Construction in GCLC language

dim 120 120

point B 20 40
point H_{b} 89.36 77.83
point N 72.5 61.93

color 220 0 0
fontsize 11

cmark_b B
cmark_rt H_{b}
cmark_r N
color 0 0 0
fontsize 10

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

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



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

color 200 200 200
drawcircle k(N,M_{a})
color 0 0 0



% NDG:  line h_{b} and circle k(N,M_{a}) intersect% DET:  points H_{b} and E_{b} must be different
% Constructing a point P_{\_G29468} which is a foot of the point N on the line h_{b}
foot P_{\_G29468} N h_{b} 
cmark_r P_{\_G29468}
color 200 200 200
drawline N P_{\_G29468} 
color 0 0 0

% Constructing a point E_{b} which is an image of the point H_{b} in the symmetry to point/line P_{\_G29468}
sim E_{b} P_{\_G29468} H_{b} 
cmark_r E_{b}



% Constructing a point H such that E_{b}H/E_{b}B=-1
towards H E_{b} B -1 
cmark_rt H
color 200 200 200
drawsegment B H 
color 0 0 0



% Constructing a point O such that NO/NH=-1
towards O N H -1 
cmark_t O
color 200 200 200
drawsegment H O 
color 0 0 0



% Constructing a line L_{\_G29730} which passes through point N and point H
line L_{\_G29730} N H 

color 200 200 200
drawline L_{\_G29730}
color 0 0 0


% Constructing a point P_{\_G29831} with coordinates (0,0)
point P_{\_G29831} 0 0 
cmark_r P_{\_G29831}

% Constructing a point P_{\_G29755} such that NP_{\_G29755}/NP_{\_G29831}=-1
towards P_{\_G29755} N P_{\_G29831} -1 
cmark_r P_{\_G29755}
color 200 200 200
drawsegment P_{\_G29831} P_{\_G29755} 
color 0 0 0

% Constructing a point P_{\_G29800} such that NP_{\_G29800}/NP_{\_G29831}=3
towards P_{\_G29800} N P_{\_G29831} 3 
cmark_r P_{\_G29800}
color 200 200 200
drawsegment N P_{\_G29800} 
color 0 0 0

% Constructing a line L_{\_G29761} which passes through point H and point P_{\_G29800}
line L_{\_G29761} H P_{\_G29800} 

color 200 200 200
drawline L_{\_G29761}
color 0 0 0


% Constructing a line L_{\_G29724} which contains the point P_{\_G29755} and is parallel to the line L_{\_G29761}
parallel L_{\_G29724} P_{\_G29755} L_{\_G29761} 

color 200 200 200
drawline L_{\_G29724}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G29724} and line L_{\_G29730}
intersec G L_{\_G29724} L_{\_G29730} 
cmark_t G



% Constructing a point M_{b} such that BM_{b}/BG=1.5
towards M_{b} B G 1.5 
cmark_rt M_{b}
color 200 200 200
drawsegment B M_{b} 
color 0 0 0


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

color 200 200 200
drawline b
color 0 0 0



% NDG:  points B and O are not the same
% Constructing a circle k(O,C) whose center is at point O and which passes through point B
circle k(O,C) O B 

color 200 200 200
drawcircle k(O,C)
color 0 0 0



% NDG:  line b and circle k(O,C) intersect
% Constructing points C and A which are in intersection of k(O,C) and b
intersec2 C A k(O,C) b 
cmark_b C
cmark_t A



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  line b and circle k(O,C) intersect; points B and O are not the same; line h_{b} and circle k(N,M_{a}) intersect; points H_{b} and N are not the same
% Determination conditions:  points H_{b} and M_{b} are not the same; points H_{b} and E_{b} must be different; points B and H_{b} are not the same