The major axis and the minor axis.
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The two foci are necessary to define the location of an ellipse, but the shape depends on the eccentricity, which is related to the lengths of the two axes.
πab, where a and b are the lengths of the semi-major and semi-minor axes, respectively. A=pi*a*b
x, y and z axes.
The major axis is the line that joins the two foci (focuses) of the ellipse. If all you have is a picture of an ellipse and you don't know where the foci are, you can still find the major axis in a few seconds: It's the longest possible line that you can draw completely inside the ellipse, and it's the line straight across the ellipse between the two opposite "points of the egg".
x, y, and z