Construction in GCLC language
dim 120 120
point O 65 51.14
point M_{a} 65 40
point H_{b} 89.36 77.83
color 220 0 0
fontsize 11
cmark_t O
cmark_b M_{a}
cmark_rt H_{b}
color 0 0 0
fontsize 10
% DET: points O and M_{a} are not the same
% Constructing a line m_{a} which passes through point O and point M_{a}
line m_{a} O M_{a}
color 200 200 200
drawline m_{a}
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
% Constructing a line a which is perpendicular to line m_{a} and which passes through point M_{a}
perp a M_{a} m_{a}
color 200 200 200
drawline a
color 0 0 0
% NDG: line a and circle k(M_{a},B) intersect
% Constructing points B and C which are in intersection of k(M_{a},B) and a
intersec2 B C k(M_{a},B) a
cmark_b B
cmark_b C
% DET: points H_{b} and C are not the same
% Constructing a line b which passes through point H_{b} and point C
line b H_{b} C
color 200 200 200
drawline b
color 0 0 0
% NDG: points B and O are not the same
% Constructing a circle k(O,C) whose center is at point O and which passes through point B
circle k(O,C) O B
color 200 200 200
drawcircle k(O,C)
color 0 0 0
% NDG: line b and circle k(O,C) intersect% DET: points C and A must be different
% Constructing a point P_{\_G59592} which is a foot of the point O on the line b
foot P_{\_G59592} O b
cmark_r P_{\_G59592}
color 200 200 200
drawline O P_{\_G59592}
color 0 0 0
% Constructing a point A which is an image of the point C in the symmetry to point/line P_{\_G59592}
sim A P_{\_G59592} C
cmark_t A
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions: line b and circle k(O,C) intersect; points B and O are not the same; line a and circle k(M_{a},B) intersect; points H_{b} and M_{a} are not the same
% Determination conditions: points C and A must be different; points H_{b} and C are not the same; points O and M_{a} are not the same