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Old English word magan comes from Proto-Germanic *-þiz, and later Proto-Germanic *maganą (To be able, may.)
*-þiz (Proto-Germanic)
Forms abstract nouns from verb roots, usually from strong verbs.
*maganą (Proto-Germanic)
To be able, may.
*megʰ- (Proto-Indo-European)
power
*(me)mógʰe (Proto-Indo-European)
To have power, to be able to.
magan (Old English)
Avail, prevail. May, to be able.