Construction in GCLC language

dim 120 120

point A 80 95
point G 70 58.33
point H_{b} 89.36 77.83

color 220 0 0
fontsize 11

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


% 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_{b} are not the same
% Constructing a line b which passes through point A and point H_{b}
line b A H_{b} 

color 200 200 200
drawline b
color 0 0 0



% NDG:  points H_{b} and M_{a} are not the same
% Constructing a circle k(M_{a},B) whose center is at point M_{a} and which passes through point H_{b}
circle k(M_{a},B) M_{a} H_{b} 

color 200 200 200
drawcircle k(M_{a},B)
color 0 0 0



% NDG:  line b and circle k(M_{a},B) intersect% DET:  points H_{b} and C must be different
% Constructing a point P_{\_G13416} which is a foot of the point M_{a} on the line b
foot P_{\_G13416} M_{a} b 
cmark_r P_{\_G13416}
color 200 200 200
drawline M_{a} P_{\_G13416} 
color 0 0 0

% Constructing a point C which is an image of the point H_{b} in the symmetry to point/line P_{\_G13416}
sim C P_{\_G13416} H_{b} 
cmark_b C



% Constructing a point M_{c} such that GM_{c}/GC=-0.5
towards M_{c} G C -0.5 
cmark_lt M_{c}
color 200 200 200
drawsegment C M_{c} 
color 0 0 0



% Constructing a point B such that AB/AM_{c}=2
towards B A M_{c} 2 
cmark_b B
color 200 200 200
drawsegment A B 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  line b and circle k(M_{a},B) intersect; points H_{b} and M_{a} are not the same
% Determination conditions:  points H_{b} and C must be different; points A and H_{b} are not the same