Construction in GCLC language

dim 120 120

point M_{b} 95 67.5
point T_{b} 94.25 68.88

color 220 0 0
fontsize 11

cmark_rt M_{b}
cmark_rt T_{b}
color 0 0 0
fontsize 10


% point C is given by the problem setting, but it has to belong to the line b which is constructible from the others objects given 
% DET:  points M_{b} and T_{b} are not the same
% Constructing a line b which passes through point M_{b} and point T_{b}
line b M_{b} T_{b} 

color 200 200 200
drawline b
color 0 0 0




% Constructing a point C such that M_{b}C/M_{b}T_{b}=0.39848445940235616
towards C M_{b} T_{b} 0.39848445940235616 
color 220 0 0
fontsize 11
cmark_b C
color 0 0 0
fontsize 10

color 200 200 200
drawsegment M_{b} T_{b} 
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


% NDG:  points A and C are not the same; points C and T_{b} are not the same; points C and midpoint([A,T_{b}]) are not the same
% Constructing a point P_{\_G40485} which is an image of the point C in a rotation around the point T_{b} for the angle 90
rotate P_{\_G40485} T_{b} 90 C 
cmark_r P_{\_G40485}
color 200 200 200
drawarc_p T_{b} C 90 
color 0 0 0

% Constructing a line L_{\_G40488} which passes through point T_{b} and point P_{\_G40485}
line L_{\_G40488} T_{b} P_{\_G40485} 

color 200 200 200
drawline L_{\_G40488}
color 0 0 0


% Constructing midpoint P_{\_G40491} of the segment CP_{\_G40485}
midpoint P_{\_G40491} C P_{\_G40485} 
cmark_r P_{\_G40491}

% Constructing a line L_{\_G40494} which passes through point A and point P_{\_G40491}
line L_{\_G40494} A P_{\_G40491} 

color 200 200 200
drawline L_{\_G40494}
color 0 0 0


% Constructing a line L_{\_G40497} which passes through point C and point P_{\_G40491}
line L_{\_G40497} C P_{\_G40491} 

color 200 200 200
drawline L_{\_G40497}
color 0 0 0


% Constructing a point P_{\_G40500} which belongs to line L_{\_G40488} and line L_{\_G40494}
intersec P_{\_G40500} L_{\_G40488} L_{\_G40494} 
cmark_r P_{\_G40500}

% Constructing a point P_{\_G40503} which belongs to line L_{\_G40488} and line L_{\_G40497}
intersec P_{\_G40503} L_{\_G40488} L_{\_G40497} 
cmark_r P_{\_G40503}

% Constructing a line L_{\_G40506} which passes through point A and point P_{\_G40503}
line L_{\_G40506} A P_{\_G40503} 

color 200 200 200
drawline L_{\_G40506}
color 0 0 0


% Constructing a line L_{\_G40509} which passes through point C and point P_{\_G40500}
line L_{\_G40509} C P_{\_G40500} 

color 200 200 200
drawline L_{\_G40509}
color 0 0 0


% Constructing a point P_{\_G40512} which belongs to line L_{\_G40506} and line L_{\_G40509}
intersec P_{\_G40512} L_{\_G40506} L_{\_G40509} 
cmark_r P_{\_G40512}

% Constructing a line L_{\_G40515} which passes through point P_{\_G40491} and point P_{\_G40512}
line L_{\_G40515} P_{\_G40491} P_{\_G40512} 

color 200 200 200
drawline L_{\_G40515}
color 0 0 0


% Constructing a point T`_{b} which belongs to line L_{\_G40515} and line b
intersec T`_{b} L_{\_G40515} b 
cmark_r T`_{b}



% Constructing midpoint P_{\_G41385} of the segment T_{b}T`_{b}
midpoint P_{\_G41385} T_{b} T`_{b} 
cmark_r P_{\_G41385}

% Generating number V[_G41333] with value 0.39848445940235616
number V[_G41333] 0.39848445940235616 


% Calculating value V[_G41354] using formula V[_G41333]*360
expression V[_G41354]  { V[_G41333]*360  } 


% Constructing a point B which is an image of the point V[_G41354] in a rotation around the point T_{b} for the angle T`_{b}
rotate B T_{b} V[_G41354] T`_{b} 
cmark_b B
color 200 200 200
drawarc_p T_{b} T`_{b} V[_G41354] 
color 0 0 0



drawsegment A B
drawsegment A C
drawsegment B C

% Non-degenerate conditions:  points A and C are not the same; points C and T_{b} are not the same; points C and midpoint([A,T_{b}]) are not the same
% Determination conditions:  points M_{b} and T_{b} are not the same