Dutch word exordium comes from Latin de, Latin ordiri, and later Latin exordior (I begin, commence (originally in weaving).)

Detailed word origin of exordium

Dictionary entry	Language	Definition
de	Latin (lat)	(Late Latin) of persons. From, away from, down from, out of; in general to indicate the person or place from which any thing is taken, etc., with verbs of taking away, depriving, demanding, requesting, inquiring, buying; as capere, sumere, emere, quaerere, discere, trahere, etc., and their compounds.. From, away from, to indicate the place from which someone or something departs or [...]
ordiri	Latin (lat)
exordior	Latin (lat)	I begin, commence (originally in weaving).
exordium	Latin (lat)	Beginning, commencement. Foundation, creation. Introduction, preface.
exordium	Dutch (nld)	Introduction, preface (to an essay or plea).

Words with the same origin as exordium