Chiasmus vs. Antimetabole: What's the Difference?

Chiasmus and Antimetabole Definitions
Chiasmus
A rhetorical inversion of the second of two parallel structures, as in "Each throat / Was parched, and glazed each eye" (Samuel Taylor Coleridge).
Antimetabole
(rhetoric) The technique of reversal, where accentuated by reversal of words, actions or grammatical structure.
Chiasmus
(rhetoric) An inversion of the relationship between the elements of phrases.
Antimetabole
A figure in which the same words or ideas are repeated in transposed order.
Chiasmus
An inversion of the order of words or phrases, when repeated or subsequently referred to in a sentence
If e'er to bless thy sonsMy voice or hands deny,These hands let useful skill forsake,This voice in silence die.
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Chiasmus
Inversion in the second of two parallel phrases