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.
Sloboda Ukraine
The name derives from the term "sloboda" for a colonial settlement free of tax obligations, and the word "ukraine" in its original sense of "borderland". The etymology of the word Ukraine is seen this way among Russian, Ukrainian and Western historians such as Orest Subtelny, Paul Magocsi, Omeljan Pritsak, Mykhailo Hrushevskyi, Ivan Ohiyenko, Petro Tolochko and others. It's supported by the Encyclopedia of Ukraine and the Etymological dictionary of the Ukrainian language. In Russia, the name "Ukraine" (Russian: "Ukraina") is perceived as a calque of "okraina", meaning a frontier ("krai"), thus "Sloboda Ukraine" is known as a "free-settled frontier". In Ukraine, the region is accepted as a free settled region, part of the whole Ukraine.