The Collaborative International Dictionary of English v.0.48:
Bethink \Be*think"\, v. t. [imp. & p. p. Bethought; p. pr. &
vb. n. Bethinking.] [AS. be[thorn]encan; pref. be- +
[thorn]encan to think. See Think.]
To call to mind; to recall or bring to recollection,
reflection, or consideration; to think; to consider; --
generally followed by a reflexive pronoun, often with of or
that before the subject of thought.
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I have bethought me of another fault. --Shak.
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The rest . . . may . . . bethink themselves, and
recover. --Milton.
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We bethink a means to break it off. --Shak.
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Syn: To recollect; remember; reflect.
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