Construction in GCLC language
dim 120 120
point O 65 51.14
point M_{b} 95 67.5
point H_{a} 80 40
color 220 0 0
fontsize 11
cmark_t O
cmark_rt M_{b}
cmark_b H_{a}
color 0 0 0
fontsize 10
% DET: points O and M_{b} are not the same
% Constructing a line m_{b} which passes through point O and point M_{b}
line m_{b} O M_{b}
color 200 200 200
drawline m_{b}
color 0 0 0
% NDG: points H_{a} and M_{b} are not the same
% Constructing a circle k(M_{b},C) whose center is at point M_{b} and which passes through point H_{a}
circle k(M_{b},C) M_{b} H_{a}
color 200 200 200
drawcircle k(M_{b},C)
color 0 0 0
% Constructing a line b which is perpendicular to line m_{b} and which passes through point M_{b}
perp b M_{b} m_{b}
color 200 200 200
drawline b
color 0 0 0
% NDG: line b and circle k(M_{b},C) intersect
% Constructing points C and A which are in intersection of k(M_{b},C) and b
intersec2 C A k(M_{b},C) b
cmark_b C
cmark_t A
% DET: points H_{a} and C are not the same
% Constructing a line a which passes through point H_{a} and point C
line a H_{a} C
color 200 200 200
drawline a
color 0 0 0
% NDG: points C and O are not the same
% Constructing a circle k(O,C) whose center is at point O and which passes through point C
circle k(O,C) O C
color 200 200 200
drawcircle k(O,C)
color 0 0 0
% NDG: line a and circle k(O,C) intersect% DET: points C and B must be different
% Constructing a point P_{\_G34235} which is a foot of the point O on the line a
foot P_{\_G34235} O a
cmark_r P_{\_G34235}
color 200 200 200
drawline O P_{\_G34235}
color 0 0 0
% Constructing a point B which is an image of the point C in the symmetry to point/line P_{\_G34235}
sim B P_{\_G34235} C
cmark_b B
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions: line a and circle k(O,C) intersect; points C and O are not the same; line b and circle k(M_{b},C) intersect; points H_{a} and M_{b} are not the same
% Determination conditions: points C and B must be different; points H_{a} and C are not the same; points O and M_{b} are not the same