In Sympy, the function
If p is on the ellipse, returns the tangent line through point p. Otherwise, returns the tangent line(s) from p to the ellipse, or None if no tangent line is possible (e.g., p inside ellipse).
tangent_lines() returns Tangent lines between p(point) and the ellipse.If p is on the ellipse, returns the tangent line through point p. Otherwise, returns the tangent line(s) from p to the ellipse, or None if no tangent line is possible (e.g., p inside ellipse).
Syntax: Ellipse.tangent_lines(p) Parameter: p:Point Returns: tangent_lines: list with 1 or 2 Lines or empty list Raises: NotImplementedError: Can only find tangent lines for a point, p, on the ellipse.
Example #1:
# import sympy and Point, Ellipse from sympy import Point, Ellipse # using Ellipse() method e1 = Ellipse(Point(0, 0), 3, 2) # using tangent_lines() method l1 = e1.tangent_lines(Point(3, 0)) print(l1) |
Output:
[Line2D(Point2D(3, 0), Point2D(3, -12))]
Example #2:
# import sympy and Point, Ellipse from sympy import Point, Ellipse # using Ellipse() method e2 = Ellipse(Point(0, 0), 3, 2) # using tangent_lines() method l2 = e2.tangent_lines(Point(1, 1)) print(l2) |
Output:
[]
