Question

Showing connection of cross-ratio and Schwarzian derivative for a holomorphic function $f$.

score 456 · Answer 1 · 2017-11-05 19:03:42

456

Views

Showing connection of cross-ratio and Schwarzian derivative for a holomorphic function $f$.

Published on 05 Nov 2017 - 19:03

score 233 · Answer 2 · 2017-12-19 16:21:46

233

Views

What is the analogue of the cross ratio in higher dimensions and what role does it play in n-dimensional geometry?

Published on 19 Dec 2017 - 16:21

score 420 · Answer 3 · 2020-09-03 15:11:32

420

Views

prove cross ratio of 4 point on a circle is invariant

Published on 03 Sep 2020 - 15:11

score 186 · Answer 4 · 2020-11-07 08:14:29

186

Views

Show that the harmonic conjugates are collinear - Menelaus and Ceva's Theorems with homogeneous coordinates

Published on 07 Nov 2020 - 8:14

score 638 · Answer 5 · 2020-11-21 19:34:00

638

Views

Can one prove Pappus hexagon theorem with cross ratios alone

Published on 21 Nov 2020 - 19:34

score 83 · Answer 6 · 2021-05-15 18:19:51

83

Views

Show that there exists a line that intersects with all lines $l$.

Published on 15 May 2021 - 18:19

score 40 · Answer 7 · 2021-06-22 17:28:31

40

Views

Will $S(\infty)$ lie on the same circle as that of $S(\mathbb R)$ for every Möbius transformation $S\ $?

Published on 22 Jun 2021 - 17:28

score 265 · Answer 8 · 2021-06-26 03:45:52

265

Views

What is meant by "cross ratio of four points" in Weyl's discussion of the Klein Disk?

Published on 26 Jun 2021 - 3:45

score 97 · Answer 9 · 2021-06-27 09:30:56

97

Views

If ($ACBD$) $= -1$, show that $DA \cdot DB = DC \cdot DO$, where O is the midpoint of the segment $AB$.

Published on 27 Jun 2021 - 9:30

score 114 · Answer 10 · 2021-06-29 19:16:07

114

Views

Proof that given 4 harmonic lines a,b,c,d if the line a bisects the angle between c and d, b must be perpendicular to a

Published on 29 Jun 2021 - 19:16

score 240 · Answer 11 · 2021-07-09 00:19:00

240

Views

What can be said about the coefficients of linear transformations which transforms the real axis into the imaginary axis?

Published on 09 Jul 2021 - 0:19

score 124 · Answer 12 · 2021-08-08 02:37:31

124

Views

mapping the circle $|z|=3$ into $|z-1|=1$, the point $3+3i$ into $1$ and the point $3$ into $0$.

Published on 08 Aug 2021 - 2:37

score 1.3k · Answer 13 · 2021-08-16 17:07:34

1.3k

Views

On a Geometric Proof (Ahlfors) that the Cross ratio is real if and only if four points lie on a circle or straight line

Published on 16 Aug 2021 - 17:07

score 180 · Answer 14 · 2021-09-24 08:43:48

180

Views

Prove product of 3 cross-ratios equals to 1 or -1

Published on 24 Sep 2021 - 8:43

score 124 · Answer 15 · 2021-10-28 15:21:31

124

Views

Synthetic proof of X(12) - harmonic conjugate of Feuerbach point

Published on 28 Oct 2021 - 15:21

List Question

Showing connection of cross-ratio and Schwarzian derivative for a holomorphic function $f$.

What is the analogue of the cross ratio in higher dimensions and what role does it play in n-dimensional geometry?

prove cross ratio of 4 point on a circle is invariant

Show that the harmonic conjugates are collinear - Menelaus and Ceva's Theorems with homogeneous coordinates

Can one prove Pappus hexagon theorem with cross ratios alone

Show that there exists a line that intersects with all lines $l$.

Will $S(\infty)$ lie on the same circle as that of $S(\mathbb R)$ for every Möbius transformation $S\ $?

What is meant by "cross ratio of four points" in Weyl's discussion of the Klein Disk?

If ($ACBD$) $= -1$, show that $DA \cdot DB = DC \cdot DO$, where O is the midpoint of the segment $AB$.

Proof that given 4 harmonic lines a,b,c,d if the line a bisects the angle between c and d, b must be perpendicular to a

What can be said about the coefficients of linear transformations which transforms the real axis into the imaginary axis?

mapping the circle $|z|=3$ into $|z-1|=1$, the point $3+3i$ into $1$ and the point $3$ into $0$.

On a Geometric Proof (Ahlfors) that the Cross ratio is real if and only if four points lie on a circle or straight line

Prove product of 3 cross-ratios equals to 1 or -1

Synthetic proof of X(12) - harmonic conjugate of Feuerbach point

Trending Questions

Popular # Hahtags

Popular Questions