The word “iterate” originates from the Latin verb iterare, which means “to do again” or “to repeat.” This Latin verb is derived from iterum, meaning “again.” The Proto-Indo-European root of these Latin terms is _i-tero-, stemming from the pronominal root _i-, which is associated with the concept of repetition or return.

The term entered the English language in the early 15th century. Initially, it maintained its Latin meaning of “to do again” or “to repeat.” Over time, “iterate” became commonly used in mathematics, computer science, and general language to describe the action of repeating a process or set of instructions, often with the aim of approaching a desired goal or result.

Summary of the Etymology:

• Latin Roots:

• Iterare: To do again, repeat.

• Iterum: Again.

• Proto-Indo-European Root:

• i-tero-: From the pronominal root _i-, relating to repetition.

• Entry into English:

• Early 15th Century: Adopted with the meaning “to do again, repeat.”

Usage Evolution:

• 15th Century Onwards: Used in English to signify the act of repeating an action or process.

• Modern Contexts: Common in fields like computer science for processes that involve repetition, such as loops and iterative algorithms.