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Latin word mater comes from Proto-Indo-European *-tḗr, and later Proto-Italic *mātēr (Mother.)
*-tḗr (Proto-Indo-European)
Derives agent nouns from verbs, denoting someone or something whose role or purpose it is to perform the verb's action.
*mh₂tros (Proto-Indo-European)
*mātēr (Proto-Italic)
Mother.
mater (Latin)
Honorific title. Matron of a house. Mother (female parent). Mother (source, origin). Motherland. Nurse. Woman.