Etymology
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anodyne (adj.)

"having power to relieve pain," 1540s, from Medieval Latin anodynus "pain-removing, allaying pain," from Latin anodynus "painless," from Greek anodynos "free from pain," from an- "without" (see an- (1)) + odyne "pain, torment" (of the body or mind), a word of uncertain origin, evidently Indo-European, but none of the proposed etymologies satisfies Beekes. Some suggest it is a suffixed form of PIE root *ed- "to eat" (compare Lithuanian ėdžioti "to devour, bite," ėdžiotis "to suffer pain").

As a noun, "substance which alleviates pain," 1540s; in old slang, frequently a euphemism for "death" (as the final relief from the mental pain or distress of life) as in anodyne necklace "hangman's noose." Related: Anodynous.

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*ed- 

Proto-Indo-European root meaning "to eat," originally "to bite." 

It forms all or part of: alfalfa; anodyne; comedo; comestible; eat; edacious; edible; escarole; esculent; esurient; etch; ettin; fret (v.); frass; jotun; obese; obesity; ort; postprandial; prandial.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit admi "I eat;" Avestan ad- "to eat;" Greek edo "I eat;" Latin edere "to eat;" Lithuanian ėdu "I eat," ėdžioti "to devour, bite;" Hittite edmi "I eat," adanna "food;" Armenian utem "I eat;" Old Church Slavonic jasti "to eat," Russian jest "to eat;" Old Irish ithim "I eat;" Gothic itan, Old Swedish and Old English etan, Old High German essan "to eat."  

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