Construction in GCLC language

dim 120 120

point A 80 95
point H_{a} 80 40
point N 72.5 61.93

color 220 0 0
fontsize 11

cmark_t A
cmark_b H_{a}
cmark_r N
color 0 0 0
fontsize 10

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

color 200 200 200
drawline h_{a}
color 0 0 0



% NDG:  points H_{a} 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_{a}
circle k(N,M_{a}) N H_{a} 

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



% NDG:  line h_{a} and circle k(N,M_{a}) intersect% DET:  points H_{a} and E_{a} must be different
% Constructing a point P_{\_G11355} which is a foot of the point N on the line h_{a}
foot P_{\_G11355} N h_{a} 
cmark_r P_{\_G11355}
color 200 200 200
drawline N P_{\_G11355} 
color 0 0 0

% Constructing a point E_{a} which is an image of the point H_{a} in the symmetry to point/line P_{\_G11355}
sim E_{a} P_{\_G11355} H_{a} 
cmark_r E_{a}



% Constructing a point H such that E_{a}H/E_{a}A=-1
towards H E_{a} A -1 
cmark_rt H
color 200 200 200
drawsegment A 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_{\_G11617} which passes through point N and point H
line L_{\_G11617} N H 

color 200 200 200
drawline L_{\_G11617}
color 0 0 0


% Constructing a point P_{\_G11718} with coordinates (0,0)
point P_{\_G11718} 0 0 
cmark_r P_{\_G11718}

% Constructing a point P_{\_G11642} such that NP_{\_G11642}/NP_{\_G11718}=-1
towards P_{\_G11642} N P_{\_G11718} -1 
cmark_r P_{\_G11642}
color 200 200 200
drawsegment P_{\_G11718} P_{\_G11642} 
color 0 0 0

% Constructing a point P_{\_G11687} such that NP_{\_G11687}/NP_{\_G11718}=3
towards P_{\_G11687} N P_{\_G11718} 3 
cmark_r P_{\_G11687}
color 200 200 200
drawsegment N P_{\_G11687} 
color 0 0 0

% Constructing a line L_{\_G11648} which passes through point H and point P_{\_G11687}
line L_{\_G11648} H P_{\_G11687} 

color 200 200 200
drawline L_{\_G11648}
color 0 0 0


% Constructing a line L_{\_G11611} which contains the point P_{\_G11642} and is parallel to the line L_{\_G11648}
parallel L_{\_G11611} P_{\_G11642} L_{\_G11648} 

color 200 200 200
drawline L_{\_G11611}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G11611} and line L_{\_G11617}
intersec G L_{\_G11611} L_{\_G11617} 
cmark_t G



% 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


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

color 200 200 200
drawline 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



% 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; line h_{a} and circle k(N,M_{a}) intersect; points H_{a} and N are not the same
% Determination conditions:  points H_{a} and M_{a} are not the same; points H_{a} and E_{a} must be different; points A and H_{a} are not the same