Cissoid of Diocles
|
Cartesian Equation : |
y2 = x3/(2a - x) |
|
Parametric Equation : |
x = 2a sin2t , y = 2a sin3t sec t |
|
Polar Equation : |
r = sin t tan t |
|
Cartesian Equation : |
y2 = x3/(2a - x) |
|
Parametric Equation : |
x = 2a sin2t , y = 2a sin3t sec t |
|
Polar Equation : |
r = sin t tan t |
This curve was invented by Diocles in about 180 BC in connection with his attempt to duplicate the
cube by geometrical methods.
The name first appears in the work of Geminus about 100 years later.
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