Separation (original) (raw)
TOPICS
Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology
Alphabetical Index New in MathWorld
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.
See also
Separation of Variables,Separation Theorem
Explore with Wolfram|Alpha
More things to try:
Cite this as:
Weisstein, Eric W. "Separation." FromMathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Separation.html