The act of courting, courteously addressing someone, or acting as a beau (romantic suitor).
From 'beau' (French for handsome/beautiful man), which entered English in the 17th century. The '-ing' suffix converts the noun into a gerund or present participle describing the action of courtship.
In the 18th and 19th centuries, 'beauing' was a recognized courtship activity—young men would literally go 'beauing' around town, trying to impress young women with their charm and fashionable appearance.
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