Question

Intersections of circles in a flat plane, when all radii are perturbed by a constant amount

score 173 · Answer 1 · 2026-04-12 23:41:04

173

Views

Intersections of circles in a flat plane, when all radii are perturbed by a constant amount

Published on 12 Apr 2026 - 23:41

score 132 · Answer 2 · 2026-04-14 22:35:01

132

Views

If the bisector of $\angle A$ in $\triangle ABC$ meets $BC$ at $U$, prove that $AU^2 =bc\left(1-\frac{a^2}{(b+c)^2}\right)$

Published on 14 Apr 2026 - 22:35

score 258 · Answer 3 · 2026-04-16 01:05:45

258

Views

Solving ODE Derived from Weird Problem: $\sqrt{k^2-{f'(t)}^2}f(t)-\sqrt{t^2-{f(t)}^2}f'(t)=t\sqrt{k^2-1}$

Published on 16 Apr 2026 - 1:05

score 41 · Answer 4 · 2026-04-14 18:33:51

41

Views

2-sphere and spherinder projection from 4D to 3D

Published on 14 Apr 2026 - 18:33

score 131 · Answer 5 · 2026-04-11 20:20:48

131

Views

Can the irrationality of $\sqrt3$ be proven geometrically by infinite descent, similarly to Tom Apostol's proof of the irrationality of $\sqrt2$?

Published on 11 Apr 2026 - 20:20

score 50 · Answer 6 · 2026-04-17 14:18:10

50

Views

Is there a good resource for constructions using double-edged straightedge?

Published on 17 Apr 2026 - 14:18

score 65 · Answer 7 · 2026-04-09 23:00:50

65

Views

How to think about elliptic (positive curvature) space? Is it really a sphere?

Published on 09 Apr 2026 - 23:00

score 234 · Answer 8 · 2026-04-13 20:57:45

234

Views

Answer with no trigonometry... Let $\triangle ABC$ be isosceles with $AB=AC$. Let $D$ such that $BD=AD$. Calculate the angles of the triangle $AED$.

Published on 13 Apr 2026 - 20:57

score 63 · Answer 9 · 2026-04-11 11:55:46

63

Views

Euclid's theory of magnitudes

Published on 11 Apr 2026 - 11:55

score 50 · Answer 10 · 2026-04-15 21:46:57

50

Views

On the products of lengths of adjacent sides in a cyclic quadrilateral

Published on 15 Apr 2026 - 21:46

score 32 · Answer 11 · 2026-04-14 19:57:27

32

Views

Verify this upper and lower bound for the sequence for number of intersections from adding the $n+1$th transversal to one pair of parallel lines?

Published on 14 Apr 2026 - 19:57

score 168 · Answer 12 · 2026-04-16 14:58:45

168

Views

Determine the value, in degrees, of x in the quadrilateral below

Published on 16 Apr 2026 - 14:58

score 67 · Answer 13 · 2026-04-15 01:27:58

67

Views

Find the measure of the $PQ$ segment in the regular octagon below

Published on 15 Apr 2026 - 1:27

score 130 · Answer 14 · 2026-04-12 21:59:42

130

Views

A clue for the geometry problem

Published on 12 Apr 2026 - 21:59

score 99 · Answer 15 · 2026-04-11 07:12:09

99

Views

Does exterior angle bisector theorem hold for every non-equilateral triangle?

Published on 11 Apr 2026 - 7:12

List Question

Intersections of circles in a flat plane, when all radii are perturbed by a constant amount

If the bisector of $\angle A$ in $\triangle ABC$ meets $BC$ at $U$, prove that $AU^2 =bc\left(1-\frac{a^2}{(b+c)^2}\right)$

Solving ODE Derived from Weird Problem: $\sqrt{k^2-{f'(t)}^2}f(t)-\sqrt{t^2-{f(t)}^2}f'(t)=t\sqrt{k^2-1}$

2-sphere and spherinder projection from 4D to 3D

Can the irrationality of $\sqrt3$ be proven geometrically by infinite descent, similarly to Tom Apostol's proof of the irrationality of $\sqrt2$?

Is there a good resource for constructions using double-edged straightedge?

How to think about elliptic (positive curvature) space? Is it really a sphere?

Answer with no trigonometry... Let $\triangle ABC$ be isosceles with $AB=AC$. Let $D$ such that $BD=AD$. Calculate the angles of the triangle $AED$.

Euclid's theory of magnitudes

On the products of lengths of adjacent sides in a cyclic quadrilateral

Verify this upper and lower bound for the sequence for number of intersections from adding the $n+1$th transversal to one pair of parallel lines?

Determine the value, in degrees, of x in the quadrilateral below

Find the measure of the $PQ$ segment in the regular octagon below

A clue for the geometry problem

Does exterior angle bisector theorem hold for every non-equilateral triangle?

Trending Questions

Popular # Hahtags

Popular Questions