Construction in GCLC language

dim 120 120

point M_{c} 50 67.5
point H_{b} 89.36 77.83

color 220 0 0
fontsize 11

cmark_lt M_{c}
cmark_rt H_{b}
color 0 0 0
fontsize 10


% point B is given by the problem setting, but it has to belong to the circle k(M_{c},A) which is constructible from the others objects given 
% NDG:  points H_{b} and M_{c} are not the same
% Constructing a circle k(M_{c},A) whose center is at point M_{c} and which passes through point H_{b}
circle k(M_{c},A) M_{c} H_{b} 

color 200 200 200
drawcircle k(M_{c},A)
color 0 0 0




% Generating number V[_G30038] with value 0.12101414637856794
number V[_G30038] 0.12101414637856794 


% Calculating value V[_G30059] using formula V[_G30038]*360
expression V[_G30059]  { V[_G30038]*360  } 


% Constructing a point B which is an image of the point V[_G30059] in a rotation around the point M_{c} for the angle H_{b}
rotate B M_{c} V[_G30059] H_{b} 
color 220 0 0
fontsize 11
cmark_b B
color 0 0 0
fontsize 10

color 200 200 200
drawarc_p M_{c} H_{b} V[_G30059] 
color 0 0 0



% Constructing a point A such that BA/BM_{c}=2
towards A B M_{c} 2 
cmark_t A
color 200 200 200
drawsegment B A 
color 0 0 0


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

color 200 200 200
drawline b
color 0 0 0




% Constructing a point C such that H_{b}C/H_{b}A=0.12101414637856794
towards C H_{b} A 0.12101414637856794 
cmark_b C
color 200 200 200
drawsegment H_{b} A 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  points H_{b} and M_{c} are not the same
% Determination conditions:  points H_{b} and A are not the same