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Hyperbolic Spiral

The hyperbolic spiral, also called the inverse spiral, originated with Pierre Varignon in 1704 and was studied by Johann Bernoulli between 1710 and 1713.  It begins at an infinite distance from the pole in the center, it winds faster and faster around as it approaches the pole, the distance from any point to the pole, following the curve, is infinite.

To draw an Archimedes spiral, select the object from the Chart Objects Pane and drop it on to an open chart.

HyperbolicSpiral

There are appearance aspects of this object that can be changed in the Properties Pane.

Color  Changes the color of the object.

Smoothing Mode  Sets the drawing type of this object.  Default draws a normal line.  Anti-alias draws a smoother line at the expense of drawing performance.

Width  This sets the size of the pen used to draw the outline of this object.  A larger number indicates a thicker line.

Transparency  The level of transparency given to this object.  Valid numbers are 0-255, where 0 is invisible or completely transparent and 255 indicates no transparency.

Sweep Angle  Sets the angle of the end point of this spiral.  A sweep angle of 360, for example, will indicate that the spiral will complete one revolution.

See Also

Using Chart Objects

Chart Objects Pane

Chart Objects List