LATIN DICTIONARYLexicon Latīnum
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“progeny” in Latin

The English word progeny itself goes back to Latin gignō, through prōgeniēs.

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

progeny
progenies (☞ proles is poetical; prosapia obsolate): liberi, nati, plur., (children): posteri, plur.; posteritas (posterity).

Quick answer

What is the Latin word for progeny?
The usual Latin words for “progeny” are prōgeniēs, līber, nātus; also posterus, posteritās. 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.