Euaemon
In Greek mythology, Euaemon or Euaimon (Ancient Greek: Εὐαίμων) may refer to the following personages and a place:

Euaemon, one of the ten sons of Poseidon and Cleito in Plato's myth of Atlantis. He was the younger brother of Ampheres and his other siblings were Atlas and Eumelus, Mneseus and Autochthon, Elasippus and Mestor, and lastly, Azaes and Diaprepes. Evaemon, along with his nine siblings, became the heads of ten royal houses, each ruling a tenth portion of the island, according to a partition made by Poseidon himself, but all subject to the supreme dynasty of Atlas who was the eldest of the ten.
Euaemon, an Arcadian prince as one of the 50 sons of the impious King Lycaon either by the naiad Cyllene, Nonacris or by unknown woman. He and his brothers were the most nefarious and carefree of all people. To test them, Zeus visited them in the form of a peasant. These brothers mixed the entrails of a child into the god's meal, whereupon the enraged Zeus threw the meal over the table. Euaemon was killed, along with his brothers and their father, by a lightning bolt of the god.
Euaemon, son of King Ormenus of Ormenium and thus, brother to Amyntor (otherwise also called his father). He was the father of Eurypylus by Deipyle (Deityche) or Ops.
Euaemon, a city mentioned in Stephanus of Byzantium' s Ethnika, otherwise unknown

Notes

References 

 Apollodorus, The Library with an English Translation by Sir James George Frazer, F.B.A., F.R.S. in 2 Volumes, Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1921. . Online version at the Perseus Digital Library. Greek text available from the same website.
 Dionysus of Halicarnassus, Roman Antiquities. English translation by Earnest Cary in the Loeb Classical Library, 7 volumes. Harvard University Press, 1937-1950. Online version at Bill Thayer's Web Site
Dionysius of Halicarnassus, Antiquitatum Romanarum quae supersunt, Vol I-IV. . Karl Jacoby. In Aedibus B.G. Teubneri. Leipzig. 1885. Greek text available at the Perseus Digital Library.
Gaius Julius Hyginus, Fabulae from The Myths of Hyginus translated and edited by Mary Grant. University of Kansas Publications in Humanistic Studies. Online version at the Topos Text Project.
 Homer, The Iliad with an English Translation by A.T. Murray, Ph.D. in two volumes. Cambridge, MA., Harvard University Press; London, William Heinemann, Ltd. 1924. . Online version at the Perseus Digital Library.
 Homer, Homeri Opera in five volumes. Oxford, Oxford University Press. 1920. . Greek text available at the Perseus Digital Library
 Pausanias, Description of Greece with an English Translation by W.H.S. Jones, Litt.D., and H.A. Ormerod, M.A., in 4 Volumes. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1918. . Online version at the Perseus Digital Library
Pausanias, Graeciae Descriptio. 3 vols. Leipzig, Teubner. 1903.  Greek text available at the Perseus Digital Library.
Plato, Critias in Plato in Twelve Volumes, Vol. 9 translated by W.R.M. Lamb. Cambridge, Massachusetts, Harvard University Press; London, William Heinemann Ltd. 1925. Online version at the Perseus Digital Library. Greek text available at the same website.
Tzetzes, John, Allegories of the Iliad translated by Goldwyn, Adam J. and Kokkini, Dimitra. Dumbarton Oaks Medieval Library, Harvard University Press, 2015. 

Sons of Lycaon
Children of Poseidon
Princes in Greek mythology
Atlanteans
Arcadian characters in Greek mythology
Arcadian mythology
Atlantis