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facet (n.)

1620s, "one side of a multi-sided body," from French facette (12c., Old French facete), diminutive of face "face, appearance" (see face (n.)). The diamond-cutting sense is the original one. Transferred and figurative use by 1820. Related: Faceted; facets.

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Definitions of facet from WordNet

facet (n.)
a distinct feature or element in a problem;
he studied every facet of the question
Synonyms: aspect
facet (n.)
a smooth surface (as of a bone or cut gemstone);
From wordnet.princeton.edu