Definition:Hyperbola/Transverse Axis
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Parts of Hyperbola
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 known as
Many sources give this as the major axis, but 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
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {V}$. The Hyperbola: $2$.
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): transverse axis
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): transverse axis
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): transverse axis
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): hyperbola
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): transverse axis