Construction in GCLC language

dim 120 120

point M_{b} 95 67.5
point H_{c} 68.91 84.83

color 220 0 0
fontsize 11

cmark_rt M_{b}
cmark_lt H_{c}
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_{c} 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_{c}
circle k(M_{b},C) M_{b} H_{c} 

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




% Generating number V[_G14869] with value 0.19902121561359196
number V[_G14869] 0.19902121561359196 


% Calculating value V[_G14890] using formula V[_G14869]*360
expression V[_G14890]  { V[_G14869]*360  } 


% Constructing a point A which is an image of the point V[_G14890] in a rotation around the point M_{b} for the angle H_{c}
rotate A M_{b} V[_G14890] H_{c} 
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10

color 200 200 200
drawarc_p M_{b} H_{c} V[_G14890] 
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 A and H_{c} are not the same
% Constructing a line c which passes through point A and point H_{c}
line c A H_{c} 

color 200 200 200
drawline c
color 0 0 0




% Constructing a point B such that AB/AH_{c}=0.19902121561359196
towards B A H_{c} 0.19902121561359196 
cmark_b B
color 200 200 200
drawsegment A H_{c} 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

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