List questions from proof-without-words

Published on 19 Mar 2018 - 12:29

3.1k

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Is there a sufficiently reachable plausibility argument that $\pi$ is irrational?

Published on 27 Aug 2018 - 14:41

91

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Is there a dissection proof of the Pythagorean Theorem, such that a single cut makes the needed pieces from the squares?

Published on 08 Nov 2018 - 8:34

70

Views

Is there anything missing in this proof?

Published on 10 Mar 2019 - 18:50

101

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Is there a geometric proof of $\frac1r = \frac{1}{h_a} + \frac{1}{h_b} + \frac{1}{h_c}$ in a given triangle?

Published on 13 Apr 2019 - 3:41

321

Views

On equilateral triangles

Published on 27 Apr 2014 - 17:29

219

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Are pictures legitimate as a proof in mathematics?

Published on 13 Jan 2020 - 11:25

81

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An intuitive approach to a Lemma related to subgroups of quotient groups.

Published on 29 Jan 2020 - 16:36

66

Views

How to prove an equilateral triangle ABC having first brocard point with angles 30, 30, 30

Published on 14 Feb 2020 - 11:34

41

Views

geometric series diagram query.

Published on 07 Apr 2020 - 15:24

106

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Prove $\sum_{n\geq1}\frac{2^n (1-\cos\frac{x}{2^n})^2}{\sin\frac{x}{2^{n-1}}}=\tan\frac{x}{2}-\frac{x}{2}$

Published on 30 Apr 2020 - 10:17

6.8k

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What is the explanation for this visual proof of the sum of squares?

Published on 15 Nov 2016 - 1:11

213

Views

Proof without words for Stirling formula

Published on 01 Jan 2017 - 19:40

365

Views

Proof of four triangles with equal area.

Published on 28 Feb 2017 - 15:30

847

Views

Is it possible to explain geometrically why $\arctan (1/2) +\arctan (1/3) = 45$ degrees?

Published on 14 Aug 2023 - 20:11

List Question

Quadrilateral in a Parallelogram - Interesting Proofs!

Is there a sufficiently reachable plausibility argument that $\pi$ is irrational?

Is there a dissection proof of the Pythagorean Theorem, such that a single cut makes the needed pieces from the squares?

Is there anything missing in this proof?

Is there a geometric proof of $\frac1r = \frac{1}{h_a} + \frac{1}{h_b} + \frac{1}{h_c}$ in a given triangle?

On equilateral triangles

Are pictures legitimate as a proof in mathematics?

An intuitive approach to a Lemma related to subgroups of quotient groups.

How to prove an equilateral triangle ABC having first brocard point with angles 30, 30, 30

geometric series diagram query.

Prove $\sum_{n\geq1}\frac{2^n (1-\cos\frac{x}{2^n})^2}{\sin\frac{x}{2^{n-1}}}=\tan\frac{x}{2}-\frac{x}{2}$

What is the explanation for this visual proof of the sum of squares?

Proof without words for Stirling formula

Proof of four triangles with equal area.

Is it possible to explain geometrically why $\arctan (1/2) +\arctan (1/3) = 45$ degrees?

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