By what I've read of it Saladin and Richard almost never actually fought a "real" set-piece battle - even the bigger ones being really more of major skirmishes that in some cases escalated beyond what was intented.

But what lost Richard the whole thing was pretty much logistics. While the Crusade against him had been gathering after he drove the Crusader Kingdoms to their coastal strongholds, Salading had been busy constructing forts, guard towers and so on wherever it was strategically meaningful. The necessity of reducing these one by one for the simple sake of securing his supply lines, all the while under pressure from Turkish light cavalry, did wonders taking all momentum and serious achievement from Richard's campaign.

Not that Medieval warfare wasn't almost all sieges, maneuver and devastating the countryside anyway. In the Levant it was just even more so from the beginning.