It could be a circle or a sphere
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
I believe that is the definition of a straight line.
a globe.
A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.
It could be a circle or a sphere
the set of points equidistant from a fixed point
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
It is a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)
I believe that is the definition of a straight line.
a sphere
A 'spherical' surface.
Sphere
That set of points forms what is known as a "circle".
a globe.
A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.