Etymology
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pyro- 

before vowels pyr-, word-forming element form meaning "fire," from Greek pyr (genitive pyros) "fire, funeral fire," also symbolic of terrible things, rages, "rarely as an image of warmth and comfort" [Liddell & Scott], from PIE root *paewr- "fire." Pyriphlegethon, literally "fire-blazing," was one of the rivers of Hell.

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botryo- 
before vowels botry-, word-forming element meaning "cluster, cluster-like," from Greek botrys "cluster of grapes," which is of unknown origin.
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cerato- 

word-forming element meaning "horn, horn-like part," from Latinized form of Greek keras (genitive keratos) "horn of an animal; horn as a substance," from PIE root *ker- (1) "horn, head."

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homeo- 

also homoeo-, word-forming element meaning "similar to," Latinized from Greek homio-, from homoios "like, resembling, of the same kind; equal," related to or an expanded form of homos "one and the same" (from PIE root *sem- (1) "one; as one, together with").

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myco- 

before vowels myc-, word-forming element meaning "mushroom, fungus," formed irregularly from Latinized form of Greek mykēs "fungus, mushroom, anything shaped like a mushroom," a word of uncertain origin (Beekes doubts the traditional explanation that connects it to the source of mucus). The correct form is myceto- (mycet-).

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homo- (1)

before vowels hom-, word-forming element meaning "same, the same, equal, like" (opposed to hetero-), from Greek homos "one and the same," also "belonging to two or more jointly" (from PIE *somo-, from root *sem- (1) "one; as one, together with").

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radio- 
word-forming element meaning 1. "ray, ray-like" (see radius); 2. "radial, radially" (see radial (adj.)); 3. "by means of radiant energy" (see radiate (v.)); 4. "radioactive" (see radioactive); 5. "by radio" (see radio (n.)).
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hyalo- 
word-forming element in scientific compounds meaning "of glass; glass-like, transparent," from Greek hyalos "glass, clear alabaster, crystal lens used as a burning glass," apparently a non-Greek word, said to be of Egyptian origin (glass was first made in Egypt).
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cocco- 
word-forming element meaning "berry, seed," or something shaped like them, from Latinized form of Greek kokkos "a grain, a seed," especially "kermes-berry, gall of the kermes oak" (actually an insect), which yields scarlet dye, a word of unknown origin, perhaps from a non-Greek source.
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quasi- 

word-forming element used since 18c. (but most productively in 20c.), "kind of, like but not really, as if," expressing some resemblance but implying a degree of fictitious or unreal quality or lack of some important feature; from Latin quasi "as if, as it were" (see quasi).

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