Parametric Cartesian equation:
x = a sin(nt + c), y = b sin(t)
Click below to see one of the Associated curves.
|Definitions of the Associated curves||Evolute|
|Involute 1||Involute 2|
|Inverse curve wrt origin||Inverse wrt another circle|
|Pedal curve wrt origin||Pedal wrt another point|
|Negative pedal curve wrt origin||Negative pedal wrt another point|
|Caustic wrt horizontal rays||Caustic curve wrt another point|
Lissajous curves have applications in physics, astronomy and other sciences.
Nathaniel Bowditch (1773-1838) was an American. He learnt Latin to study Newton's Principia and later other languages to study mathematics in these languages. His New American Practical Navigator (1802) and his translation of Laplace's Mécanique céleste gave him an international reputation.
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