Retrieving "Second Degree Equation" from the archives

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1. Ellipse

   Linked via "second-degree equation"

   General Conic Form
   When analyzing the general second-degree equation for a conic section, $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$, the nature of the curve is determined by the discriminant, $\Delta = B^2 - 4AC$. For a non-degenerate real curve, if $\Delta < 0$, the curve is an ellipse or a circle [4].
   Physical and Perceptual Properties