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In this assignment you will use a Monte Carlo Simulation to estimate the overlap between two Ellipses.

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Overlapping Eclipses

An ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. — Wikipedia.

In this assignment you will use a Monte Carlo Simulation to estimate the overlap between two Ellipses.

 

Part 1: Ellipse Class (25 Points)

  1. Write a class to capture the necessary information of an
  2. Write code to thoroughly test your implementation of the ellipse class including:
    1. A constructor that accepts no variables,
    2. A constructor that accepts all appropriate
    3. Setting and getting the appropriate
    4. A function that returns the area of the ellipse
    5. A function that returns the circumference of the
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