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How to find explicitly the Klein j-invariant

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#algebraic-geometry #galois-theory #rational-functions #mobius-transformation #cross-ratio
70
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Finding a Möbius transformation from $\{z=x+iy\in\mathbb{C}:x+y>0\}$ to $D(1,4)$.

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#complex-analysis #complex-numbers #conformal-geometry #mobius-transformation #cross-ratio
50
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Cross ratio on $T(z)=(z,2i;2,-2)$ and $S(w)=(w,-1;2i,1+4i)$

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#geometry #mobius-transformation #cross-ratio
185
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Why does this cross ratio equal infinity?

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#infinity #cross-ratio
237
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cross ratio definition

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#projective-geometry #cross-ratio
973
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Mapping $|z|=1$ and $|z-\frac{1}{4}|=\frac{1}{4}$ into concentric circles using the cross ratio

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#complex-analysis #linear-transformations #cross-ratio
606
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Most general linear transformation of $|z|=r$ into itself using cross ratio

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#complex-analysis #linear-transformations #cross-ratio
40
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Constructing a point in a projective line given other seven points and two cross-ratios

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#projective-geometry #cross-ratio
132
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Vanishing points are collinear

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#geometry #projective-geometry #computer-vision #cross-ratio
184
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Two complex numbers are symmetric with respect to a circle iff a certain equation is satisfied

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#complex-analysis #mobius-transformation #cross-ratio
107
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If the consecutive vertices $z_1,z_2,z_3,z_4$ of a quadrilateral lie on a circle prove that...

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#complex-numbers #cross-ratio
88
Views

Determine the involution when given two pairs of point on a line

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#projective-geometry #involutions #cross-ratio
52
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Cross ratio of 5 coplanar points

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#projective-geometry #python #cross-ratio
218
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References for a formula generalizing the "cross ratio = -1" characterization of harmonic division.

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#geometry #trigonometry #reference-request #projective-geometry #cross-ratio
150
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Geometry : Prove that $PE=PC$

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#geometry #euclidean-geometry #circles #projective-geometry #cross-ratio

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