Both Uses

resignation
in
Pericles's Funeral Oration
(Edited)

None of these men were enervated by wealth or hesitated to resign the pleasures of life; none of them put off the evil day in the hope, natural to poverty, that a man, though poor, may one day become rich.
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resign = quit
They resigned to hope their unknown chance of happiness; but in the face of death they resolved to rely upon themselves alone.
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resigned = accepted something undesired as unavoidable or the lesser of evils

Definitions:

(1) (resignation as in: submitted her resignation)
to quit -- especially a job or position; or a document expressing such an act
(2) (resignation as in: accepted it with resignation)
acceptance of something undesired as unavoidable or the lesser of evils
(3) (meaning too rare to warrant focus)
To resign can also more specifically mean to surrender or give up as in "I was clearly going to lose the chess game, so I resigned;" or "She resigned all pretense."