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The Collaborative International Dictionary
Bemeet

Bemeet \Be*meet"\, v. t. [imp. & p. p. Bemet; p. pr. & vb. n. Bemeeting.] To meet. [Obs.]

Our very loving sister, well bemet.
--Shak.

Wiktionary
bemeet

vb. (context ambitransitive obsolete English) To meet with.