Question

Why is there only one point at infinity in the extended complex plane, but one in each direction in the real projective plane?

score 316 · Answer 1 · 2026-03-25 01:38:04

316

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Why is there only one point at infinity in the extended complex plane, but one in each direction in the real projective plane?

Published on 25 Mar 2026 - 1:38

score 76 · Answer 2 · 2026-03-25 09:29:00

76

Views

If angles $A$, $B$, $C$ of convex quadrilateral $\square ABCD$ are equal, then $D$ lies on the Euler line of $\triangle ABC$

Published on 25 Mar 2026 - 9:29

score 167 · Answer 3 · 2018-09-19 05:42:08

167

Views

What is the surface area an ellipse takes up on a sphere?

Published on 19 Sep 2018 - 5:42

score 287 · Answer 4 · 2026-03-25 01:17:00

287

Views

Intersection of projective quadric and affine plane.

Published on 25 Mar 2026 - 1:17

score 951 · Answer 5 · 2018-09-25 10:39:26

951

Views

Homogeneous coordinate representation of a vertical line

Published on 25 Sep 2018 - 10:39

score 286 · Answer 6 · 2026-03-25 18:47:10

286

Views

Projective classification of quadric from affine classification

Published on 25 Mar 2026 - 18:47

score 43 · Answer 7 · 2018-09-26 08:20:32

43

Views

Informal definition of the real projective line $\mathbb{R}\mathbb{P}^1$

Published on 26 Sep 2018 - 8:20

score 674 · Answer 8 · 2018-09-26 15:15:49

674

Views

Hyperplane tangent to a projective variety.

Published on 26 Sep 2018 - 15:15

score 1.1k · Answer 9 · 2018-09-26 17:21:18

1.1k

Views

Equivalent definitions of Dual of a variety.

Published on 26 Sep 2018 - 17:21

score 428 · Answer 10 · 2018-09-26 21:44:05

428

Views

Intersection of ray with plane given in homogeneous coordinates

Published on 26 Sep 2018 - 21:44

score 331 · Answer 11 · 2026-02-23 04:47:08

331

Views

What are all the functions that preserve the cross ratio?

Published on 23 Feb 2026 - 4:47

score 2.1k · Answer 12 · 2026-03-25 02:59:14

2.1k

Views

Visualization of p-adic numbers

Published on 25 Mar 2026 - 2:59

score 27 · Answer 13 · 2018-10-04 19:37:10

27

Views

Stabilize positions of a cluster of points in three dimensions

Published on 04 Oct 2018 - 19:37

score 101 · Answer 14 · 2026-03-26 01:03:09

101

Views

Prove polynomial on $\mathbb{CP}^1$ has finite singular values

Published on 26 Mar 2026 - 1:03

score 397 · Answer 15 · 2018-10-12 23:14:06

397

Views

Equations plane in projective space

Published on 12 Oct 2018 - 23:14

List Question

Why is there only one point at infinity in the extended complex plane, but one in each direction in the real projective plane?

If angles $A$, $B$, $C$ of convex quadrilateral $\square ABCD$ are equal, then $D$ lies on the Euler line of $\triangle ABC$

What is the surface area an ellipse takes up on a sphere?

Intersection of projective quadric and affine plane.

Homogeneous coordinate representation of a vertical line

Projective classification of quadric from affine classification

Informal definition of the real projective line $\mathbb{R}\mathbb{P}^1$

Hyperplane tangent to a projective variety.

Equivalent definitions of Dual of a variety.

Intersection of ray with plane given in homogeneous coordinates

What are all the functions that preserve the cross ratio?

Visualization of p-adic numbers

Stabilize positions of a cluster of points in three dimensions

Prove polynomial on $\mathbb{CP}^1$ has finite singular values

Equations plane in projective space

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