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.
Bins in Two Dimensions
- 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.
- Finds the ellipse given by its center and semiaxes.
- Finds the ellipse given by its foci and point.
- Finds the ellipse given by its foci and semi-major axis.