Ellipse Command

Ellipse[ <Focus>, <Focus>, <Semimajor Axis Length> ]

Creates an ellipse with two focal points and semimajor axis length.

Example:

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

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.

Example:

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.

Example:

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

Note: See also Ellipse tool .