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, Plane## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Cox's Theorem." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/CoxsTheorem.html