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Ellipses

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Ellipses

Post Number: #1  Postby Jessica » April 26th, 2011, 5:34 pm

An ellipse is the set of all points (x, y) in a plane, the sum of whose distances from two distinct fixed points (foci) is constant.

Image


Standard equation

Center (h, k)



Major axis is horizontal

Major axis is vertical


If the denominator under x2 is LARGER, the major axis is horizontal.
If the denominator under the y2 is LARGER, the major axis is vertical.
The LARGER denominator is ALWAYS a2

The foci lie on the major axis, c units from the center, with

Image


ECCENTRICITY

Eccentricity e is the ovalness of an ellipse.

0 < e < 1 for EVERY ellipse

The close the foci to the center, the more circular the ellipse.
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