What I was trying to say is that the "push" in "push of pike" mainly involved pushing the long pointy things in the opposing pikemens' guts... One important job of shock troops like Doppelsoldners with their halberds and two-handed swords and the Spanish sword-and-buckler men was to create gaps in the enemy ranks which their own pikemen could slowly start widening, which would (hopefully) eventually lead to a loss of formation cohesion and therefore collapse. Mass combat is all about inducing the other guy to panic first after all, not slaying him where he stands. That's only a means to the end.