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

See also

Separation of Variables, Separation Theorem

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Cite this as:

Weisstein, Eric W. "Separation." From MathWorld--A Wolfram Web Resource.

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