The Collaborative International Dictionary
Euclidian \Eu*clid"i*an\, n. Related to Euclid, or to the geometry of Euclid.
Euclidian space (Geom.), the kind of space to which the axioms and definitions of Euclid, relative to straight lines and parallel lines, apply; -- called also flat space, and homaloidal space. [1913 Webster] ||
Wiktionary
n. (context mathematics English) Any Riemann space in which the metric tensors are constants throughout
Usage examples of "flat space".
The plating curved in and there was a wide flat space parallel to the ground.
And Bork was smiling as he stepped into the flat space where the battle would take place.
Mass at 1012 grams, and a tremendous power source barely able to hold it in a c-plus-excited state, even in the near-flat space, between stars.
A thick screen of bushes separated the irregular steps to the quarry from the grassy, rock-strewn flat space where she stopped the car.
The Colony's mountainous terrain made flat space difficult to find.