Please re-phrase.
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Parallel lines fits the given description.
No. There can be huge differences. Brighter stars at bigger distances will look as a weak star but as at a shorter distance.
A curved surface on which all points are the same distance from the center is called a sphere.
The set of all points in space that are the same distance from a given point is called a sphere.
A circle has all of it's points the same distance from the center. For example, if you put a dot on a given point on the circumference, or outline of a circle, all the points have the same distance from the circle. This only works if you put a point on the outline or circumference of the circle.