Question

For a general norm on $\mathbb{R}^d$, how can the intersection of a ball's boundary and a cone be contained in a $(d-1)$-hyperplane?

score 92 · Answer 1 · 2026-03-25 04:58:45

92

Views

For a general norm on $\mathbb{R}^d$, how can the intersection of a ball's boundary and a cone be contained in a $(d-1)$-hyperplane?

Published on 25 Mar 2026 - 4:58

score 73 · Answer 2 · 2019-04-04 14:43:55

73

Views

Prove that $AK$ passes through passes the midpoint of $DE$.

Published on 04 Apr 2019 - 14:43

score 133 · Answer 3 · 2026-03-29 05:12:08

133

Views

The intersection points of an ellipse with a line parallel to the line which contains the two foci of the ellipse, and the foci are concyclic.

Published on 29 Mar 2026 - 5:12

score 119 · Answer 4 · 2019-04-04 18:25:18

119

Views

Pure geometry proof related to $(2+i)^2$

Published on 04 Apr 2019 - 18:25

score 194 · Answer 5 · 2019-04-04 22:01:55

194

Views

when is a point on a curve that minimizes the distance to another given point (that is not on the curve) unique?

Published on 04 Apr 2019 - 22:01

score 59 · Answer 6 · 2019-04-05 04:21:47

59

Views

Are perpendicular bisectors of an arbitrary $n$-gon concurrent ? If so, how to prove it?

Published on 05 Apr 2019 - 4:21

score 162 · Answer 7 · 2026-03-28 00:31:02

162

Views

Prove that the four points are concyclic if they are harmonically related w.r.t. the midpoint of connecting line segment.

Published on 28 Mar 2026 - 0:31

score 66 · Answer 8 · 2019-04-06 01:55:20

66

Views

Sum of Areas Geometry Problem. Cannot understand how provided answer is derived.

Published on 06 Apr 2019 - 1:55

score 801 · Answer 9 · 2026-03-29 16:19:05

801

Views

Problem involving triangle. Find $x$ in the figure

Published on 29 Mar 2026 - 16:19

score 83 · Answer 10 · 2019-04-06 12:03:14

83

Views

Prove that $K$ lies on a fixed circle and $AK$ passes through a fixed point.

Published on 06 Apr 2019 - 12:03

score 89 · Answer 11 · 2026-03-25 19:04:06

89

Views

Let $O$ and $O'$ be two circles intersecting at two points, $A$ and $B$. Construct a line segment going through $A$ bisected by the two circles

Published on 25 Mar 2026 - 19:04

score 66 · Answer 12 · 2026-03-29 16:20:15

66

Views

Find a point on segment of triangle that cuts 90 degrees from other triangle point

Published on 29 Mar 2026 - 16:20

score 53 · Answer 13 · 2019-04-06 16:03:53

53

Views

Sum of Areas Geometry Problem. Cannot understand how provided answer is derived.[updated with extra given info]

Published on 06 Apr 2019 - 16:03

score 404 · Answer 14 · 2026-03-25 16:00:25

404

Views

Determine if a point lies in a quadrangle

Published on 25 Mar 2026 - 16:00

score 279 · Answer 15 · 2026-04-01 00:18:10

279

Views

Finding angle with pure Geometry.

Published on 01 Apr 2026 - 0:18

List Question

For a general norm on $\mathbb{R}^d$, how can the intersection of a ball's boundary and a cone be contained in a $(d-1)$-hyperplane?

Prove that $AK$ passes through passes the midpoint of $DE$.

The intersection points of an ellipse with a line parallel to the line which contains the two foci of the ellipse, and the foci are concyclic.

Pure geometry proof related to $(2+i)^2$

when is a point on a curve that minimizes the distance to another given point (that is not on the curve) unique?

Are perpendicular bisectors of an arbitrary $n$-gon concurrent ? If so, how to prove it?

Prove that the four points are concyclic if they are harmonically related w.r.t. the midpoint of connecting line segment.

Sum of Areas Geometry Problem. Cannot understand how provided answer is derived.

Problem involving triangle. Find $x$ in the figure

Prove that $K$ lies on a fixed circle and $AK$ passes through a fixed point.

Let $O$ and $O'$ be two circles intersecting at two points, $A$ and $B$. Construct a line segment going through $A$ bisected by the two circles

Find a point on segment of triangle that cuts 90 degrees from other triangle point

Sum of Areas Geometry Problem. Cannot understand how provided answer is derived.[updated with extra given info]

Determine if a point lies in a quadrangle

Finding angle with pure Geometry.

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