Definition:Hyperbola/Transverse Axis

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Parts of Hyperbola

 

HyperbolaParts.png


Consider a hyperbola $K$ whose foci are $F_1$ and $F_2$.


The transverse axis of $K$ is the line segment joining the vertices of $K$.


In the above diagram, $V_1 V_2$ is the transverse axis of $K$.


Also defined as

Some sources define the transverse axis to be the (infinite) straight line passing through the vertices and foci of $K$.

However, at $\mathsf{Pr} \infty \mathsf{fWiki}$ the policy is to define that as the major axis of $K$.


Also known as

Some sources refer to the transverse axis as the major axis.

However, at $\mathsf{Pr} \infty \mathsf{fWiki}$ the policy is to use the latter term to mean the (infinite) straight line passing through the vertices and foci of $K$.


Also see


Linguistic Note

The plural of axis is axes, which is pronounced ax-eez not ax-iz.

Compare basis.


Sources

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