Construction in GCLC language


dim 120 120

point C 110 40
point O 65 51.14
point H_{c} 68.91 84.83

color 220 0 0
fontsize 11

cmark_b C
cmark_t O
cmark_lt H_{c}
color 0 0 0
fontsize 10

% DET:  points C and H_{c} are not the same
% Constructing a line h_{c} which passes through point C and point H_{c}
line h_{c} C H_{c} 

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 H_{c}
perp c H_{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_{c} are not the same