Construction in GCLC language

dim 120 120

point E_{c} 95 56.36
point H_{b} 89.36 77.83
point H_{c} 68.91 84.83

color 220 0 0
fontsize 11

cmark_r E_{c}
cmark_rt H_{b}
cmark_lt H_{c}
color 0 0 0
fontsize 10

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

color 200 200 200
drawline h_{c}
color 0 0 0



% NDG:  points H_{b} and E_{c} are not the same
% Constructing a circle k(E_{c},C) whose center is at point E_{c} and which passes through point H_{b}
circle k(E_{c},C) E_{c} H_{b} 

color 200 200 200
drawcircle k(E_{c},C)
color 0 0 0



% NDG:  line h_{c} and circle k(E_{c},C) intersect
% Constructing points C and H which are in intersection of k(E_{c},C) and h_{c}
intersec2 C H k(E_{c},C) h_{c} 
cmark_b C
cmark_rt H


% 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



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

color 200 200 200
drawline h_{b}
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:  lines c and b are not parallel% DET:  lines c and b are not the same
% Constructing a point A which belongs to line c and line b
intersec A c b 
cmark_t A


% NDG:  lines h_{b} and c are not parallel% DET:  lines h_{b} and c are not the same
% Constructing a point B which belongs to line h_{b} and line c
intersec B h_{b} c 
cmark_b B



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  lines h_{b} and c are not parallel; lines c and b are not parallel; line h_{c} and circle k(E_{c},C) intersect; points H_{b} and E_{c} are not the same
% Determination conditions:  lines h_{b} and c are not the same; lines c and b are not the same; points H_{b} and H are not the same; points H_{b} and C are not the same; points E_{c} and H_{c} are not the same