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Math Help - Equation of sea shell type geometrical shape

  1. #1
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    Post Equation of sea shell type geometrical shape

    I am a student of University of Dhaka, Faculty of Engineering and Technology. I have a problem to find out the resultant equation of sea shell type geometrical shape which is shown in my attachment JPEG file.

    Equation of parabolic section : X^2 = 4 *f * (Y + f), where f = Focus of parabola.

    Equation of Circular section : X^2 + Y^2 = f^2, where f= Radius of Circle.

    Now problem is that to find out the general equation by combining this two curvature shown in attachment file.
    If it is possible, please help me....
    Attached Thumbnails Attached Thumbnails Equation of sea shell type geometrical shape-sea-shell.jpg  
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