Once we move into the Patristic period, there is undoubted evidence for new coinings of words (particularly compounds) as a response to the needs of the theological debates which occurred.

I bruised my shin th' other day with playing at sword and dagger with a master of fence

Any ANALYTIC FUNCTION is smooth. But a smooth function is not necessarily analytic.

… Cain would shout ‘Oh, lookee, lookee pa! what’s that?’