Parabola

Toolbar	Menu
Curve Curve Drawing	Curve Parabola > <Options>

Toolbar

Toolbar: Curve | Curve Drawing

Curve Drawing

Curve

Parabola >

The Parabola command draws a parabolic curve.

Steps

Follow the prompts for the selected option.
If no option is specified, the default is used.

Command-line options
MarkFocus	Places a point object at the focus location.
Half	Draws only half the parabola.
Focus	Lets you pick a focus point, direction, and end location. Focus steps Pick the focus. Pick a direction. This is the open direction. Pick the end. The focus to vertex distance and length of the parabola display at the command prompt.
Vertex	Lets you pick a vertex point, a focus point, and an end location. Vertex steps Pick the vertex. Pick the focus. This is the open direction. Pick the end. The focus to vertex distance and length of the parabola display at the command prompt.

Command-line options

MarkFocus

Places a point object at the focus location.

Half

Draws only half the parabola.

Focus

Lets you pick a focus point, direction, and end location.

Focus steps

Pick the focus.
Pick a direction.
This is the open direction.
Pick the end.
The focus to vertex distance and length of the parabola display at the command prompt.

Vertex

Lets you pick a vertex point, a focus point, and an end location.

Vertex steps

Pick the vertex.
Pick the focus.
This is the open direction.
Pick the end.
The focus to vertex distance and length of the parabola display at the command prompt.

Parabola3Pt

Toolbar	Menu
Curve Curve Drawing	Not on menus.

Toolbar

Toolbar: Curve | Curve Drawing

Curve
Curve Drawing

Not on menus.

The Parabola3Pt command draws a parabolic curve through three picked points.

Steps

Follow the prompts for the selected option.
If no option is specified, the default is used.

Command-line options
Mode	The Mode options specify the function of picked point that does not specify an endpoint. Focus The Focus option lets you pick two endpoints and a focus point. ThroughPoint The ThroughPoint option lets you pick two endpoints and a location for the parabola to pass through. Vertex The Vertex option lets you pick two end points and a vertex point.
PickOrder	Default The Default option sets a start point, a second point that depends on the Mode setting, and then an endpoint. EndsFirst Specify the endpoints first and then the focus, throughpoint, or vertex mode. EndsLast Specify the focus, throughpoint, or vertex mode first and then the endpoints.
MarkFocus	Places a point object at the focus location.

Command-line options

Mode

The Mode options specify the function of picked point that does not specify an endpoint.

Focus

The Focus option lets you pick two endpoints and a focus point.

ThroughPoint

The ThroughPoint option lets you pick two endpoints and a location for the parabola to pass through.

Vertex

The Vertex option lets you pick two end points and a vertex point.

PickOrder

Default

The Default option sets a start point, a second point that depends on the Mode setting, and then an endpoint.

EndsFirst

Specify the endpoints first and then the focus, throughpoint, or vertex mode.

EndsLast

Specify the focus, throughpoint, or vertex mode first and then the endpoints.

MarkFocus

Places a point object at the focus location.

Hyperbola

Toolbar	Menu
Curve	Curve Hyperbola > <Options>

Toolbar

Toolbar: Curve

Curve

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 Pick the center. Pick the focus. Pick the end.
FromCoefficient	The FromCoefficient option uses the A and B coefficients of the hyperbola equation to define the curve. FromCoefficient steps Pick the center. Pick a direction. Pick the end. 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 Pick the first focus. Pick the second focus. Pick the end.
FromVertex	The FromVertex option draws the hyperbola starting from the vertices. FromVertex steps Pick the vertex. Pick the focus. Pick the end.

Command-line options

Default
(Center)

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

Center steps

Pick the center.
Pick the focus.
Pick the end.

FromCoefficient

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

FromCoefficient steps

Pick the center.
Pick a direction.
Pick the end.

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

Pick the first focus.
Pick the second focus.
Pick the end.

FromVertex

The FromVertex option draws the hyperbola starting from the vertices.

FromVertex steps

Pick the vertex.
Pick the focus.
Pick the end.

Drawing and display options
MarkFoci	Places point object at the focus locations.
BothBranches	Both branches of the hyperbola are drawn.
ShowAsymptotes	The asymptotes of the hyperbola are displayed as it is drawn.

Drawing and display options

MarkFoci

Places point object at the focus locations.

BothBranches

Both branches of the hyperbola are drawn.

ShowAsymptotes

The asymptotes of the hyperbola are displayed as it is drawn.

Parabola

Steps

Focus steps

Vertex steps

Parabola3Pt

Steps

Focus

ThroughPoint

Vertex

Default

EndsFirst

EndsLast

Hyperbola

Steps

Center steps

FromCoefficient steps

A / B

FromFoci steps

FromVertex steps

See also