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Giac_maj/giac-1.4.9/examples/geo/morley2.fig 681 Bytes
6663b6c9   adorian   projet complet av...
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  A:= point(-0.795-1.2*i); 
  B:= point(1.89-1.68*i);
  C:= point(0.722+1.9*i);
  a1:=(angle(A,B,C))/3;  
  b1:=(angle(B,C,A))/3;  
  c1:=eval(pi/3-a1-b1);  
  AD1:=droite(A,A+3*(B-A)*exp(i*a1));
  AD3:=droite(A,A+2*(B-A)*exp(i*(a1+pi/3)));
  AD5:=droite(A,A+2*(B-A)*exp(i*(a1+2*pi/3)));
  BD1:=droite(B,B-2*(B-A)*exp(-2*i*b1));
  BD3:=droite(B,B-3*(B-A)*exp(i*(-2*b1+pi/3)));
  BD5:=droite(B,B+2*(B-A)*2*exp(i*(-2*b1+2*pi/3)));
  M:=inter(rotation(A,a1,droite(A,B)),rotation(B,-2*b1,droite(B,A)))[0];  
  N:=inter(rotation(A,a1+pi/3,droite(A,B)),rotation(B,-2*b1+pi/3,droite(B,A)))[0];  
  O:=inter(rotation(A,a1+2*pi/3,droite(A,B)),rotation(B,-2*b1+2*pi/3,droite(B,A)))[0]; 
  triangle(M,N,O);
  triangle(A,B,C);