Construction in GCLC language

dim 120 120

point M_{b} 95 67.5
point H_{a} 80 40

color 220 0 0
fontsize 11

cmark_rt M_{b}
cmark_b H_{a}
color 0 0 0
fontsize 10


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

color 200 200 200
drawcircle k(M_{b},C)
color 0 0 0




% Generating number V[_G49660] with value 0.34701820603810174
number V[_G49660] 0.34701820603810174 


% Calculating value V[_G49681] using formula V[_G49660]*360
expression V[_G49681]  { V[_G49660]*360  } 


% Constructing a point C which is an image of the point V[_G49681] in a rotation around the point M_{b} for the angle H_{a}
rotate C M_{b} V[_G49681] H_{a} 
color 220 0 0
fontsize 11
cmark_b C
color 0 0 0
fontsize 10

color 200 200 200
drawarc_p M_{b} H_{a} V[_G49681] 
color 0 0 0



% Constructing a point A such that CA/CM_{b}=2
towards A C M_{b} 2 
cmark_t A
color 200 200 200
drawsegment C A 
color 0 0 0


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

color 200 200 200
drawline a
color 0 0 0




% Constructing a point B such that CB/CH_{a}=0.34701820603810174
towards B C H_{a} 0.34701820603810174 
cmark_b B
color 200 200 200
drawsegment C H_{a} 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

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