Index of the zplane module
-
m
base.geometry_complex.zplane
...
- objects of the complex plane
-
m
zpoints
...
- objects representing a point of the complex plane
-
m
z_points
...
- points of the complex plane with fixed or dependant position
-
f
zPoint
...
- factory' function returns instance of a class representing a point of the
complex plane with position fixed or dependant on its arguments
-
C
u_to_zPoint
...
- complex point (stereographically) projected from the given point of
the Riemann sphere
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C
zPowerPoint
...
- complex point of intersection of the radical axis of the given 2 circles
and the line of the circles' centers
-
C
zRotation
...
- complex point determined by stereographic projection of the rotation of
the second complex point argument, with the projection of the first complex point
argument as the rotation axis, by the given angle.
-
C
zCircumPoint
...
- complex point on the given complex circle rotated by the given
angle (in radians)
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C
zPolarPoint
...
- complex point fixed at given 'angle' and 'dist' polar coordinates
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C
zInversePoint
...
- complex point inverse to the given complex point with respect to
the given complex circle
-
C
zFixedPoint
...
- complex point fixed at given (real, imaginary) coordinates
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C
zOrthoPoint
...
- complex point orthogonal to the given complex point, i.e. antipodal
to it's stereographic projection onto the Riemann sphere.
-
C
zHarmonic
...
- complex point harmonic conjugate to the 3rd given complex point with
the respect to the 1st and 2nd given complex points
-
C
zConjugate
...
- complex point conjugate of the given complex point
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C
z_uRotation
...
- complex point determined by stereographic projection of the rotation of
the complex point argument, with the given point of the Riemann sphere
as the rotation axis, by the given angle.
-
m
z_mobpoints
...
- points of the complex plane with position determined in connection with
a defined Moebius transformation
-
f
mobPoint
...
- factory' function returns instance of a class representing the Mobius transoformation of
a given point
-
C
mobFixed
...
- complex point representing one of the points fixed of the given
Mobius transformation
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C
mobInversePole
...
- complex point to which the point at infinity is transformed under the given
Mobius transformation
-
C
mobPole
...
- complex point which is transformed to the point at infinity under the given
Mobius transformation
-
m
z_sliders
...
- points of the complex plane which can be picked and moved
-
f
zSlider
...
- factory' function returns instance of a class representing a point of the
complex plane which can be picked and moved
-
C
zLineSlider
...
- complex point on the given complex line which can be picked, with movement constrained to
the given line and with initial position determined by the 'ratio' keyword.
-
C
zCircleSlider
...
- complex point on the given complex circle which can be picked, with movement constrained to
the given circle and with initial position determined by the 'angle' keyword.
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C
zFreePoint
...
- complex point intially at given (real,imaginary) coordinates that can be picked and
moved freely on the complex plane
-
m
z_anipoints
...
- points of the complex plane which change position at each update cycle
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f
zAniPoint
...
- factory function returns instance of a class representing a point of the
complex plane which moves along a given object or defined path at each update cycle
-
C
zSlidingPoint
...
- complex point which moves along the given complex line, at a rate
determined by the 'rate' keyword
-
C
zCirclingPoint
...
- complex point which moves along the given complex circle, at a rate
determined by the 'rate' keyword, and initial position determined by
the 'angle' keyword.
-
C
zRotatingPoint
...
- complex point which moves the 2nd given complex point along the path induced by the
rotation of the unit sphere, with the stereographic projection of the first complex point
argmuent as axis of rotation, and initial position determined by the 'angle' keyword.
-
m
z_lines
...
- lines of the complex plane (i.e. circles of infinite radius)
-
f
zLine
...
- factory function returns instance of a class representing a line
(circle of infinite radius) of the complex plane
-
C
zBiChord
...
- line of the complex plane determined as the radical axis
of the given 2 the complex circles arguments
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C
zLineFromPoints
...
- line of the complex plane through the given 2 complex point arguments
-
m
z_circles
...
- circles of the complex plane
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f
zCircle
...
- factory' function returns instance of a class representing the locus
of points equidistant from a given point of the complex plane
-
C
zFundamentalCircle
...
- complex circle by which the first zcircle argument is tranformed to
second zcircle argument by inversion . required 'alt=FUNDAMENTAL' keyword
-
C
u_to_zCircle
...
- complex circle as the stereographic projection of the given spheric section
of the Riemann sphere to the complex plane
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C
zOrthoCircle_Circum
...
- complex circle orthogonal to the given complex circle,
and through the given 2 zpoint arguments.
-
C
zInverseCircle
...
- complex circle inverse to the second given zcircle argument with respect
to the first given zcircle
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C
zUnitCircle
...
- "
complex circle with center at origin center and unit radius
-
C
zOrthoCircle
...
- complex circle orthogonal to the given complex circle , with
given zpoint as center
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C
zCircleFromPoints
...
- complex circle with the first given zpoint as center
and the second given zpoint on the circumference
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C
zCircumCircle
...
- complex circle through the given 3 zpoints
-
m
z_pointarrays
...
- array of points of the complex plane
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f
zPointArray
...
- factory' function returns instance of a class representing an array of points
of the complex plane
-
C
zLinePoints
...
- array of complex points equidistant on a given line of the complex plane
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C
zCirclePoints
...
- array of complex points equidistant on thecircumference of the given complex circle
-
m
z_linearrays
...
- array of lines on the complex plane
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f
zLineArray
...
- factory function returns instance a class representing an array of
lines (i.e. circles of infinite radius) on the complex plane
-
C
zLinePencil
...
- array of lines on the complex plane and through the given complex point
-
m
z_circlepencils
...
- array of circles of the complex plane
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f
zCirclePencil
...
- factory' function returns instance of a class representing an array of circles
on the complex plane
-
C
u_to_zCirclePencil
...
- array of complex circles generated by the stereographic projection
of a pencil of spheric sections of the Riemann sphere
-
C
zCircles
...
- array of complex circles generated by the given 2 complex circles
-
m
z_transforms
...
- geometric objects of the complex plane as transformed by a given Moebius
tranformation
-
f
mobTransform
...
- factory function returns instance of a class representing a given list of objects
transformed by a Moebius tranformation
-
C
mobReciprocate
...
- Mobius transformation reciprocating the given list of objects
of the complex plane
-
C
mobInverse
...
- Mobius transformation applied to the given list of objects of the complex plane
defined by the matrix inverse of matrix representing the given Mobius transformation
-
C
mobMapCircles
...
- Mobius transformation applied to the given list of objects of the complex plane mapping
the interior of the first given complex circle to the exterior of the second
given complex circle,
-
C
mobUnitCircle
...
- Mobius transformation applied to the given list of objects of the complex plane
mapping the given complex circle to the unit circle.
-
C
mobTranslate
...
- Mobius transformation translating the given list of objects of the complex plane
in the direction of the given complex point
-
C
mobMultiply
...
- Mobius transformation multiplying the given list of objects of the complex plane
by the given complex point
-
C
mobPointSets
...
- Mobius transformation applied to the given list of objects of the complex plane
mapping the 3 (ordered) complex points of the first point set
to the 3 (ordered) complex points of the second point set.
-
C
mobRotate
...
- Mobius transformation applied to the given list of objects of the complex plane
induced by the rotation of the Riemann sphere, with the stereographic projection of the
given complex point as axis, by the given numeric angle (in radians)
-
C
mobFromFixed
...
- Mobius transformation applied to the given list of objects of the complex plane
with the given 2 complex points as fixed points, and the given numerical
value as the transformation mulitplier
-
m
z_plane
...
- the complex plane, as drawing reference to
-
C
zPlane
...
-
plane for drawing reference to the complex plane
and taking no arguments