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 ‘x’. y : Label for the y-axis. Default value is ‘y’. _slope : The slope of the major axis. Ignored when ‘None’. Returns: equation : sympy expression
Example #1:
# import sympy, Point and Ellipse from sympy import Point, Ellipse from sympy.abc import x, y # using Ellipse() e1 = Ellipse(Point(1, 0), 3, 2) # using equation() eq1 = e1.equation(x, y); print(eq1) |
Output:
y**2/4 + (x/3 - 1/3)**2 - 1
Example #2:
# import sympy, Point and Ellipse from sympy import Point, Ellipse from sympy.abc import x, y # using Ellipse() e2 = Ellipse(Point(0, 0), 3, 2) # using equation() eq2 = e2.equation(x, y); print(eq2) |
Output:
x**2/9 + y**2/4 - 1
