However, the real and definitive French victory happened when the French used a weapon which cancelled the long bow: artillery. To be efficient, the archers had to be grouped. Doing that, they became sitting ducks for the cannons…
That brings back some memories form AOEII, I think it was La Hire or someone else who said "English longbows are good, but French cannon is even better!". Then you got some bombards to blast down the walls and the english.