z

z

z

\bar{z}

\frac{1}{z}

\frac{1}{\bar{z}}

Ha 2016

1

Inversion am Kreis

algebraische
Inversion
komplexer Zahlen

-φ

zz = (1.1866666666666728, 0.6088888888888906)
zz' = Mirror(zz, xAxis)
O = Intersect(xAxis, yAxis)
c = Circle(O, 1)
f = Ray(O, zz)
g = Ray(O, zz')
zz'_1 = Mirror(zz, c)
zz'' = Mirror(zz', c)
i = OrthogonalLine(zz'', g)
A = (-1.16, -1.3863703703703703)
C = (-0.656296296296296, -1.3863703703703703)
B = Point(xAxis)
φ = Angle(B, O, zz)
β = Angle(zz', O, B)