Hyperbolic Arc
Create a hyperbolic arc to be used either as a building block for constructing geometry or as a wire.
Hyperbolic arcs are often used in conjunction with the spin operator to create hyperbolic dishes for reflector antennas.
On the Construct tab, in the Create Arc group, click the
Tip: Press A,3 to use the shortcut key.
Method 1: Base centre, depth, radius, eccentricity
|
Base centre (C) | The centre of the hyperbola on which the arc lies. |
Depth (D) | The distance from the apex of the hyperbola to the centre of the arc aperture. | |
Radius (R) | The radius of the aperture of the hyperbolic arc. | |
Eccentricity | The eccentricity of the hyperbola on which the hyperbolic arc section lies. |
1<ε≤√1+R2D2
where D is denoted by the depth, R by the aperture
radius R and
ε
the eccentricity.Method 2: Aperture centre, depth, radius, eccentricity
|
Aperture centre (C) | The centre of the aperture formed by the hyperbolic arc. |
Depth (D) | The distance from the apex of the hyperbola to the centre of the arc aperture. | |
Radius (R) | The radius of the aperture of the hyperbolic arc. | |
Eccentricity | The eccentricity of the hyperbola on which the hyperbolic arc section lies.
The eccentricity must be greater than one to specify a valid hyperbola. Note: Not
all values greater than one specifies a valid hyperbola. |
1<ε≤√1+R2D2
where D is denoted by the depth, R by the aperture
radius R and
ε
the eccentricity.