-D'après la relation de Chasles : NM = NA + AM NM = -AN + AM NM = (-3/4) AB + (3/2) AC
Je veux exprimer AP pour pouvoir exprimer ensuite NP : AN = (3/4) AB = (3/4) (AP+PB) AN = (3/4) AP + (3/4) PB d'où AP = (4/3) (AN - (3/4) PB) AP = (4/3) AN - PB = (4/3) AN + BP AP = AB + (1/2) BC
-D'après Chasles : NP = NA + AP NP = -(3/4) AB + AB + (1/2) BC NP = (1/4) AB + (1/2) BC NP = (1/4) AB + (1/2) BA + (1/2) AC NP = (1/4) AB - (1/2) AB + (1/2) AC NP = (-1/2) AB + (1/2) AC
Je me suis peut-être compliqué la vie, mais ça marche...
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-D'après la relation de Chasles :NM = NA + AM
NM = -AN + AM
NM = (-3/4) AB + (3/2) AC
Je veux exprimer AP pour pouvoir exprimer ensuite NP :
AN = (3/4) AB = (3/4) (AP+PB)
AN = (3/4) AP + (3/4) PB
d'où AP = (4/3) (AN - (3/4) PB)
AP = (4/3) AN - PB = (4/3) AN + BP
AP = AB + (1/2) BC
-D'après Chasles :
NP = NA + AP
NP = -(3/4) AB + AB + (1/2) BC
NP = (1/4) AB + (1/2) BC
NP = (1/4) AB + (1/2) BA + (1/2) AC
NP = (1/4) AB - (1/2) AB + (1/2) AC
NP = (-1/2) AB + (1/2) AC
Je me suis peut-être compliqué la vie, mais ça marche...