Peroration

The verb 'to perorate and the noun peroration are formed from the Latin roots per- (~ 'thoroughly' or 'to the end') and ōrāre, ~ 'to make a speech', 'to declaim', 'to orate'. They have two branches of meaning.

• The older meaning, which directly reflects the Latin, is 'to declaim', 'to speak forcefully and persuasively', 'to deliver a speech', 'to argue a case to its conclusion', or even 'to harangue' (Lewis and Short). OED, 2005, adds the note "Now often with the connotation of a long-winded or pompous manner."
• Since the eighteenth century in English 'to perorate' has also been used, as it was in Latin by Cicero among others, to mean 'to sum up' or 'to round off' a speech; to bring a speech to its conclusion'. The principal meaning of the Latin noun peroratio given by Lewis and Short is "the finishing part, the close or winding up of a speech".

Don't confuse, by typographical error or otherwise, perorate/peroration with proration/prorate.

For peroratio as an older term in rhetoric, see also Large-scale Figures of meaning