Construction in GCLC language

dim 120 120

point H_{b} 89.36 77.83
point T_{b} 94.25 68.88

color 220 0 0
fontsize 11

cmark_rt H_{b}
cmark_rt T_{b}
color 0 0 0
fontsize 10


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

color 200 200 200
drawline b
color 0 0 0




% Constructing a point C such that H_{b}C/H_{b}T_{b}=0.1293229767826088
towards C H_{b} T_{b} 0.1293229767826088 
color 220 0 0
fontsize 11
cmark_b C
color 0 0 0
fontsize 10

color 200 200 200
drawsegment H_{b} T_{b} 
color 0 0 0



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

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




% Constructing a point A such that CA/CH_{b}=0.1293229767826088
towards A C H_{b} 0.1293229767826088 
cmark_t A
color 200 200 200
drawsegment C H_{b} 
color 0 0 0



% Constructing a point P_{\_G32669} with coordinates (10,30)
point P_{\_G32669} 10 30 
cmark_r P_{\_G32669}

% Constructing a line L_{\_G32672} which passes through point A and point H_{b}
line L_{\_G32672} A H_{b} 

color 200 200 200
drawline L_{\_G32672}
color 0 0 0


% Constructing a line L_{\_G32675} which is perpendicular to line L_{\_G32672} and which passes through point H_{b}
perp L_{\_G32675} H_{b} L_{\_G32672} 

color 200 200 200
drawline L_{\_G32675}
color 0 0 0


% Constructing a line L_{\_G32678} which passes through point A and point P_{\_G32669}
line L_{\_G32678} A P_{\_G32669} 

color 200 200 200
drawline L_{\_G32678}
color 0 0 0


% Constructing a point B which belongs to line L_{\_G32678} and line L_{\_G32675}
intersec B L_{\_G32678} L_{\_G32675} 
cmark_b B



drawsegment A B
drawsegment A C
drawsegment B C

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