Construction in GCLC language

dim 120 120

point E_{b} 50 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_{b}
cmark_rt H_{b}
cmark_lt H_{c}
color 0 0 0
fontsize 10

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

color 200 200 200
drawline h_{b}
color 0 0 0



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

color 200 200 200
drawcircle k(E_{b},B)
color 0 0 0



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


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

color 200 200 200
drawline c
color 0 0 0



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

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




% Constructing a line b which is perpendicular to line h_{b} and which passes through point H_{b}
perp b H_{b} h_{b} 

color 200 200 200
drawline b
color 0 0 0



% NDG:  lines b and c are not parallel% DET:  lines b and c are not the same
% Constructing a point A which belongs to line b and line c
intersec A b c 
cmark_t A


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



drawsegment A B
drawsegment A C
drawsegment B C

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