Definition:Harmonic Conjugates/Harmonic Range

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This page is about Harmonic Conjugates. For other uses, see Harmonic.


Let $AB$ and $PQ$ be line segments on a straight line such that $\tuple {AB, PQ}$ is a harmonic range.

Then $P$ and $Q$ are said to be harmonic conjugates with respect to $A$ and $B$.

Also known as

The two pairs of points $\set {A, B}$ and $\set {P, Q}$ can also be said to be apolar.

Also see

  • Results about Harmonic Ranges can be found here.