# Definition:Imaginary Straight Line

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## Definition

An **imaginary straight line** in the Cartesian plane is a straight line whose equation includes the imaginary unit $i$ somewhere in its definition.

This article, or a section of it, needs explaining.In particular: Yes I know this is an appallingly loose definition, I got it from Sommerville who is less than limpid.You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it.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 `{{Explain}}` from the code. |

## Sources

- 1933: D.M.Y. Sommerville:
*Analytical Conics*(3rd ed.) ... (previous) ... (next): Chapter $\text {II}$. The Straight Line: $15$. The homogeneous equation of second degree