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Khalid was nicknamed the sword of god, De Principatibus IS The Prince, for the contradictions, i'm not sure, if you still remember the chapter's number, i can check it.
At Gaugamella, the Achaemenids did tried to surround Alexander but they dispersed theirs forces too much, their formation was heavy, too ritualised and manoeuvring theirs forces was way too slow. As for Xiang Yu, he bringed his downfall to himself.
And the battle of bastard is implausible, the forces bringed by Davos were much lighter than Ramezy's infantry and moved at the same time yet they only watched as they were getting surrounded by slower than them. There is another big flaw but can be explained by the hurried advance of Jon's cavalry:
If two armies were to fight without forming tight ranks, the smaller would be massacred, therefore, armies, including cavalry will advance in a tight formation, the smaller army can avoid being massacred in a melee and the bigger avoid seeing it's ranks being cut. During a traditional battle, both armies will never mix with each others... And the fight won't be that impressive, actually. first rank of each army will face the first enemy rank, if the army is too pressed and things things seems turning bad, most of the men will be able to retreat safely.
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