Construction in GCLC language

dim 120 120

point C 110 40
point H_{c} 68.91 84.83
point N 72.5 61.93

color 220 0 0
fontsize 11

cmark_b C
cmark_lt H_{c}
cmark_r N
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 H_{c} 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_{c}
circle k(N,M_{a}) N H_{c} 

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



% NDG:  line h_{c} and circle k(N,M_{a}) intersect% DET:  points H_{c} and E_{c} must be different
% Constructing a point P_{\_G27014} which is a foot of the point N on the line h_{c}
foot P_{\_G27014} N h_{c} 
cmark_r P_{\_G27014}
color 200 200 200
drawline N P_{\_G27014} 
color 0 0 0

% Constructing a point E_{c} which is an image of the point H_{c} in the symmetry to point/line P_{\_G27014}
sim E_{c} P_{\_G27014} H_{c} 
cmark_r E_{c}



% Constructing a point H such that E_{c}H/E_{c}C=-1
towards H E_{c} C -1 
cmark_rt H
color 200 200 200
drawsegment C 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_{\_G27276} which passes through point N and point H
line L_{\_G27276} N H 

color 200 200 200
drawline L_{\_G27276}
color 0 0 0


% Constructing a point P_{\_G27377} with coordinates (0,0)
point P_{\_G27377} 0 0 
cmark_r P_{\_G27377}

% Constructing a point P_{\_G27301} such that NP_{\_G27301}/NP_{\_G27377}=-1
towards P_{\_G27301} N P_{\_G27377} -1 
cmark_r P_{\_G27301}
color 200 200 200
drawsegment P_{\_G27377} P_{\_G27301} 
color 0 0 0

% Constructing a point P_{\_G27346} such that NP_{\_G27346}/NP_{\_G27377}=3
towards P_{\_G27346} N P_{\_G27377} 3 
cmark_r P_{\_G27346}
color 200 200 200
drawsegment N P_{\_G27346} 
color 0 0 0

% Constructing a line L_{\_G27307} which passes through point H and point P_{\_G27346}
line L_{\_G27307} H P_{\_G27346} 

color 200 200 200
drawline L_{\_G27307}
color 0 0 0


% Constructing a line L_{\_G27270} which contains the point P_{\_G27301} and is parallel to the line L_{\_G27307}
parallel L_{\_G27270} P_{\_G27301} L_{\_G27307} 

color 200 200 200
drawline L_{\_G27270}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G27270} and line L_{\_G27276}
intersec G L_{\_G27270} L_{\_G27276} 
cmark_t G



% Constructing a point M_{c} such that CM_{c}/CG=1.5
towards M_{c} C G 1.5 
cmark_lt M_{c}
color 200 200 200
drawsegment C M_{c} 
color 0 0 0


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

color 200 200 200
drawline 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



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