External (or positive) and internal (or negative) similarity points of two circles with centers 
 and 
 and radii 
 and 
 are the points 
 and 
 on the lines 
 such that
or
External (or positive) and internal (or negative) similarity points of two circles with centers 
 and 
 and radii 
 and 
 are the points 
 and 
 on the lines 
 such that
or
Weisstein, Eric W. "Similarity Point." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SimilarityPoint.html