Space
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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.
Two points.
line
A set of all points is how various shapes are made in geometry. Lines are sets of points, and so are surfaces. Circles are sets of all points that are a fixed distance from a central point. All geometric shapes are made from sets of all points.