Etymology
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-iatry 
word-forming element meaning "medical treatment," from French -iatrie, from Greek iatreia "healing, medical treatment" (see -iatric).
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-pathy 

word-forming element meaning "feeling, suffering, emotion; disorder, disease," from Latin -pathia, from Greek -patheia "act of suffering, feeling" (from PIE root *kwent(h)- "to suffer"). Meaning "system of treatment of disease, method, cure, curative treatment" is abstracted from homeopathy (q.v.).

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-path 
word-forming element used in modern formations to mean "one suffering from" (a disease or condition), from Greek pathos "suffering" (from PIE root *kwent(h)- "to suffer"). Also "one versed in" (a certain type of treatment), in which cases it is a back-formation from -pathy in the related sense.
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