# Category:Definitions/Harmonic Pencils

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This category contains definitions related to Harmonic Pencils.

Related results can be found in Category:Harmonic Pencils.

Let $A$ and $B$ be points on a straight line.

Let $P$ and $Q$ lie on $AB$ such that $\tuple {AB, PQ}$ is a harmonic range.

Let $O$ be a point which is not on the straight line $AB$.

Then the pencil $\map O {AB, PQ}$ formed by joining $O$ to the four points $A$, $B$, $P$ and $Q$ is said to be a **harmonic pencil**.

## Pages in category "Definitions/Harmonic Pencils"

The following 2 pages are in this category, out of 2 total.