Construction in GCLC language
dim 120 120
point A 80 95
point M_{a} 65 40
point H_{b} 89.36 77.83
color 220 0 0
fontsize 11
cmark_t A
cmark_b M_{a}
cmark_rt H_{b}
color 0 0 0
fontsize 10
% 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_{\_G13304} which is a foot of the point M_{a} on the line b
foot P_{\_G13304} M_{a} b
cmark_r P_{\_G13304}
color 200 200 200
drawline M_{a} P_{\_G13304}
color 0 0 0
% Constructing a point C which is an image of the point H_{b} in the symmetry to point/line P_{\_G13304}
sim C P_{\_G13304} H_{b}
cmark_b C
% Constructing a point B such that M_{a}B/M_{a}C=-1
towards B M_{a} C -1
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_{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