A selection of some points on a circle.
A circle
This is the center, or locus, of a set of points, such as a curve or circle.
Circle
Sphere?
A set of points that are equidistant from a fixed point, known as the center, forms a geometric shape called a circle. In a two-dimensional plane, all points on the circle are the same distance from the center, which is defined as the radius. This concept can be extended to higher dimensions, where the set of points equidistant from a center forms a sphere in three-dimensional space.
the set of points equidistant from a fixed point
The set of all points in the plane equidistant from one point in the plane is named a parabola.
A circle
sphere
Circle!
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
This is the center, or locus, of a set of points, such as a curve or circle.
Circle
A circle, or arc thereof.
a circle, centered at the given point.
Sphere?
circle