MathBin	Ellipse	Member

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. It generalizes a circle, which is the special type of ellipse when both focal points are the same. The elongation of an ellipse is measured by its eccentricity e, a number ranging from e = 0 (the limiting case of a circle) to e = 1 (the limiting case of infinite elongation, no longer an ellipse but a parabola).

Here are the common conventions for the ellipse bins.

• The ContourPlot method plots the ellipse in blue.
• The center is the purple point.
• The two vertices are the blue points.
• The two foci are the black points.
• The two directrices are the dark green dashed lines.
• The two latus rectums are the brown dashed line segments.
• The two end points of the conjugate (minor) axis are the dark gray points.
• You can manually zoom out of the graph.

1. Finds the ellipse given by its center and semiaxes.
2. Finds the ellipse given by its foci and point.
3. Finds the ellipse given by its foci and semi-major axis.