Construction in GCLC language

dim 120 120

point A 80 95
point H 80 72.73
point T_{a} 70.86 40

color 220 0 0
fontsize 11

cmark_t A
cmark_rt H
cmark_b T_{a}
color 0 0 0
fontsize 10


% Constructing a point E_{a} such that AE_{a}/AH=0.5
towards E_{a} A H 0.5 
cmark_r E_{a}
color 200 200 200
drawsegment A H 
color 0 0 0


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

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



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

color 200 200 200
drawline s_{a}
color 0 0 0




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

color 200 200 200
drawline a
color 0 0 0



% NDG:  points A and T_{a} are not the same; points H and A are not the same% DET:  points A and T_{a} are not the same
% Constructing an angle V[_G17090] which is equal to the angle HAT_{a}
angle_o V[_G17090] H A T_{a} 


% Calculating value angle[_G17169] using formula 1/pow(2,0)*V[_G17090]+0/pow(2,0)*180
expression angle[_G17169]  { 1/pow(2,0)*V[_G17090]+0/pow(2,0)*180  } 


% Constructing a point P_{\_G17166} which is an image of the point T_{a} in a rotation around the point A for the angle 1/pow(2,0)*V[_G17090]+0/pow(2,0)*180
rotate P_{\_G17166} A angle[_G17169] T_{a} 
cmark_r P_{\_G17166}
color 200 200 200
drawarc_p A T_{a} angle[_G17169] 
color 0 0 0

% Constructing a line AO which passes through point A and point P_{\_G17166}
line AO A P_{\_G17166} 

color 200 200 200
drawline AO
color 0 0 0




% Constructing a line m(H_{b}H_{c}) which contains the point E_{a} and is parallel to the line AO
parallel m(H_{b}H_{c}) E_{a} AO 

color 200 200 200
drawline m(H_{b}H_{c})
color 0 0 0



% NDG:  lines m(H_{b}H_{c}) and a are not parallel% DET:  lines m(H_{b}H_{c}) and a are not the same
% Constructing a point M_{a} which belongs to line m(H_{b}H_{c}) and line a
intersec M_{a} m(H_{b}H_{c}) a 
cmark_b M_{a}



% Constructing a line L_{\_G17685} which passes through point M_{a} and point A
line L_{\_G17685} M_{a} A 

color 200 200 200
drawline L_{\_G17685}
color 0 0 0


% Constructing a point P_{\_G17786} with coordinates (0,0)
point P_{\_G17786} 0 0 
cmark_r P_{\_G17786}

% Constructing a point P_{\_G17710} such that M_{a}P_{\_G17710}/M_{a}P_{\_G17786}=1
towards P_{\_G17710} M_{a} P_{\_G17786} 1 
cmark_r P_{\_G17710}
color 200 200 200
drawsegment M_{a} P_{\_G17710} 
color 0 0 0

% Constructing a point P_{\_G17755} such that M_{a}P_{\_G17755}/M_{a}P_{\_G17786}=3
towards P_{\_G17755} M_{a} P_{\_G17786} 3 
cmark_r P_{\_G17755}
color 200 200 200
drawsegment M_{a} P_{\_G17755} 
color 0 0 0

% Constructing a line L_{\_G17716} which passes through point A and point P_{\_G17755}
line L_{\_G17716} A P_{\_G17755} 

color 200 200 200
drawline L_{\_G17716}
color 0 0 0


% Constructing a line L_{\_G17679} which contains the point P_{\_G17710} and is parallel to the line L_{\_G17716}
parallel L_{\_G17679} P_{\_G17710} L_{\_G17716} 

color 200 200 200
drawline L_{\_G17679}
color 0 0 0


% Constructing a point G which belongs to line L_{\_G17679} and line L_{\_G17685}
intersec G L_{\_G17679} L_{\_G17685} 
cmark_t G



% Constructing a point O such that HO/HG=1.5
towards O H G 1.5 
cmark_t O
color 200 200 200
drawsegment H O 
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; lines m(H_{b}H_{c}) and a are not parallel; points A and T_{a} are not the same; points H and A are not the same
% Determination conditions:  lines m(H_{b}H_{c}) and a are not the same; points A and T_{a} are not the same; points A and T_{a} are not the same; points A and H are not the same