Using Clebsch-Aronhold notation, an algebraic curve satisfies
Joachimsthal's Equation
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References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 89, 1959.Referenced on Wolfram|Alpha
Joachimsthal's EquationCite this as:
Weisstein, Eric W. "Joachimsthal's Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/JoachimsthalsEquation.html