zPoint(...)
Object derived from the _zPoint abstract class, representing a point of the complex plane, with its position determined with respect to its numeric, geometric, and/or constant arguments
def zPoint
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returns: | A point of the origin centered 'unit sphere'_, as determined by its arguments |
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class zFixedPoint
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returns: | a point on the complex plane. With 2 float arguments, the 1st is the real, the second the imaginary element. Also accepts a complex number argument. |
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class zPolarPoint
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returns: | a point on the complex plane expressed in polar coordinates , with the angle keyword argument defaulting to PI and the dist keyword argument defaulting to 1. |
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class zConjugate
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returns: | the complex conjugate of the given complex point. |
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class zOrthoPoint
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returns: | the point of the complex plane orthogonal to the given complex point, i.e. the point antipodal to it's stereographic projection onto the 'unit sphere`_. |
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class zInversePoint
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returns: | the point of complex 'inverse point'_ to the given complex point with respect to the given circle |
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class zPowerPoint
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returns: | the point of intersection of the radical axis of the given circles and the line of the circles' centers |
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class zRotation
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returns: | the rotation of the second point argument induced by the rotation of the unit sphere , with the stereographic projection of the first point argument as axis of rotation . |
site ref: | http://www.math.union.edu/~dpvc/math/4D/stereo-projection/welcome.html |
class z_uRotation
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returns: | the rotation of the second point argument induced by the rotation of the unit sphere , with the upoint argument as axis of rotation . |
site ref: | http://www.math.union.edu/~dpvc/math/4D/stereo-projection/welcome.html |
class zCircumPoint
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returns: | the point on the given circle rotated by the given angle (in radians) |
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class zHarmonic
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returns: | the harmonic conjugate of the 3rd argument with the respect to the first 2 arguments |
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class zCrossPoint
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returns: | the Mobius transformation of the 4th point of the first point set, defined by the ordered correspondance of the first 3 points in the first point set to the 3 points in the second point set |
site ref: | http://s13a.math.aca.mmu.ac.uk/Geometry/M23Geom/XRatio/xratio.html |