Two distinct point pairs and separate each other if , , , and lie on a circle (or line) in such order that either of the arcs (or the line segment ) contains one but not both of and . In addition, the point pairs separate each other if every circle through and intersects (or coincides with) every circle through and . If the point pairs separate each other, then the symbol is used.

# Separation

## See also

Separation of Variables, Separation Theorem## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Separation." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Separation.html