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Latin word augeo comes from Proto-Indo-European *h₂weg-, and later Proto-Italic *augeō (To enlarge. To increase.)
*h₂weg- (Proto-Indo-European)
*h₂owg-éye- (Proto-Indo-European)
*augeō (Proto-Italic)
To enlarge. To increase.
augeo (Latin)
(figuratively) I exalt, praise. I enlarge, spread, expand. I exaggerate. I honor, enrich. I increase, augment. I lengthen.