The whole neighborhood of any point 
of an algebraic curve
may be uniformly represented by a certain finite number of convergent developments
in power series,
 |
Puiseux's Theorem
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References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 207, 1959.Puiseux, V. "Recherches sur les fonctions algébriques." J. de math. pures et appl. 15, 207, 1850.Referenced on Wolfram|Alpha
Puiseux's TheoremCite this as:
Weisstein, Eric W. "Puiseux's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PuiseuxsTheorem.html