# Equation of Conic in Cartesian Coordinates is Quadratic

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## Theorem

Let $\CC$ be a conic section.

Then $\CC$ can be expressed by an quadratic equation in $2$ variables.

## Proof

This theorem requires a proof.In particular: Follows apparently from Conic Section is Curve of Second Order. Sommerville is not rigorous about defining his terms.You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{ProofWanted}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

## Sources

- 1933: D.M.Y. Sommerville:
*Analytical Conics*(3rd ed.) ... (previous) ... (next): Chapter $\text {IV}$. The Ellipse: $1 \text a$. Focal properties