In details

Ellipse Equations


Let's consider the following cases:

A) ellipse with center in origin and horizontal major axis

Being ç focal half distance, the ellipse foci are F1(-c, 0) and F2(c, 0):

Applying the definition of ellipse , we get the ellipse equation:

B) ellipse with center in origin and vertical major axis

Under these conditions, the ellipse equation is:

Next: Hyperbole