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Proof verification in geometry proving that a quadrilateral is a parallelogram

score 97 · Answer 1 · 2026-04-11 20:22:46

97

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Proof verification in geometry proving that a quadrilateral is a parallelogram

Published on 11 Apr 2026 - 20:22

score 751 · Answer 2 · 2026-04-14 01:27:28

751

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UNSOLVED Find an integer $\geqslant2$ that is build up out of only $1$'s and $0$'s in base $1,\;\ldots,\;10$.

Published on 14 Apr 2026 - 1:27

score 89 · Answer 3 · 2026-04-14 05:38:55

89

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Let a number $N=12124124612468124680124680212460824...$ ¿What is the digit $2018$?

Published on 14 Apr 2026 - 5:38

score 52 · Answer 4 · 2026-04-12 17:35:22

52

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Euclidean geometry, triangle area problem.

Published on 12 Apr 2026 - 17:35

score 1.8k · Answer 5 · 2026-04-16 18:39:43

1.8k

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British Maths Olympiad (BMO) 2005 Round 1 Question 1 how to make progress?

Published on 16 Apr 2026 - 18:39

score 1.8k · Answer 6 · 2026-05-10 15:00:18

1.8k

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British Maths Olympiad (BMO) 2002 Round 1 Question 3 Proof without Cauchy-Schwarz?

Published on 10 May 2026 - 15:00

score 292 · Answer 7 · 2026-04-15 04:16:08

292

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if $|az^2+bz+c|\le 1$, find the maximum of $|a|+|b|$

Published on 15 Apr 2026 - 4:16

score 231 · Answer 8 · 2026-04-16 13:46:01

Show that the following inequality is true: $(\frac{1}{a} + \frac{1}{bc}) (\frac{1}{b} + \frac{1}{ca})(\frac{1}{c} + \frac{1}{ab}) \geq 1728$

score 368 · Answer 9 · 2026-04-10 00:58:41

368

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$(a-b)^2$ divides $ab$

Published on 10 Apr 2026 - 0:58

score 190 · Answer 10 · 2026-05-05 04:17:03

190

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If $x+y+z=2$ prove that $\sum_{cyc}\frac{1}{\sqrt{x^2+y^2}}\ge2+\frac{1}{\sqrt{2}}$

Published on 05 May 2026 - 4:17

score 556 · Answer 11 · 2026-05-10 16:13:13

556

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British Maths Olympiad (BMO) 2004 Round 1 Question 3 Proof with pigeon hole principle?

Published on 10 May 2026 - 16:13

score 1.7k · Answer 12 · 2026-04-17 11:08:34

1.7k

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Showing $4x + 4b^2 x \leq 4 + (x + b^2 x)^2$

Published on 17 Apr 2026 - 11:08

score 71 · Answer 13 · 2026-04-11 13:46:02

71

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How can I approach finding quadrilateral area in a triangle with 2 segments drawn?

Published on 11 Apr 2026 - 13:46

score 605 · Answer 14 · 2026-04-11 21:38:26

605

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Arithmetic Progression of Primes of length 7

Published on 11 Apr 2026 - 21:38

score 3.6k · Answer 15 · 2026-04-14 20:28:27

3.6k

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Given a pair of integers, double one and increment the other until equality

Published on 14 Apr 2026 - 20:28

List Question

Proof verification in geometry proving that a quadrilateral is a parallelogram

UNSOLVED Find an integer $\geqslant2$ that is build up out of only $1$'s and $0$'s in base $1,\;\ldots,\;10$.

Let a number $N=12124124612468124680124680212460824...$ ¿What is the digit $2018$?

Euclidean geometry, triangle area problem.

British Maths Olympiad (BMO) 2005 Round 1 Question 1 how to make progress?

British Maths Olympiad (BMO) 2002 Round 1 Question 3 Proof without Cauchy-Schwarz?

if $|az^2+bz+c|\le 1$, find the maximum of $|a|+|b|$

Show that the following inequality is true: $(\frac{1}{a} + \frac{1}{bc}) (\frac{1}{b} + \frac{1}{ca})(\frac{1}{c} + \frac{1}{ab}) \geq 1728$

$(a-b)^2$ divides $ab$

If $x+y+z=2$ prove that $\sum_{cyc}\frac{1}{\sqrt{x^2+y^2}}\ge2+\frac{1}{\sqrt{2}}$

British Maths Olympiad (BMO) 2004 Round 1 Question 3 Proof with pigeon hole principle?

Showing $4x + 4b^2 x \leq 4 + (x + b^2 x)^2$

How can I approach finding quadrilateral area in a triangle with 2 segments drawn?

Arithmetic Progression of Primes of length 7

Given a pair of integers, double one and increment the other until equality

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