# Category:Definitions/Point at Infinity

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This category contains definitions related to Point at Infinity.

Related results can be found in Category:Point at Infinity.

Let $\LL_1$ and $\LL_2$ be straight lines embedded in a cartesian plane $\CC$, given by the equations:

\(\ds \LL_1: \ \ \) | \(\ds l_1 x + m_1 y + n_1\) | \(=\) | \(\ds 0\) | |||||||||||

\(\ds \LL_2: \ \ \) | \(\ds l_2 x + m_2 y + n_2\) | \(=\) | \(\ds 0\) |

Let $l_1 m_2 = l_2 m_1$, thus by Condition for Straight Lines in Plane to be Parallel making $\LL_1$ and $\LL_2$ parallel.

In this case the point of intersection of $\LL_1$ and $\LL_2$ does not exist.

However, it is convenient to define a **point at infinity** at which such a pair of parallel lines hypothetically "intersect".

## Pages in category "Definitions/Point at Infinity"

The following 5 pages are in this category, out of 5 total.