 200
drawsegment O P_{\_G47935} 
color 0 0 0

% Constructing a line L_{\_G47896} which passes through point H and point P_{\_G47935}
line L_{\_G47896} H P_{\_G47935} 

color 200 200 200
drawline L_{\_G47896}
color 0 0 0


% Constructing a line L_{\_G47859} which contains the point P_{\_G47890} and is parallel to the line L_{\_G47896}
parallel L_{\_G47859} P_{\_G47890} L_{\_G47896} 

color 200 200 200
drawline L_{\_G47859}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G47859} and line L_{\_G47865}
intersec G L_{\_G47859} L_{\_G47865} 
cmark_t G



% Constructing a point A such that M_{a}A/M_{a}G=3
towards A M_{a} G 3 
cmark_t A
color 200 200 200
drawsegment M_{a} A 
color 0 0 0


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

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



% 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




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

color 200 200 200
drawline a
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 O and M_{a} are not the same