Category:Minor Axis

This category contains results about Minor Axis.
Definitions specific to this category can be found in Definitions/Minor Axis.

The minor axis of a central conic $\KK$ is the straight line:

passing through the center of symmetry of $\KK$

perpendicular to the major axis of $\KK$.

This may or may not be defined as being terminated at the covertices of $K$ according to variations of definitions.

The distinction should be clear according to usage.

Minor Axis of Ellipse

Consider an ellipse $K$ whose foci are $F_1$ and $F_2$.

Definition $1$

The minor axis of $K$ is the line segment through the center of $K$ perpendicular to the major axis of $K$ such that its endpoints are the points of intersection with $K$.

Definition $2$

The minor axis of $K$ is the diameter of $K$ which has the smallest length.

Minor Axis of Hyperbola

The minor axis of $K$ is the perpendicular bisector of the transverse axis of $K$.