different between recoupment vs recoup

English

From recoup +? -ment

recoupment (countable and uncountable, plural recoupments)

A recovery of what had been lost; reimbursement.
- 1879, John Neilson Taylor, A Treatise on the American Law of Landlord and Tenant, page 321
  The doctrine of recoupment is of recent growth, hardly preceding in its origin the beginning of the present century.
(law) A reduction of the plaintiff's damages by keeping out a part.

French récupérer

recoup (third-person singular simple present recoups, present participle recouping, simple past and past participle recouped)

To make back, as an investment.
To recover from an error.
(law) To keep back rightfully (a part), as if by cutting off, so as to diminish a sum due; to take off (a part) from damages; to deduct.
A landlord recouped the rent of premises from damages awarded to the plaintiff for eviction.
(transitive) To reimburse; to indemnify; often used reflexively and in the passive.
- 1856-1870, James Anthony Froude, History of England from the Fall of Wolsey to the Defeat of the Spanish Armada
  Elizabeth had lost her venture; but if she was bold, she might recoup herself at Philip's cost.
- 1887, George Campbell, 8th Duke of Argyll, Scotland as it was and as it is
  Industry is sometimes recouped for a small price by extensive custom.

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