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QUINTIC




The quintics are the algebraic curves of degree 5.

Examples:
    - the L'Hospital quintic.
    - the Burnside curve:  .

    - a beautiful example that can be an exercise for undergraduates: 

Cartesian equation:.
     - another one (non-rational): (not to mistake for the right serpentine 2: )
The Cartesian equation  is that of a curve with degree 10 that is composed of this quintic and its symmetric image about Ox:

See also an example on this website at Bézier curve.
 
 
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© Robert FERRÉOL  2017