Construction in GCLC language
dim 120 120
point B 20 40
point M_{b} 95 67.5
point H 80 72.73
color 220 0 0
fontsize 11
cmark_b B
cmark_rt M_{b}
cmark_rt H
color 0 0 0
fontsize 10
% Constructing a line L_{\_G25897} which passes through point B and point M_{b}
line L_{\_G25897} B M_{b}
color 200 200 200
drawline L_{\_G25897}
color 0 0 0
% Constructing a point P_{\_G25998} with coordinates (0,0)
point P_{\_G25998} 0 0
cmark_r P_{\_G25998}
% Constructing a point P_{\_G25922} such that BP_{\_G25922}/BP_{\_G25998}=2
towards P_{\_G25922} B P_{\_G25998} 2
cmark_r P_{\_G25922}
color 200 200 200
drawsegment B P_{\_G25922}
color 0 0 0
% Constructing a point P_{\_G25967} such that BP_{\_G25967}/BP_{\_G25998}=3
towards P_{\_G25967} B P_{\_G25998} 3
cmark_r P_{\_G25967}
color 200 200 200
drawsegment B P_{\_G25967}
color 0 0 0
% Constructing a line L_{\_G25928} which passes through point M_{b} and point P_{\_G25967}
line L_{\_G25928} M_{b} P_{\_G25967}
color 200 200 200
drawline L_{\_G25928}
color 0 0 0
% Constructing a line L_{\_G25891} which contains the point P_{\_G25922} and is parallel to the line L_{\_G25928}
parallel L_{\_G25891} P_{\_G25922} L_{\_G25928}
color 200 200 200
drawline L_{\_G25891}
color 0 0 0
% Constructing a point G which belongs to line L_{\_G25891} and line L_{\_G25897}
intersec G L_{\_G25891} L_{\_G25897}
cmark_t G
% Constructing a point O such that HO/HG=1.5
towards O H G 1.5
cmark_t O
color 200 200 200
drawsegment H O
color 0 0 0
% DET: points B and H are not the same
% Constructing a line h_{b} which passes through point B and point H
line h_{b} B H
color 200 200 200
drawline h_{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
% Constructing a line b which is perpendicular to line h_{b} and which passes through point M_{b}
perp b M_{b} h_{b}
color 200 200 200
drawline b
color 0 0 0
% NDG: line b and circle k(O,C) intersect
% Constructing points C and A which are in intersection of k(O,C) and b
intersec2 C A k(O,C) b
cmark_b 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
% Determination conditions: points B and H are not the same