Python | Sympy Ellipse() method

Python | Sympy Ellipse.tangent_lines method

Last Updated : 25 Apr, 2025

In Sympy, the function 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:

Python3 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:

Python3 1==

# 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:

[]

Python | Sympy Ellipse() method

ravikishor

Improve

Article Tags :

Practice Tags :

python

Similar Reads

Python | Sympy Ellipse.is_tangent() method

In Sympy, the function Ellipse.is_tangent() is used to check whether an Ellipse, LinearEntity or Polygon is tangent to the given Ellipse or not. Syntax: is_tangent(o) Parameters: o an Ellipse, LinearEntity or Polygon Returns: True if o is tangent to the ellipse, False otherwise. Raises: NotImplement

Python | Sympy is_tangent() method

In Sympy, the function is_tangent() is used to check whether the given line is tangent to the given circle or not. Syntax: Circle().is_tangent(line) Return: True:if line is tangent to circle, otherwise False. Example #1: Python3 1== # import sympy and geometry module from sympy import * from sympy.g

Python | Sympy Ellipse() method

In sympy, the function Ellipse() is used to create ellipse from a center and two radii, the first being the horizontal radius (along the x-axis) and the second being the vertical radius (along the y-axis). Syntax: Ellipse() Parameters: center: Point hradius: number or SymPy expression, optional vrad

Python | Sympy Ellipse.equation() method

In sympy, the function Ellipse.equation() is used to make the equation of the given ellipse. Syntax: Ellipse.equation(x='x', y='y', _slope=None) Parameters: x : Label for the x-axis. Default value is â€˜xâ€™. y : Label for the y-axis. Default value is â€˜yâ€™. _slope : The slope of the major axis. Ignored w

Python - Sympy Triangle.is_isosceles() method

In Sympy, the function Triangle.is_isosceles() is used to check whether the given triangle is Isosceles triangle or not. Isosceles Triangle is the triangle in which two or more of the sides are of the same length. Syntax: Triangle.is_isosceles() Returns: True: if it is isosceles, otherwise False Exa

Python | Sympy Line.distance() method

In Sympy, the function distance() is used to find the shortest distance between a given line and a given point. Syntax: Line.distance(other) Parameter: other: a point Returns: shortest distance between a line and a point Raises: NotImplementedError is raised if `other` is not a Point Example #1: Pyt

Python | Sympy Ellipse.rotate() method

In Sympy, the function rotate() is used to rotate the ellipse counterclockwise about the given point by the given angle. Syntax: Ellipse.rotate(angle=0, pt=None) Parameters: angle: in radian pt: point about which ellipse is rotated in counterclockwise. Returns: rotated ellipse Example #1: Python3 1=

Python | sympy.tan() method

In sympy, tan() method is a tangent function. Using the tan(x) method in the sympy module, we can compute the tangent or arctangent of x. Syntax : sympy.tan(x) Return : Returns the tangent of x Code #1: Below is the example using tan() method to find the inverse tangent function. Python3 # importing

Python | Sympy Line.intersection() method

In Sympy, the function intersection() is used to find the intersection with another geometrical entity. Syntax: Line.intersection(o) Parameters: o: Point or LinearEntity Returns: intersection: list of geometrical entities Example #1: Python3 1== # import sympy and Point, Line from sympy import Point

Python | Sympy Line.parallel_line method

In Sympy, the function parallel_line() is used to create a new Line parallel to the given linear entity which passes through the given point p. Syntax: Line.parallel_line(p) Parameters: p: Point Returns: Line Example #1: Python3 # import sympy and Point, Line from sympy import Point, Line p1, p2, p3