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 A 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[_G13237] with value 0.5061251123293976
number V[_G13237] 0.5061251123293976 


% Calculating value V[_G13258] using formula V[_G13237]*360
expression V[_G13258]  { V[_G13237]*360  } 


% Constructing a point A which is an image of the point V[_G13258] in a rotation around the point M_{c} for the angle H_{b}
rotate A M_{c} V[_G13258] H_{b} 
color 220 0 0
fontsize 11
cmark_t A
color 0 0 0
fontsize 10

color 200 200 200
drawarc_p M_{c} H_{b} V[_G13258] 
color 0 0 0



% Constructing a point B such that AB/AM_{c}=2
towards B A M_{c} 2 
cmark_b B
color 200 200 200
drawsegment A B 
color 0 0 0


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

color 200 200 200
drawline b
color 0 0 0




% Constructing a point C such that AC/AH_{b}=0.5061251123293976
towards C A H_{b} 0.5061251123293976 
cmark_b C
color 200 200 200
drawsegment A H_{b} 
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 A and H_{b} are not the same