@options;

@figure;
  A = point( 1.17 , 1.17 );
  B = point( 5.33 , -1.2 );
  C = point( 2.5 , -3 );
  dAB = droite( A , B );
  dAC = droite( A , C );
  dBC = droite( B , C );
  M = pointsur( dAB , 0.78 );
  paraMdBC = parallele( M , dBC );
  N = intersection( paraMdBC , dAC );
  texte1 = texte( -6.1 , 5.8 ,"les droites (MN) et (BC) sont paralleles")  { magenta , dec2 };
  var disAM = AM { 3.75843250105621 };
  p_disAM = milieu( A , M )  { i };
  t_disAM1 = texte( p_disAM ,"$disAM$")  { magenta , dec2 };
  var disAB = AB { 4.79189129908247 };
  p_disAB = milieu( A , B )  { i };
  t_disAB1 = texte( p_disAB ,"$disAB$")  { magenta , dec2 };
  var disAN = AN { 3.43129579287919 };
  p_disAN = milieu( A , N )  { i };
  t_disAN1 = texte( p_disAN ,"$disAN$")  { magenta , dec2 };
  var disAC = AC { 4.37480158280223 };
  p_disAC = milieu( A , C )  { i };
  t_disAC1 = texte( p_disAC ,"$disAC$")  { magenta , dec2 };
  var AMB = disAM/disAB { 0.784331752637182 };
  var ANC = disAN/disAC { 0.784331752637182 };
  texte2 = texte( -5.1 , -2 ,"AM/AB = $AMB$")  { magenta , dec2 };
  texte3 = texte( -5.2 , -3 ,"AN/AC = $ANC$")  { magenta , dec2 };
  texte4 = texte( -6.1 , 4.9 ,"FAISONS VARIER LE POINT M SUR LA DROITE (AB) ")  { magenta , dec2 };
  texte5 = texte( -6.3 , 4 ," ET OBSERVONS LES RAPPORTS AM/AB et AN/AC")  { magenta , dec2 };