ETYMOLOGY
from. obs. French consequentieux, from Latin consequentia: + -ous
EXAMPLE
“…Now when the politicke Ambassadour, had wrought Prince Temeriske, as he desired, he then perswades with Abbas, that the Georgians hated him, that their King had entertained discourse with the Grand Signior, and sought but an aduantage to betray his trust, that if his words seemed of no moment, the matter was not consequentious, and his employment carried him, to other ends then forreigne Obiects. …”
From: A Relation of some Yeares Trauaile begunne anno 1626. Into Afrique and the greater Asia
By Thomas Herbert, 1634
Lexicophilia 