Construction in GCLC language
dim 120 120
point A 80 95
point O 65 51.14
point G 70 58.33
color 220 0 0
fontsize 11
cmark_t A
cmark_t O
cmark_t G
color 0 0 0
fontsize 10
% Constructing a point M_{a} such that AM_{a}/AG=1.5
towards M_{a} A G 1.5
cmark_b M_{a}
color 200 200 200
drawsegment A M_{a}
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 A and H are not the same
% Constructing a line h_{a} which passes through point A and point H
line h_{a} A H
color 200 200 200
drawline h_{a}
color 0 0 0
% NDG: points A and O are not the same
% Constructing a circle k(O,C) whose center is at point O and which passes through point A
circle k(O,C) O A
color 200 200 200
drawcircle k(O,C)
color 0 0 0
% Constructing a line a which is perpendicular to line h_{a} and which passes through point M_{a}
perp a M_{a} h_{a}
color 200 200 200
drawline a
color 0 0 0
% NDG: line a and circle k(O,C) intersect
% Constructing points C and B which are in intersection of k(O,C) and a
intersec2 C B k(O,C) a
cmark_b 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 A and O are not the same
% Determination conditions: points A and H are not the same