Construction in GCLC language

dim 120 120

point G 70 58.33
point H_{a} 80 40
point T_{a} 70.86 40

color 220 0 0
fontsize 11

cmark_t G
cmark_b H_{a}
cmark_b T_{a}
color 0 0 0
fontsize 10

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

color 200 200 200
drawline a
color 0 0 0




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

color 200 200 200
drawline h_{a}
color 0 0 0




% Constructing a point P_{\_G62014} such that GP_{\_G62014}/GH_{a}=-2
towards P_{\_G62014} G H_{a} -2 
cmark_r P_{\_G62014}
color 200 200 200
drawsegment H_{a} P_{\_G62014} 
color 0 0 0

% Constructing a line h_{G,-2/1}(a) which contains the point P_{\_G62014} and is parallel to the line a
parallel h_{G,-2/1}(a) P_{\_G62014} a 

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



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



% 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 T_{a} and A are not the same
% Constructing a line s_{a} which passes through point T_{a} and point A
line s_{a} T_{a} A 

color 200 200 200
drawline s_{a}
color 0 0 0




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

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



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


% DET:  points A and N_{a} are not the same
% Constructing bisector m(AN_{a}) of the segment AN_{a}
med m(AN_{a}) A N_{a} 

color 200 200 200
drawline m(AN_{a})
color 0 0 0

color 200 200 200
drawsegment A N_{a} 
color 0 0 0


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


% 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



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