Etymology
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hagio- 
before vowels hagi-, word-forming element meaning "of a saint, saintly, holy," from Greek hagios "sacred, devoted to the gods" (of things), "holy, pure" (of persons), in Ecclesiastical Greek, "a saint," which is perhaps from PIE *yag- "to worship, reverence" (source also of Greek agnos "chaste," Sanskrit yajati "reveres (a god) with sacrifices, worships," Old Persian ayadana "temple").
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-fy 

word-forming element meaning "make, make into," from French -fier, from Latin -ficare, combining form of facere "to make" (from PIE root *dhe- "to set, put").

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deoxy- 

also desoxy-, word-forming element used to make chemical names for compounds which contain fewer oxygen atoms than other compounds, from de- + first two syllables of oxygen.

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phyto- 
word-forming element meaning "plant," from Greek phyton "plant," literally "that which has grown," from phyein "to bring forth, make grow," from PIE root *bheue- "to be, exist, grow."
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de- 

active word-forming element in English and in many verbs inherited from French and Latin, from Latin de "down, down from, from, off; concerning" (see de), also used as a prefix in Latin, usually meaning "down, off, away, from among, down from," but also "down to the bottom, totally" hence "completely" (intensive or completive), which is its sense in many English words.

As a Latin prefix it also had the function of undoing or reversing a verb's action, and hence it came to be used as a pure privative — "not, do the opposite of, undo" — which is its primary function as a living prefix in English, as in defrost (1895), defuse (1943), de-escalate (1964), etc. In some cases, a reduced form of dis-.

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-facient 
word-forming element meaning "a doer, one who or that which does," from Latin -facientem (nominative -faciens), combining form of present participle of facere "to make" (from PIE root *dhe- "to set, put").
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-fication 
word-forming element meaning "a making or causing," from Latin -ficationem (nominative -ficatio), forming nouns of action from verbs in -ficare (compare -fy), combining form of facere "to make," from PIE root *dhe- "to set, put."
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psychro- 

word-forming element meaning "cold, characterized by cold, capable of enduring low temperatures," from Latinized form of Greek psykhros "cold," from psykhrein "blow, make cool or cold," which is perhaps from the same root as yielded psyche.

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para- (2)

word-forming element of Latin origin meaning "defense, protection against; that which protects from," from Italian para, imperative of parare "to ward off," from Latin parare "make ready" (from PIE root *pere- (1) "to produce, procure"). It figures in parachute, parasol, parapet, etc.

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phylo- 

before vowels phyl-, modern word-forming element, mostly in the sciences, often meaning "phylum," from Greek phylon, phylē "a tribe," also a political subdivision in ancient Athens, from base of phyein "to bring forth, produce, make to grow," whence also physis "nature" (from PIE root *bheue- "to be, exist, grow").

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