Eureka (word)
The exclamation 'Eureka!' is attributed to the ancient Greek scholar Archimedes. He reportedly proclaimed "Eureka! Eureka!" after he had stepped into a bath and noticed that the water level rose, whereupon he suddenly understood that the volume of water displaced must be equal to the volume of the part of his body he had submerged. (This relation is "not" what is known as Archimedes' principle—that deals with the "upthrust" experienced by a body immersed in a fluid.) He then realized that the volume of irregular objects could be measured with precision, a previously intractable problem. He is said to have been so eager to share his discovery that he leapt out of his bathtub and ran naked through the streets of Syracuse.
Europa (consort of Zeus)
It is common in ancient Greek mythology and geography to identify lands or rivers with female figures. Thus, "Europa" is first used in a geographic context in the Homeric Hymn to Delian Apollo, in reference to the western shore of the Aegean Sea.
As a name for a part of the known world, it is first used in the 6th century BC by Anaximander and Hecataeus.
The weakness of an etymology with εὐρύς ("eurus"), is 1. that the -u stem of εὐρύς disappears in Εὐρώπη Europa and 2. the expected form εὐρυώπη euryopa that retains the -u stem in fact exists.