a set of points on a flat surface?
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inclined plane
A sphere would fit the given description.
what is The set of all points collinear to two points?
Space is a boundless, three dimensional set of all points. Collinear is a set of points that are all on the same line and is 3 or more points.
A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).