Although first studied by Nathaniel Bowditch, they owe their name to a French mathematician who investigated them in the middle of the nineteenth century.  
Although first studied by Nathaniel Bowditch, they owe their name to a French mathematician who investigated them in the middle of the nineteenth century.  They are produced by an intersection of two sinusoidal curves at right angles to each other.  If the amplitudes and frequencies of the sinusoidals are the same, but their phases differ, ellipses are formed; however, the patterns become very intricate if frequencies and amplitudes are not equal.  For ten points, name these patterns, most frequently associated with swinging pendulums.
Although first studied by Nathaniel Bowditch, they owe their name to a French mathematician who investigated them in the middle of the nineteenth century.  
Lissajous figures