Question

Prove for any line $\{ a +tv \mid t \in k\}$ the embedding $\{[1: a_1+ tv_1: a_2+tv_2: ... : a_n +tv_n] \mid t \in K\}$ is a line.

score 24 · Answer 1 · 2021-04-02 10:19:10

24

Views

Prove for any line $\{ a +tv \mid t \in k\}$ the embedding $\{[1: a_1+ tv_1: a_2+tv_2: ... : a_n +tv_n] \mid t \in K\}$ is a line.

Published on 02 Apr 2021 - 10:19

score 246 · Answer 2 · 2021-04-02 14:52:36

246

Views

How to prove that the segment $FG= DJ+EH$

Published on 02 Apr 2021 - 14:52

score 34 · Answer 3 · 2021-04-03 14:40:39

34

Views

Prove that a homoegenous polynomial on $K^{n+1}$ of degree $ d<|K|$, vanishes at $|K|$ points on the line $\mathbb{P}^1 \subset \mathbb{P}^n$

Published on 03 Apr 2021 - 14:40

score 126 · Answer 4 · 2026-03-31 19:14:58

126

Views

Why are the polygons formed by many extended straight lines in a plane convex?

Published on 31 Mar 2026 - 19:14

score 948 · Answer 5 · 2021-04-05 06:48:55

948

Views

How to prove that $EO_1FO_2$ is a square?

Published on 05 Apr 2021 - 6:48

score 223 · Answer 6 · 2026-03-30 07:08:57

223

Views

Use straightedge (no compass) to find the centers of two intersecting circles

Published on 30 Mar 2026 - 7:08

score 110 · Answer 7 · 2021-04-05 16:29:32

110

Views

How to find $\angle DEG$?

Published on 05 Apr 2021 - 16:29

score 320 · Answer 8 · 2026-04-01 23:28:04

320

Views

how to solve this problem? ( Euclid Geometric )

Published on 01 Apr 2026 - 23:28

score 60 · Answer 9 · 2026-03-29 22:29:56

60

Views

I'm so confused with linear transformation of curves (e.g. ellipse) and change of basis

Published on 29 Mar 2026 - 22:29

score 303 · Answer 10 · 2021-04-10 15:47:17

303

Views

Can all triangles containing integer angles (in degrees) be solved by synthetic solutions (elementary geometry)?

Published on 10 Apr 2021 - 15:47

score 78 · Answer 11 · 2021-04-15 15:47:40

What is the vector equation for the line of intersection of two planes with the only given information being their distances from the origin?

score 152 · Answer 12 · 2021-04-18 05:27:42

152

Views

Normal vector to a plane; can it not touch the plane at all?

Published on 18 Apr 2021 - 5:27

score 293 · Answer 13 · 2021-04-19 03:22:35

293

Views

Concurrency involving equilateral triangles constructed outside a triangle

Published on 19 Apr 2021 - 3:22

score 61 · Answer 14 · 2021-04-22 10:59:13

61

Views

Plane from 3 points- the determinant formula doesn't work

Published on 22 Apr 2021 - 10:59

score 1.5k · Answer 15 · 2021-04-23 03:37:45

1.5k

Views

Finding a point on the line of intersection of two planes

Published on 23 Apr 2021 - 3:37

List Question

Prove for any line $\{ a +tv \mid t \in k\}$ the embedding $\{[1: a_1+ tv_1: a_2+tv_2: ... : a_n +tv_n] \mid t \in K\}$ is a line.

How to prove that the segment $FG= DJ+EH$

Prove that a homoegenous polynomial on $K^{n+1}$ of degree $ d<|K|$, vanishes at $|K|$ points on the line $\mathbb{P}^1 \subset \mathbb{P}^n$

Why are the polygons formed by many extended straight lines in a plane convex?

How to prove that $EO_1FO_2$ is a square?

Use straightedge (no compass) to find the centers of two intersecting circles

How to find $\angle DEG$?

how to solve this problem? ( Euclid Geometric )

I'm so confused with linear transformation of curves (e.g. ellipse) and change of basis

Can all triangles containing integer angles (in degrees) be solved by synthetic solutions (elementary geometry)?

What is the vector equation for the line of intersection of two planes with the only given information being their distances from the origin?

Normal vector to a plane; can it not touch the plane at all?

Concurrency involving equilateral triangles constructed outside a triangle

Plane from 3 points- the determinant formula doesn't work

Finding a point on the line of intersection of two planes

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