late 14c., fibre "a lobe of the liver," also "entrails," from Medieval Latin fibre, from Latin fibra "a fiber, filament; entrails," which is of uncertain origin, perhaps related to Latin filum "a thread, string" (from PIE root *gwhi- "thread, tendon") or to Latin findere "to split" (from PIE root *bheid- "to split").
Meaning "thread-like structure in animal bodies" is from c. 1600 (in plants, 1660s); hence figurative use in reference to force or toughness (1630s). As "textile material," 1827. Fiberboard is from 1897; Fiberglas is attested from 1937, U.S. registered trademark name; in generic use, with lower-case f- and double -s, by 1941. Fiber optics is from 1956.
-oid
word-forming element meaning "like, like that of, thing like a ______," from Latinized form of Greek -oeidēs (three syllables), from eidos "form," related to idein "to see," eidenai "to know;" literally "to see" (from PIE *weid-es-, from root *weid- "to see"). The -o- is connective or a stem vowel from the previous element. Often implying an incomplete or imperfect resemblance to the thing indicated.