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The Satanic Bible
Main article: The infernal names
LaVey utilized the symbolism of the Four Crown Princes of Hell in The Satanic Bible, with each chapter of the book being named after each Prince. The Book of Satan: The Infernal Diatribe, The Book of Lucifer: The Enlightenment, The Book of Belial: Mastery of the Earth, and The Book of Leviathan: The Raging Sea.[28] This association was inspired by the demonic hierarchy from The Book of the Sacred Magic of Abra-Melin the Mage.
Satan (Hebrew) "Lord of the Inferno":
The adversary, representing opposition, the element of fire, the direction of the south, and the Sigil of Baphomet during ritual.
Lucifer (Latin) "The Morning Star":
The bringer of light, representing pride and enlightenment, the element of air, the direction of the east, and candles during ritual.
Belial (Hebrew) "Without a Master":
The baseness of the earth, independence and self-sufficiency, the element of earth, the direction of the north, and the sword during ritual.
Leviathan (Hebrew) "Serpent of the Abyss":
The great dragon, representing primal secrecy, the element of water, the direction of the west, and the chalice during ritual.
https://en.wikipedia.org/wiki/Classification_of_demons