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 A 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[_G13069] with value 0.526308932170822
number V[_G13069] 0.526308932170822 


% Calculating value V[_G13090] using formula V[_G13069]*360
expression V[_G13090]  { V[_G13069]*360  } 


% Constructing a point A which is an image of the point V[_G13090] in a rotation around the point M_{b} for the angle H_{a}
rotate A M_{b} V[_G13090] H_{a} 
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10

color 200 200 200
drawarc_p M_{b} H_{a} V[_G13090] 
color 0 0 0



% Constructing a point C such that AC/AM_{b}=2
towards C A M_{b} 2 
cmark_b C
color 200 200 200
drawsegment A C 
color 0 0 0


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

color 200 200 200
drawline a
color 0 0 0




% Constructing a point B such that H_{a}B/H_{a}C=0.526308932170822
towards B H_{a} C 0.526308932170822 
cmark_b B
color 200 200 200
drawsegment H_{a} C 
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 H_{a} and C are not the same