Construction in GCLC language

dim 120 120

point M_{a} 65 40
point M_{c} 50 67.5
point H_{c} 68.91 84.83

color 220 0 0
fontsize 11

cmark_b M_{a}
cmark_lt M_{c}
cmark_lt H_{c}
color 0 0 0
fontsize 10

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

color 200 200 200
drawline c
color 0 0 0



% NDG:  points H_{c} 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_{c}
circle k(M_{a},B) M_{a} H_{c} 

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



% NDG:  line c and circle k(M_{a},B) intersect% DET:  points H_{c} and B must be different
% Constructing a point P_{\_G63137} which is a foot of the point M_{a} on the line c
foot P_{\_G63137} M_{a} c 
cmark_r P_{\_G63137}
color 200 200 200
drawline M_{a} P_{\_G63137} 
color 0 0 0

% Constructing a point B which is an image of the point H_{c} in the symmetry to point/line P_{\_G63137}
sim B P_{\_G63137} H_{c} 
cmark_b B



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



% Constructing a point A such that M_{c}A/M_{c}B=-1
towards A M_{c} B -1 
cmark_t A
color 200 200 200
drawsegment B A 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

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