EllipseDefinition, examples

and equations.

Definition of Ellipse

● An Ellipse is a set of points in the plane whose sum of the distances from two fixed points is constant and bigger than the distances between them.

● The fixed points are the focus of the ellipse . The distance between the focuses is called focal length.

Drawing an Ellipse

Elements of the Ellipse

(2A)

(2B)

Major Axis

Minor Axis

Eccentricity

● By making C/A we find the eccentricity of the ellipse. The bigger is the eccentricity, more flattened is the ellipse, and the smaller is this value, more rounded the ellipse will be.

Minor Axis

Equations of the Ellipse

Equations of the Ellipse

Examples of Ellipse

● In the world, there is some works of architecture that were based on the shape of an ellipse.

● And out of the world, in our system, the Solar System have elliptical shape, the planets revolve around the sun in these ellipses.

Thanks for attention !

Work of the discipline of Analytic Geometry about: Ellipses

Participated:Omar; Luis Augusto; Leticia; Larissa and Fernando

References:http://www.educ.fc.ul.pt/icm/icm2000/icm27/elipse.htm

http://www.brasilescola.com/matematica/elipse.htm

http://www.seasky.org/solar-system/solar-system.html

http://www.viagens.org/files/2011/12/7%20Maravilhas%20Coliseu%20Aereo.jpg