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Outline

  1. Modeling the Shape of an Egg
    1. Not Quite an Ellipse
    2. Descartes Oval
    3. Cassini Oval
    4. Tweaked x-Coordinates
    5. Pieces of Circles?

    Modeling the Shape of an Egg

    Author:I-Heng McComb
    Exploration of five models for the oval shape of an egg....
    Modeling the Shape of an Egg

    Table of Contents

    • Not Quite an Ellipse

      • Meet Our Egg
      • Ellipse Model: Implicit Cartesian Equation (Transformed Circle)
      • Ellipse: Locus Relative to Foci
      • Ellipse: Polar Parametric Equations
    • Descartes Oval

      • Descartes Oval: Geometric Construction
      • Descartes Oval: Locus Relative to Foci
    • Cassini Oval

      • Cassini Oval: Locus Relative to Foci
      • Cassini Oval: Implicit Cartesian Equation
      • Cassini Oval: Polar Parametric Equations
    • Tweaked x-Coordinates

      • Adjusted Ellipse: Polar Parametric Equations
    • Pieces of Circles?

      • Curvature Modeling
    Next
    Meet Our Egg

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