Question

Is there a way to tell the how close a shape is from being a circle?

score 60 · Answer 1 · 2026-04-10 19:14:30

60

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Is there a way to tell the how close a shape is from being a circle?

Published on 10 Apr 2026 - 19:14

score 46 · Answer 2 · 2026-04-15 16:41:58

46

Views

What is the cartesian equation of the $y=x^2$ parabola when it slides normally on the $f(x)= 3 \cos(x/3)$ curve with vertex at $(a, f(a))$.

Published on 15 Apr 2026 - 16:41

score 49 · Answer 3 · 2026-04-17 06:20:56

49

Views

Proving the inequality $|x|^2 + |y|^2 < 1 + |xy|^2$ for $x, y \in B_1(0) \subset \mathbb{C}$

Published on 17 Apr 2026 - 6:20

score 36 · Answer 4 · 2026-04-12 02:50:35

36

Views

Exercise of Vectors

Published on 12 Apr 2026 - 2:50

score 44 · Answer 5 · 2026-03-25 17:25:05

44

Views

On the Elements of Coordinate Geometry

Published on 25 Mar 2026 - 17:25

score 74 · Answer 6 · 2026-04-14 17:01:22

74

Views

Find angle $\alpha$ formed in a triangle between two squares

Published on 14 Apr 2026 - 17:01

score 102 · Answer 7 · 2026-04-16 00:10:17

102

Views

Equation of the parabola $y=x^2$ sliding normally on the ellipse $x^2/6^2+y^2/3^2=1$, and opening outwards. How to avoid the use of $\text{sgn}(x)$?

Published on 16 Apr 2026 - 0:10

score 40 · Answer 8 · 2026-04-12 07:49:46

40

Views

a problem about an equilateral triangle that is projected from a plane P to another plane P'

Published on 12 Apr 2026 - 7:49

score 151 · Answer 9 · 2026-04-16 05:32:31

151

Views

The center & radius of the largest circle touching two parabolas $y^2=4x$ and $x^2=4y$.

Published on 16 Apr 2026 - 5:32

score 144 · Answer 10 · 2026-04-24 20:21:58

144

Views

Minimum value of of $a+b+\frac{1}{ab}$

Published on 24 Apr 2026 - 20:21

score 36 · Answer 11 · 2026-04-16 01:57:41

36

Views

Showing that $\left|\frac{2w}{w^2 - x^2}\right|\leq\frac{4r}{x^2}$ if $|w| \leq r$, $\sqrt{2}r < x$, $w \in \mathbb{C}$, $x\in \mathbb{R}$

Published on 16 Apr 2026 - 1:57

score 263 · Answer 12 · 2026-03-26 07:58:58

263

Views

Projecting an ellipse defined on a sphere onto the XY plane

Published on 26 Mar 2026 - 7:58

score 263 · Answer 13 · 2026-04-15 10:01:03

263

Views

Applied Geometry: Determining whether a given arc represents a circle or an ellipse

Published on 15 Apr 2026 - 10:01

score 57 · Answer 14 · 2026-04-11 18:04:12

57

Views

Computing $r$ for a $1\times r$ strip inside (cut from) a $1\times (1-r)$ rectangle

Published on 11 Apr 2026 - 18:04

score 316 · Answer 15 · 2026-04-09 16:22:18

316

Views

A geometric problem with families of congruent curves.

Published on 09 Apr 2026 - 16:22

List Question

Is there a way to tell the how close a shape is from being a circle?

What is the cartesian equation of the $y=x^2$ parabola when it slides normally on the $f(x)= 3 \cos(x/3)$ curve with vertex at $(a, f(a))$.

Proving the inequality $|x|^2 + |y|^2 < 1 + |xy|^2$ for $x, y \in B_1(0) \subset \mathbb{C}$

Exercise of Vectors

On the Elements of Coordinate Geometry

Find angle $\alpha$ formed in a triangle between two squares

Equation of the parabola $y=x^2$ sliding normally on the ellipse $x^2/6^2+y^2/3^2=1$, and opening outwards. How to avoid the use of $\text{sgn}(x)$?

a problem about an equilateral triangle that is projected from a plane P to another plane P'

The center & radius of the largest circle touching two parabolas $y^2=4x$ and $x^2=4y$.

Minimum value of of $a+b+\frac{1}{ab}$

Showing that $\left|\frac{2w}{w^2 - x^2}\right|\leq\frac{4r}{x^2}$ if $|w| \leq r$, $\sqrt{2}r < x$, $w \in \mathbb{C}$, $x\in \mathbb{R}$

Projecting an ellipse defined on a sphere onto the XY plane

Applied Geometry: Determining whether a given arc represents a circle or an ellipse

Computing $r$ for a $1\times r$ strip inside (cut from) a $1\times (1-r)$ rectangle

A geometric problem with families of congruent curves.

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