Hyperbola

The Hyperbola command draws a hyperbolic curve.

Steps

Follow the prompts for the selected option.

Command-line options

Default (Center)

The default option draws the hyperbola from the center, focus, and end.

Center steps

1. Pick the center.
2. Pick the focus.
3. Pick the end.

FromCoefficient

The FromCoefficient option uses the A and B coefficients of the hyperbola equation to define the curve.

FromCoefficient steps

1. Pick the center.
2. Pick a direction.
3. Pick the end.

FromCoefficient options

A/B

These are the A and B coefficients of the equation that defines the hyperbola. The A coefficient represents the distance from the center point to the vertex of the hyperbola. If C is the distance from the center point to the foci of the hyperbola, then B2 = C2 - A2. The B coefficient can be considered the slope of the asymptotes.

FromFoci

The FromFoci option draws the hyperbola starting from the focus points.

FromFoci steps

1. Pick the first focus.
2. Pick the second focus.
3. Pick the end.

FromVertex

The FromVertex option draws the hyperbola starting from the vertices.

FromVertex steps

1. Pick the vertex.
2. Pick the focus.
3. Pick the end.

Drawing and display options

MarkFoci=Yes/No

If Yes, a point object is placed at the focus locations.

BothBranches=Yes/No

If Yes both branches of the hyperbola are drawn.

ShowAsymptotes=Yes/No

If Yes, the asymptotes of the hyperbola are displayed as it is drawn.

See also

Draw lines and curves


Rhinoceros 5 © 2010-2015 Robert McNeel & Associates. 17-Sep-2015