Parametric Cartesian equation:
x = a sin(m + n)t/sin(m - n)t, y = 2a sin(mt)sin(nt)/sin(m - n)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|
If m = 2n the Plateau curves become a circle, centre (1, 0) and radius 2.
The particular curves drawn above are with the parameters m = 5, n = 3.
|Main index||Famous curves index|
|Previous curve||Next curve|
The URL of this page is: