Construction in GCLC language
dim 120 120
point C 110 40
point O 65 51.14
point G 70 58.33
color 220 0 0
fontsize 11
cmark_b C
cmark_t O
cmark_t G
color 0 0 0
fontsize 10
% Constructing a point M_{c} such that CM_{c}/CG=1.5
towards M_{c} C G 1.5
cmark_lt M_{c}
color 200 200 200
drawsegment C M_{c}
color 0 0 0
% Constructing a point H such that OH/OG=3
towards H O G 3
cmark_rt H
color 200 200 200
drawsegment O H
color 0 0 0
% DET: points C and H are not the same
% Constructing a line h_{c} which passes through point C and point H
line h_{c} C H
color 200 200 200
drawline h_{c}
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
% Constructing a line c which is perpendicular to line h_{c} and which passes through point M_{c}
perp c M_{c} h_{c}
color 200 200 200
drawline c
color 0 0 0
% NDG: line c and circle k(O,C) intersect
% Constructing points A and B which are in intersection of k(O,C) and c
intersec2 A B k(O,C) c
cmark_t A
cmark_b B
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions: line c and circle k(O,C) intersect; points C and O are not the same
% Determination conditions: points C and H are not the same