Ellipse Command

Ellipse( <Focus>, <Focus>, <Semimajor Axis Length> ): Creates an ellipse with two focal points and semimajor axis length.

Ellipse((0, 1), (1, 1), 1) yields 12x² + 16y² - 12x - 32y = -7.

If the condition: 2*semimajor axis length > Distance between the focus points isn’t met, you will get an hyperbola.

Ellipse( <Focus>, <Focus>, <Segment> ): Creates an ellipse with two focal points, where the length of the semimajor axis equals the length of the given segment.

Let s = Segment((0,1), (2,1)) : Ellipse((0, 1), (2, 1), s) yields 3x² + 4y² - 6x - 8y = 5.

Ellipse( <Focus>, <Focus>, <Point> ): Creates an ellipse with two focal points passing through a given point.

Ellipse((0, 1), (2, 1), (1,2)) yields 1x² + 2y² - 2x - 4y = -1.