Construction in GCLC language

dim 120 120

point C 110 40
point G 70 58.33
point H_{b} 89.36 77.83

color 220 0 0
fontsize 11

cmark_b C
cmark_t G
cmark_rt H_{b}
color 0 0 0
fontsize 10


% Constructing a point M_{c} such that CM_{c}/CG=1.5
towards M_{c} C G 1.5 
cmark_lt M_{c}
color 200 200 200
drawsegment C M_{c} 
color 0 0 0


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

color 200 200 200
drawline b
color 0 0 0



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

color 200 200 200
drawcircle k(M_{c},A)
color 0 0 0



% NDG:  line b and circle k(M_{c},A) intersect% DET:  points H_{b} and A must be different
% Constructing a point P_{\_G52999} which is a foot of the point M_{c} on the line b
foot P_{\_G52999} M_{c} b 
cmark_r P_{\_G52999}
color 200 200 200
drawline M_{c} P_{\_G52999} 
color 0 0 0

% Constructing a point A which is an image of the point H_{b} in the symmetry to point/line P_{\_G52999}
sim A P_{\_G52999} H_{b} 
cmark_t A



% Constructing a point M_{a} such that GM_{a}/GA=-0.5
towards M_{a} G A -0.5 
cmark_b M_{a}
color 200 200 200
drawsegment A M_{a} 
color 0 0 0



% Constructing a point B such that CB/CM_{a}=2
towards B C M_{a} 2 
cmark_b B
color 200 200 200
drawsegment C B 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

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