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Similarity Point


External (or positive) and internal (or negative) similarity points of two circles with centers C and C^' and radii r and r^' are the points E and I on the lines CC^' such that

 (CE)/(C^'E)=r/(r^'),

or

 (CI)/(C^'I)=-r/(r^').

See also

d'Alembert's Theorem, Homothetic Center, Similitude Center, Similitude Circle

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Cite this as:

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

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