Construction in GCLC language

dim 120 120

point G 70 58.33
point H_{b} 89.36 77.83
point T_{b} 94.25 68.88

color 220 0 0
fontsize 11

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

% 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 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 P_{\_G81012} such that GP_{\_G81012}/GH_{b}=-2
towards P_{\_G81012} G H_{b} -2 
cmark_r P_{\_G81012}
color 200 200 200
drawsegment H_{b} P_{\_G81012} 
color 0 0 0

% Constructing a line h_{G,-2/1}(b) which contains the point P_{\_G81012} and is parallel to the line b
parallel h_{G,-2/1}(b) P_{\_G81012} b 

color 200 200 200
drawline h_{G,-2/1}(b)
color 0 0 0



% NDG:  lines h_{G,-2/1}(b) and h_{b} are not parallel% DET:  lines h_{G,-2/1}(b) and h_{b} are not the same
% Constructing a point B which belongs to line h_{G,-2/1}(b) and line h_{b}
intersec B h_{G,-2/1}(b) h_{b} 
cmark_b B



% Constructing a point M_{b} such that BM_{b}/BG=1.5
towards M_{b} B G 1.5 
cmark_rt M_{b}
color 200 200 200
drawsegment B M_{b} 
color 0 0 0


% DET:  points T_{b} and B are not the same
% Constructing a line s_{b} which passes through point T_{b} and point B
line s_{b} T_{b} B 

color 200 200 200
drawline s_{b}
color 0 0 0




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

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



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


% DET:  points B and N_{b} are not the same
% Constructing bisector m(BN_{b}) of the segment BN_{b}
med m(BN_{b}) B N_{b} 

color 200 200 200
drawline m(BN_{b})
color 0 0 0

color 200 200 200
drawsegment B N_{b} 
color 0 0 0


% NDG:  lines m(BN_{b}) and m_{b} are not parallel% DET:  lines m(BN_{b}) and m_{b} are not the same
% Constructing a point O which belongs to line m(BN_{b}) and line m_{b}
intersec O m(BN_{b}) m_{b} 
cmark_t O


% 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(BN_{b}) and m_{b} are not parallel; lines m_{b} and s_{b} are not parallel; lines h_{G,-2/1}(b) and h_{b} are not parallel
% Determination conditions:  lines m(BN_{b}) and m_{b} are not the same; points B and N_{b} are not the same; lines m_{b} and s_{b} are not the same; points T_{b} and B are not the same; lines h_{G,-2/1}(b) and h_{b} are not the same; points H_{b} and T_{b} are not the same