Construction in GCLC language
dim 120 120
point C 110 40
point M_{c} 50 67.5
point H_{b} 89.36 77.83
color 220 0 0
fontsize 11
cmark_b C
cmark_lt M_{c}
cmark_rt H_{b}
color 0 0 0
fontsize 10
% 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_{\_G51353} which is a foot of the point M_{c} on the line b
foot P_{\_G51353} M_{c} b
cmark_r P_{\_G51353}
color 200 200 200
drawline M_{c} P_{\_G51353}
color 0 0 0
% Constructing a point A which is an image of the point H_{b} in the symmetry to point/line P_{\_G51353}
sim A P_{\_G51353} H_{b}
cmark_t A
% Constructing a point B such that M_{c}B/M_{c}A=-1
towards B M_{c} A -1
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_{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