Farewell vs. Adieu

Farewell and Adieu Definitions
Farewell
Used to express goodbye.
Adieu
Used to express farewell.
Farewell
An acknowledgment at parting; a goodbye.
Adieu
A farewell.
Farewell
The act of departing or taking leave.
Adieu
Said to wish a final farewell; goodbye.
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Farewell
A wish of happiness or safety at parting, especially a permanent departure
Adieu
A farewell, a goodbye; especially a fond farewell, or a lasting or permanent farewell.
We bid our final adieus to our family, then boarded the ship, bound for America.
Farewell
A departure; the act of leaving
Adieu
Good-by; farewell; an expression of kind wishes at parting.
Farewell
Parting, valedictory, final.
A farewell discourse;
The band's farewell tour
Adieu
A farewell; commendation to the care of God at parting.
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Farewell
Goodbye.
He said "Farewell!" and left.
Adieu
A farewell remark;
They said their good-byes
Farewell
To bid farewell or say goodbye.
Farewell
Go well; good-by; adieu; - originally applied to a person departing, but by custom now applied both to those who depart and those who remain. It is often separated by the pronoun; as, fare you well; and is sometimes used as an expression of separation only; as, farewell the year; farewell, ye sweet groves; that is, I bid you farewell.
So farewell hope, and with hope, farewell fear.
Fare thee well! and if forever,Still forever fare thee well.
Farewell
A wish of happiness or welfare at parting; the parting compliment; a good-by; adieu.
Farewell
Act of departure; leave-taking; a last look at, or reference to something.
And takes her farewell of the glorious sun.
Before I take my farewell of the subject.
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Farewell
Parting; valedictory; final; as, a farewell discourse; his farewell bow.
Leans in his spear to take his farewell view.
Farewell
An acknowledgment or expression of goodwill at parting
Farewell
The act of departing politely;
He disliked long farewells
He took his leave
Parting is such sweet sorrow