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Joachimsthal's Equation

Using Clebsch-Aronhold notation, an algebraic curve satisfies

xi_1^na_y^n+xi_1^(n-1)xi_2a_y^(n-1)a_x+1/2n(n-1)xi_1^(n-2)xi_2^2a_y^(n-2)a_x^2+... +nxi_1xi_2^(n-1)a_ya_x^(n-1)+xi_2^na_x^n=0.

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References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 89, 1959.

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Joachimsthal's Equation

Cite this as:

Weisstein, Eric W. "Joachimsthal's Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/JoachimsthalsEquation.html

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