Bow curve

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A bow curve

A bow curve is a quartic plane curve with the equation:

The bow curve has a single triple point at x=0, y=0, and consequently is a rational curve, with genus zero. Expanding around zero, the three branches have series

The nature of any singularity of a plane algebraic curve is defined by its link; the link for the singularity, an ordinary triple point, of the bow curve is illustrated below.

Singularity link of the bow curve

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Categories: Curves | Algebraic curves

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• This page was last modified 00:26, 20 May 2006 by Wikipedia user Gene Ward Smith. Based on work by Wikipedia user(s) AmiDaniel, Mets501, Charles Matthews, Rohit math, Reyk and SimonP and Anonymous user(s) of Wikipedia.
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