The definition of a circle specifies that the points that are equidistant from a
given point (the center) are “in a plane.” Why? What would happen if the
points were not restricted to a plane?
If the points were not restricted a plane, then all the points that are equidistant from a given point would define a sphere (3-D). A circle is 2-D, so the plane restriction is necessary.
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.