Etymology
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fixate (v.)
1885, "to fix, make stable," from fix (v.) + -ate. Meaning "to gaze upon" is from 1889. Psychological sense is from 1926, originally in Freudian theory, in this case perhaps a back-formation from fixation. Meaning "become fixed" is from 1888. Related: Fixated; fixating.
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*dheigw- 

Proto-Indo-European root meaning "to stick, fix." 

It forms all or part of: affix; crucifix; crucify; dig; dike; ditch; fibula; fiche; fichu; fix; fixate; fixation; fixity; fixture; infibulate; infibulation; microfiche; prefix; suffix; transfix.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit dehi- "wall;" Old Persian dida "wall, stronghold, fortress," Persian diz; Latin figere "to fix, fasten, drive, thrust in; pierce through, transfix;" Lithuanian dygstu, dygti "germinate;" Old Irish dingid "presses, thrusts down;" Old English dic "trench, ditch," Dutch dijk "dam." 

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