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Yes. This is also seen in conic sections.

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Q: Is a set of points equidistant from a given point called the center?
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Related questions

A set of points all a given distance from a center point?

They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.


What is the mathematic definition of circle?

A circle is the set of all points in a plane that are equidistant from a given point, called the center.


What is the set of points in a plane that are equidistant from a given point known as the center?

circle


A set of points that are the same distance from a given point?

equidistant, the circumference of a circle is formed by equidistant points from the center of the circle. It could also be the surface of a sphere if you are not limited to two dimensions.


What is a locus of points equidistant from a point?

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


What set of point in a plane equidistant from given point called center?

A circle.


What is a space figure who set of all points on the surface are equidistant from the center?

A sphere would fit the given description.


What is a set of points equidistant from a given point?

sphere


Set of points equidistant from a given point?

A circle


A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?

A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true


Set of all points equidistant from a given point?

Circle!


Infinite number of points equidistant from a given point?

a circle?