LATIN DICTIONARYLexicon Latīnum
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“conversely” in Latin

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

conversely
retrorsum (Cic., N.D., 2, 33, 84: ex terra aqua, ex aqua oritur aer, ex aere aether; deinde retrorsum vicissim ex aethere aer, etc. So, too, retro, Lucr., N.D., 1, 760). To hold good conversely, retrorsum idem valere: not to hold good conversely, in contrarium non recurrere (both Quint., Vid: under “the CONVERSE”): CONVERSION,
Act of changing, change, conversio: commutatio.
Moral change, *morum mutatio: *ad bonam frugem revocatio (from vice): mores emendatiores: vita emendatior (with reference to one’s former mode of life, Ulpius, Dig., 4, 3, 11): *accessio ad Christi doctrinam (the embracing of Christianity).
Conversion of a proposition (in logic), circumlocution by (idem) retrorsum dicere: Vid: the CONVERSE.

Quick answer

What is the Latin word for conversely?
The usual Latin words for “conversely” are retrōrsum, conversiō, commūtātiō; also Ulpius, īdem. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.