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QUINTIC




The quintics are the algebraic curves of degree 5.

Examples:
    - the L'Hospital quintic.

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

The Cartesian equation is that of a sextic that is composed of the line y = 0 and the above quintic.
     - 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