Sat, 17 Jan 1998 08:36:21 -0500 (EST)
At 11:56 PM 1/15/98 -0800, Anton Sherwood <firstname.lastname@example.org> wrote:
>> if you had three points it would be a plane, and 4 would be 3d
>Nope. Three points *determine* a unique plane - that means that (in
>Euclidean or similar geometry) there's only one plane which *contains*
>those three points. It does not mean that those three points, all by
>themselves, *make* a plane.
Strictly speaking, it is three NONcolinear -- i.e., not in the same line --
points that determined a unique plane in Euclidean space, while
four NONcoplanar -- i.e., not in the same plane -- points that
determine a unique Euclidean three space.