This is the path of the centers of circles in a Pappus Chain, and when different magnitudes are used this is the simplest Lissajous (LEE-suh-zhoo) Curve.
This is the path of the centers of circles in a Pappus Chain, and when different magnitudes are used this is the simplest Lissajous (LEE-suh-zhoo) Curve. This shape can be graphed parametrically by using different amplitudes for each variable, with one of them graphing the sine of the parameter and the other one graphing the cosine. This is defined as the locus of all points whose distance to a fixed point divided by distance to a fixed line is less than one or as the locus of all points whose distances to two fixed points sum to a constant. Name this conic section equivalent to a circle stretched along one axis.
This is the path of the centers of circles in a Pappus Chain, and when different magnitudes are used this is the simplest Lissajous (LEE-suh-zhoo) Curve.
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