| | Describes a branch of a hyperbola in 3D space.
A hyperbola is defined by its major and minor radii and
positioned in space with a coordinate system (a gp_Ax2
object) of which:
- the origin is the center of the hyperbola,
- the "X Direction" defines the major axis of the
hyperbola, and
- the "Y Direction" defines the minor axis of the hyperbola.
The origin, "X Direction" and "Y Direction" of this
coordinate system together define the plane of the
hyperbola. This coordinate system is the "local <br>
coordinate system" of the hyperbola. In this coordinate
system, the equation of the hyperbola is:
X*X/(MajorRadius**2)-Y*Y/(MinorRadius**2) = 1.0
The branch of the hyperbola described is the one located
on the positive side of the major axis.
The "main Direction" of the local coordinate system is a
normal vector to the plane of the hyperbola. This vector
gives an implicit orientation to the hyperbola. We refer to
the "main Axis" of the local coordinate system as the
"Axis" of the hyperbola.
The following schema shows the plane of the hyperbola,
and in it, the respective positions of the three branches of
hyperbolas constructed with the functions OtherBranch,
ConjugateBranch1, and ConjugateBranch2:
More...
|
1.6.3