Construction in GCLC language

dim 120 120

point O 65 51.14
point H_{b} 89.36 77.83
point H 80 72.73

color 220 0 0
fontsize 11

cmark_t O
cmark_rt H_{b}
cmark_rt H
color 0 0 0
fontsize 10


% Constructing a line L_{\_G38982} which passes through point O and point H
line L_{\_G38982} O H 

color 200 200 200
drawline L_{\_G38982}
color 0 0 0


% Constructing a point P_{\_G39083} with coordinates (0,0)
point P_{\_G39083} 0 0 
cmark_r P_{\_G39083}

% Constructing a point P_{\_G39007} such that OP_{\_G39007}/OP_{\_G39083}=1
towards P_{\_G39007} O P_{\_G39083} 1 
cmark_r P_{\_G39007}
color 200 200 200
drawsegment O P_{\_G39007} 
color 0 0 0

% Constructing a point P_{\_G39052} such that OP_{\_G39052}/OP_{\_G39083}=3
towards P_{\_G39052} O P_{\_G39083} 3 
cmark_r P_{\_G39052}
color 200 200 200
drawsegment O P_{\_G39052} 
color 0 0 0

% Constructing a line L_{\_G39013} which passes through point H and point P_{\_G39052}
line L_{\_G39013} H P_{\_G39052} 

color 200 200 200
drawline L_{\_G39013}
color 0 0 0


% Constructing a line L_{\_G38976} which contains the point P_{\_G39007} and is parallel to the line L_{\_G39013}
parallel L_{\_G38976} P_{\_G39007} L_{\_G39013} 

color 200 200 200
drawline L_{\_G38976}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G38976} and line L_{\_G38982}
intersec G L_{\_G38976} L_{\_G38982} 
cmark_t G


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

color 200 200 200
drawline h_{b}
color 0 0 0




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

color 200 200 200
drawline b
color 0 0 0




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

color 200 200 200
drawline m_{b}
color 0 0 0



% NDG:  lines m_{b} and b are not parallel% DET:  lines m_{b} and b are not the same
% Constructing a point M_{b} which belongs to line m_{b} and line b
intersec M_{b} m_{b} b 
cmark_rt M_{b}



% 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


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

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



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



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  line b and circle k(O,C) intersect; points B and O are not the same; lines m_{b} and b are not parallel
% Determination conditions:  lines m_{b} and b are not the same; points H_{b} and H are not the same