Construction in GCLC language

dim 120 120

point A 80 95
point O 65 51.14
point H 80 72.73

color 220 0 0
fontsize 11

cmark_t A
cmark_t O
cmark_rt H
color 0 0 0
fontsize 10


% Constructing a line L_{\_G11730} which passes through point O and point H
line L_{\_G11730} O H 

color 200 200 200
drawline L_{\_G11730}
color 0 0 0


% Constructing a point P_{\_G11831} with coordinates (0,0)
point P_{\_G11831} 0 0 
cmark_r P_{\_G11831}

% Constructing a point P_{\_G11755} such that OP_{\_G11755}/OP_{\_G11831}=1
towards P_{\_G11755} O P_{\_G11831} 1 
cmark_r P_{\_G11755}
color 200 200 200
drawsegment O P_{\_G11755} 
color 0 0 0

% Constructing a point P_{\_G11800} such that OP_{\_G11800}/OP_{\_G11831}=3
towards P_{\_G11800} O P_{\_G11831} 3 
cmark_r P_{\_G11800}
color 200 200 200
drawsegment O P_{\_G11800} 
color 0 0 0

% Constructing a line L_{\_G11761} which passes through point H and point P_{\_G11800}
line L_{\_G11761} H P_{\_G11800} 

color 200 200 200
drawline L_{\_G11761}
color 0 0 0


% Constructing a line L_{\_G11724} which contains the point P_{\_G11755} and is parallel to the line L_{\_G11761}
parallel L_{\_G11724} P_{\_G11755} L_{\_G11761} 

color 200 200 200
drawline L_{\_G11724}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G11724} and line L_{\_G11730}
intersec G L_{\_G11724} L_{\_G11730} 
cmark_t G



% Constructing a point M_{a} such that AM_{a}/AG=1.5
towards M_{a} A G 1.5 
cmark_b M_{a}
color 200 200 200
drawsegment A M_{a} 
color 0 0 0


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

color 200 200 200
drawline h_{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 h_{a} and which passes through point M_{a}
perp a M_{a} h_{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 A and H are not the same