Walter Burkert, Homo Necans: The Anthropology of Ancient Greek Sacrificial Ritual and Myth
, tr. Peter Bing (Berkeley: University of California Press, 1983), p. 2:
If a man is able draw near to the gods, as the priest Chryses with Apollo or as Hektor or Odysseus with Zeus, he can do so because he has "burnt many thigh-pieces of bulls" (Il. 1.40, 22.170; Od. 1.66), for this is the act of piety: bloodshed, slaughter—and eating. It makes no difference if there is no temple or cult-statue, as often occurs in the cult of Zeus. The god is present at his place of sacrifice, a place distinguished by the heap of ashes left from "sacred" offerings burnt there over long periods of time, or by the horns and skulls of slaughtered rams and bulls, or by the altar-stone where the blood must be sprinkled. The worshipper experiences the god most powerfully not just in pious conduct or in prayer, song, and dance, but in the deadly blow of the axe, the gush of blood and the burning of thigh-pieces.