The `Ellipse` module in `sympy.geometry` of Python's `sympy` library represents an ellipse in 2D Cartesian coordinate system. It is a closed, elongated curve symmetrically shaped like an oval, defined by two focal points and the sum of distances from any point on the curve to these focal points being constant. The `Ellipse` class provides various methods to perform operations on ellipses, such as finding the center, eccentricity, area, perimeter, and determining whether a point lies inside or outside the ellipse. It also supports transformations like rotation and dilation for manipulating the ellipse.
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