Ellipse

Properties of Ellipse

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. The constant sum is the length of the major axis of the ellipse.

d₁ + d₂ = 2a

Another description of an ellipse is as a conic section, created from the intersection of a right circular conical surface and an inclined plane not parallel to the conical surface.

Ellipse eccentricities:

Ellipse flattening:

Relationship between f and e:

Other elements

Equation, Area and Perimeter of ellipse

The equation of ellipse with center at the origin and axis horizontal is:

Area and perimeter of ellipse: