Assertion: sphere | /r/DefinedAs | the set of points
Facets:
value: mathematically
type: MANNER
value: in three-dimensional euclidean space
type: LOCATION
Source sentences:
text: Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point, but in a three-dimensional space.
text: A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance (the "radius") from a given point (the "center").
text: A sphere is mathematically defined as the set of points that are all at the same distance from a given point but in three-dimensional space.