Category:Definitions/Chords

This category contains definitions related to Chords.
Related results can be found in Category:Chords.

Chord of a Circle

A chord of a circle is a straight line segment whose endpoints are on the circumference of the circle.

In the diagram above, the lines $CD$ and $EF$ are both chords.

Chord of an Ellipse

 

A chord of an ellipse is a straight line segment whose endpoints are on the perimeter of the ellipse.

In the diagram above, the line $AB$ is a chord.

Chord of a Polygon

A chord of a polygon $P$ is a straight line connecting two non-adjacent vertices of $P$:

In the above diagram, $DF$ is a chord of polygon $ABCDEFG$.

Chord of a Parabola

 

A chord of a parabola is a straight line segment whose endpoints are on the parabola.

In the diagram above, the lines $AB$ and $C$ are chords.

Chord of a general Curve

Let $\CC$ be a curve.

A chord of $\CC$ is a straight line segment whose endpoints lie on $\CC$.

Hence it is a segment of a secant line $\LL$ between the points of intersection of $\CC$ with $\LL$.