Construction in GCLC language
dim 120 120
point M_{a} 65 40
point H_{c} 68.91 84.83
color 220 0 0
fontsize 11
cmark_b M_{a}
cmark_lt H_{c}
color 0 0 0
fontsize 10
% point C is given by the problem setting, but it has to belong to the circle k(M_{a},B) which is constructible from the others objects given
% NDG: points H_{c} and M_{a} are not the same
% Constructing a circle k(M_{a},B) whose center is at point M_{a} and which passes through point H_{c}
circle k(M_{a},B) M_{a} H_{c}
color 200 200 200
drawcircle k(M_{a},B)
color 0 0 0
% Generating number V[_G43205] with value 0.0373068586366939
number V[_G43205] 0.0373068586366939
% Calculating value V[_G43226] using formula V[_G43205]*360
expression V[_G43226] { V[_G43205]*360 }
% Constructing a point C which is an image of the point V[_G43226] in a rotation around the point M_{a} for the angle H_{c}
rotate C M_{a} V[_G43226] H_{c}
color 220 0 0
fontsize 11
cmark_b C
color 0 0 0
fontsize 10
color 200 200 200
drawarc_p M_{a} H_{c} V[_G43226]
color 0 0 0
% Constructing a point B such that CB/CM_{a}=2
towards B C M_{a} 2
cmark_b B
color 200 200 200
drawsegment C B
color 0 0 0
% DET: points H_{c} and B are not the same
% Constructing a line c which passes through point H_{c} and point B
line c H_{c} B
color 200 200 200
drawline c
color 0 0 0
% Constructing a point A such that H_{c}A/H_{c}B=0.0373068586366939
towards A H_{c} B 0.0373068586366939
cmark_t A
color 200 200 200
drawsegment H_{c} B
color 0 0 0
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions: points H_{c} and M_{a} are not the same
% Determination conditions: points H_{c} and B are not the same