Conic Section Discriminant

The discriminant of the general conic section

is defined as

Delta=|a h g; h b f; g f c|=abc+2fgh-af^2-bg^2-ch^2.

If and , then simplifies to the circle discriminant.

See also

Circle Discriminant

Explore with Wolfram|Alpha

More things to try:

References

Salmon, G. Conic Sections, 6th ed. New York: Chelsea, p. 266, 1960.

Referenced on Wolfram|Alpha

Conic Section Discriminant

Cite this as:

Weisstein, Eric W. "Conic Section Discriminant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConicSectionDiscriminant.html

Subject classifications