Eureka (word) "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
Eureka, California a 4.1% increase, and the population of Greater Eureka was 45,034 at the 2010 Census, up from 43,452 at the 2000 census, representing a 3.6% increase. According to a report by the City of Eureka, the Greater Eureka area minimally includes the unincorporated adjacent or nearby neighborhoods and Census Defined Populated Areas of Bayview, Cutten, Elk River, Freshwater, Humboldt Hill, Indianola, Myrtletown, Pine Hill, Ridgewood Heights, and Rosewood, all of which have Eureka addresses, postal zip codes and Eureka-specific telephone numbers. The Greater Eureka area makes up the largest urban settlement on the Pacific Coast between San Francisco and Portland.