Category:Examples of Point at Infinity
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This category contains examples of 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 "Examples of Point at Infinity"
The following 4 pages are in this category, out of 4 total.