That's exactly it, you have no real idea where your pike is pointing, but the graph suggests that you do have exact knowledge of the position of the pike and that you choose to point it only forward, whereas the legionary facing you also has exact knowledge of the pikes he's facing and that there won't be another one coming from the side to stab him in the side while he's concentrating on the pikes in front.
The problem with the sarissa phalanx is that once you're past the sarissa point, there are four more left.
Depends on training and on the balance of the sarissa. With a carrying sling on his shoulder providing additional support and the shield hanging from the strap the pikeman will have a big part of the load removed from his hands. I haven't held a sarissa, but I'd say that with training you won't be outlasted by the legionary, who has a 8-10 kilo of shield in his left arm and a 0.8-1 kilogram sword in the other and is trying to either hack the pike heads off or move between two adjacent pikesOf course, the problem you are facing is that when the legionary tires, he will be substituted by another fresh one, whereas it's not entirely certain someone will take your place. At best you may look forward to a second pike to replace the first broken one
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