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(mysql.info) gis-class-curve

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 16.2.4 Class `Curve'
 --------------------
 
 A `Curve' is a one-dimensional geometry, usually represented by a
 sequence of points. Particular subclasses of `Curve' define the type of
 interpolation between points. `Curve' is a non-instantiable class.
 
 *`Curve' Properties*
 
    * A `Curve' has the coordinates of its points.
 
    * A `Curve' is defined as a one-dimensional geometry.
 
    * A `Curve' is simple if it does not pass through the same point
      twice.
 
    * A `Curve' is closed if its start point is equal to its endpoint.
 
    * The boundary of a closed `Curve' is empty.
 
    * The boundary of a non-closed `Curve' consists of its two endpoints.
 
    * A `Curve' that is simple and closed is a `LinearRing'.
 
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