Edwards curves, not Edwardian. They didn't have those curves in 1905.
Curve25519 isn't an Edwards curve. Ed25519 is the equivalent Edwards curve. Curve25519 is a Montgomery curve. NaCL uses C25519 for DH, and Ed25519 for signing.
I'm just responding to the nerd snipe (and eagerly awaiting my comeuppance from 'pbsd). You're right (in advance) that the point of using NaCL is that you don't need to know any of this trivia.