So, let me see if I can remember the infantry/cavalry line, from top to bottom:
Plug bayonet Carbines
Ring bayonet Square formation
Some kind of organisational thing
Socket bayonet Cadence marching Wedge formation Rank firing
Some improved bayonet Diamond formation
Improved supply org. Advancing fire
Light inf. doctrine Shortened carbines
Platoon fire
Machined rifling
(Darn, don't remember) Percussion cap
Edit: oh, you can finish it if you have lots of schools. By dint of conquest, I have ~8 and I'm nearly done (it's ~1740).
Edit2: Can anyone think of a way of figuring out if the one province minors have truncated tech trees or very advanced tech? By about halfway through the game, I could trade any military tech to them.
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