People tend to forget the real strength of roman arms, being adaptative!
Against Pompeys superior numbers in cavalry, Caeser ordered that his right flank be equiped with siege spears. They fought as a sort of phalanx for a while.
Also, horses generaly won't charge a compact mass of men, be they armed with spears, which in their minds won't probably mean a thing, or swords. What they're afraid of is obstacles. It takes a good rider and a well trained horse to jump "simple" obstacles in sports events, let alone a mass of screaming humans!
Witness for instance the campaigns of Lucullus Vs the Armenians, when 2 legions worth of troops (though very good and veteran ones) took out a large force or armenian cataphracts, because the armenians simply cahrged straight in.
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