Definition:Orthogonal Curves

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This page is about orthogonal curves. For other uses, see orthogonal.

Definition

Let $C_1$ and $C_2$ be curves that intersect at a point $P$.

$C_1$ and $C_2$ are orthogonal at $P$ if and only if the tangent line to $C_1$ at $P$ is at right angles to the tangent line to $C_2$ at $P$.


Orthogonal Circles

Two circles are orthogonal if their angle of intersection is a right angle.


Also known as

Two objects that are orthogonal are often seen described as perpendicular.

However, the latter usually used where those objects are straight lines or planes.


Also see

  • Results about orthogonal curves can be found here.


Sources