Determining an ellipse

Given:

A focus lies on the origin
The semimajor axis a
The eccentricity e
and two points on the ellipse's circumference.

With this info how is the ellipse's equation determined?

(I also posted this question in geometry.puzzles)

Thanks in advance,

--
Hop David
http://clowder.net/hop/index.html

.

Relevant Pages

  • Re: Determining an ellipse
    ... A focus lies on the origin ... and two points on the ellipse's circumference. ... Focus at the origin, eccentricity given. ...
    (sci.math)
  • Re: Determining an ellipse
    ... > A focus lies on the origin ... > and two points on the ellipse's circumference. ... Focus at the origin, eccentricity given. ...
    (sci.math)
  • Re: Determining an ellipse
    ... A focus lies on the origin ... and two points on the ellipse's circumference. ... Focus at the origin, eccentricity given. ...
    (sci.math)
  • Re: Determining an ellipse
    ... Assume only one point on the circumference of the ellipse; let r be the distance between the point and the origin. ... consideration of the vertex between the origin and the directrix gets you ...
    (sci.math)