word-forming element in pathology meaning "condition of the blood," Modern Latin combining form of Greek haima (genitive haimatos) "blood," a word of no established etymology (replacing the usual IE word, represented in Greek by ear; possibly from uncertain PIE root *sei- "to drip" (compare Old High German seim "virgin honey," Welsh hufen), but according to Beekes this proposal "cannot explain the Greek vocalism."
before vowels angi-, word-forming element meaning "vessel of the body," now often "covered or enclosed by a seed or blood vessel," from Latinized form of Greek angeion "case, capsule, vessel of the body," diminutive of angos "vessel, jar, vat, vase," which is of unknown origin. Beekes says "Possibly a Mediterranean loanword ..., as kitchen utensils are often borrowed."