Segment
late 16th century (as a term in geometry): from Latin segmentum, from secare ‘to cut’. The verb dates from the mid 19th century.
wiktionary
From Latin segmentum(“a piece cut off, a strip, segment of the earth, a strip of tinsel”), from secare(“to cut”).
etymonline
segment (n.)
1560s, from Latin segmentum "a strip or piece cut off, a cutting, strips of colored cloth," from secare "to cut" (from PIE root *sek- "to cut"), with euphonious alteration of -c- to -g- before -m-. Latin segmentum was used in Medieval Latin as a geometry term, translating Greek tmema, and the word was first picked up in English in this sense. Meaning "segmental portion of anything circular" is from 1640s; general sense of "a division, section" is from 1762.
segment (v.)
1859, intransitive, in reference to cell division, from segment (n.). Transitive sense, "divide (something) into segments" is from 1872. Related: Segmented; segmenting.