modulis

Modulis is a Latin term that appears in classical and medieval texts as the dative plural or ablative plural form of the masculine noun modulus. In Latin grammar, modulus or modulus can mean a measure, limit, or unit, and modulis functions as “to the measures,” “for the measures,” or “by/with the measures” depending on its grammatical role in a sentence.

The root modulus comes from the Latin verb modus, meaning measure, manner, or way. The modern mathematical word modulus draws its etymology from this same root, though in contemporary usage it exists as an English noun with its own plural moduli in mathematical contexts. In Latin translations, the form modulis may be encountered when a passage discusses multiple measures or quantities in the dative or ablative case.

In English-language mathematical writing, modulis is not used as a standalone concept; rather, modulus and its plural moduli are the standard terms. The form modulis is primarily of interest to scholars reading Latin texts where the word functions as a grammatical case form rather than as an independent mathematical concept. As such, modulis appears in discourse about Latin terminology, grammar, and historical translations of mathematical works rather than as a distinct modern mathematical construct. See also modulus, moduli, and Latin declension of modulus.