uCircle(...)

Contents

Objects derived from the _uCircle abstract class, representing a spheric section of the Riemann sphere.

def uCircle

constructors:
returns:

A spheric section of the Riemann sphere
site ref:

http://mathworld.wolfram.com/SphericSection.html

class uCircumCircle

constructors:
  • uCircle(uPoint,uPoint,uPoint)
  • uCircumCircle(uPoint,uPoint,uPoint)
returns:

spheric section through 3 given points on the Riemann sphere .
site ref:

http://mathworld.wolfram.com/Circumcircle.html

class uCircleFromNormal

constructors:
  • uCircle(point,point)
  • uCircleFromNormal(point,point)
returns:

spheric section of the Riemann sphere cut by the plane at the initial point argument that is normal to the direction determined by the first and second point arguments
conditions:

plane from normal cuts the Riemann sphere
else returns:

None
site ref:

http://mathworld.wolfram.com/NormalVector.html

class uPolarCircle

constructors:
  • uCircle(point)
  • uPolarCircle(point)
returns:

spheric section of Riemann sphere cut by the plane polar to the point argument with respect to the Riemann sphere
conditions:

point exterior to the unit sphere
else returns:

None
site ref:

http://mathworld.wolfram.com/Polar.html

class z_to_uCircle

constructors:
  • uCircle(zCircle)
  • uCircle(zLine)
  • z_to_uCircle(zCircle)
  • z_to_uCircle(zLine)
returns:

the stereographic projection circle of the given circle or line of the complex plane onto the Riemann sphere.
site ref:

http://mathworld.wolfram.com/StereographicProjection.html