Let , ...,
be four planes in general
position through a point
and let
be a point on the line
. Let
denote the plane
. Then the four planes
,
,
,
all pass through one point
. Similarly, let
, ...,
be five planes in general
position through
.
Then the five points
,
,
,
, and
all lie in one plane. And
so on.
Cox's Theorem
See also
Clifford's Circle Theorem, Cox Configuration, PlaneExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Cox's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CoxsTheorem.html