Ovals and Egg Curves

This site (Ovals and Egg Curves) displays some interesting equations for egg curves. One such equation modifies the equation of an ellipse slightly by multiplying the “y²” term by a suitable function t(x), so that y becomes larger on the left side of the y-axis and smaller on the right side.

For example, starting with the equation of the ellipse x²/9+y²/4=1, you can multiply y² by t(x) to get: x²/9+y²/4*t(x)=1. The three examples below show three such functions for t(x) giving egg shaped curves:

Image Source: http://www.mathematische-basteleien.de/eggcurves.htm

For more egg curves check out the following two links:

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