Accursed, damned, or confounded; used as a mild euphemistic curse word to express frustration about something troublesome.
From 'consarn' (a euphemistic oath) with the past participle suffix '-ed,' creating an adjective; American dialectal and frontier speech.
Consarned is straight out of American frontier literature and Mark Twain—you can almost hear an exasperated character saying 'That consarned horse!' when something goes wrong, and it's just colorful enough that it wouldn't get them in trouble with proper society!
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