Yes. This is also seen in conic sections.
circle
A sphere would fit the given description.
Circle!
Yes. A circle is defined as the set of all points in a plane equidistant from a given point (the center of the circle) - hence - all points of a circle must be co-planar by definition.
A circle.
They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.
A circle is the set of all points in a plane that are equidistant from a given point, called the center.
circle
All points in a plane that are equidistant from a given point form a circle. The center of the circle is the given point, and the radius is the constant distance from the center to any point on the circle. Thus, every point on this circle maintains the same distance from the center 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.
A solid bounded by the set of all points at a given distance from a specific point is called a sphere. The center of the sphere is the given point, and the radius is the specified distance. All points on the surface of the sphere are equidistant from the center, creating a three-dimensional shape.
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
A circle.
A set of points in space that are equidistant from a given point is called a sphere. The given point is referred to as the center of the sphere, and the distance from the center to any point on the surface is known as the radius. In three-dimensional space, a sphere is defined mathematically by the equation ( (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2 ), where ((h, k, l)) are the coordinates of the center and (r) is the radius.
A sphere would fit the given description.
A circle
sphere