Question

Proof-without-words for $\bar a\times (\bar b\times\bar c)=\bar b (\bar a\cdot\bar c)-\bar c (\bar a\cdot \bar b)$ or some visual-biased explanation?

score 998 · Answer 1 · 2012-09-19 23:33:34

Proof-without-words for $\bar a\times (\bar b\times\bar c)=\bar b (\bar a\cdot\bar c)-\bar c (\bar a\cdot \bar b)$ or some visual-biased explanation?

score 22.5k · Answer 2 · 2012-11-21 04:10:48

22.5k

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Geometric interpretation for sum of fourth powers

Published on 21 Nov 2012 - 4:10

score 504 · Answer 3 · 2013-02-01 18:40:03

504

Views

If $Ax=b$, for $b\ne 0$, has more than one solution, then $Ax=0$ does as well. T or F. Prove this.

Published on 01 Feb 2013 - 18:40

score 351 · Answer 4 · 2020-07-31 23:52:29

351

Views

Regular hexagon divided into triangles

Published on 31 Jul 2020 - 23:52

score 311 · Answer 5 · 2020-08-13 16:48:35

311

Views

Geometric proof that the product of the $x$-intercepts equals the $y$-intercept for a monic quadratic

Published on 13 Aug 2020 - 16:48

score 241 · Answer 6 · 2026-02-24 03:48:15

241

Views

Is there a graphical proof that $9n+1$ is triangular if $n$ is?

Published on 24 Feb 2026 - 3:48

score 339 · Answer 7 · 2020-12-07 04:55:51

339

Views

Can someone explain this “visual proof” of $(1 + 2 + 3 +…+ n)^2 = 1^3 + 2^3 + 3^3 +…+ n^3$?

Published on 07 Dec 2020 - 4:55

score 202 · Answer 8 · 2020-12-26 18:36:08

202

Views

How to prove a tiling of a hexagon must form a 3D cubic stack?

Published on 26 Dec 2020 - 18:36

score 76 · Answer 9 · 2021-01-22 15:20:55

76

Views

Prove that $\forall n \in N $ , $ \sum_{i=1}^n i = \frac{n(n+1)}{2}$, counting in two ways the number of shaded squares in the diagram

Published on 22 Jan 2021 - 15:20

score 52 · Answer 10 · 2021-01-29 06:09:47

52

Views

Solution of linear equation obtained by partially differentiating a second degree general equation in two variables

Published on 29 Jan 2021 - 6:09

score 184 · Answer 11 · 2021-05-25 16:20:35

184

Views

Geometric proof in Concrete Mathematics

Published on 25 May 2021 - 16:20

score 1.8k · Answer 12 · 2021-07-26 14:40:10

1.8k

Views

Intuition for reflections/symmetry, shifts, parity, and periodicity of sine and cosine functions at allied angles 0, $π/2$, $π$, $3π/2$, and $2π$

Published on 26 Jul 2021 - 14:40

score 757 · Answer 13 · 2021-09-04 00:31:12

757

Views

Can all mathematical proof be represented visually?

Published on 04 Sep 2021 - 0:31

score 103 · Answer 14 · 2021-09-06 10:29:02

103

Views

What is a cubic triangular number and what is a pictorial justification why a number is classified as such?

Published on 06 Sep 2021 - 10:29

score 86 · Answer 15 · 2022-01-24 18:30:31

86

Views

How to prove that $(\sum_{i=1}^n a_i)(\sum_{i=1}^n b_i)= \sum_{i,j} a_ib_j$?

Published on 24 Jan 2022 - 18:30

List Question

Proof-without-words for $\bar a\times (\bar b\times\bar c)=\bar b (\bar a\cdot\bar c)-\bar c (\bar a\cdot \bar b)$ or some visual-biased explanation?

Geometric interpretation for sum of fourth powers

If $Ax=b$, for $b\ne 0$, has more than one solution, then $Ax=0$ does as well. T or F. Prove this.

Regular hexagon divided into triangles

Geometric proof that the product of the $x$-intercepts equals the $y$-intercept for a monic quadratic

Is there a graphical proof that $9n+1$ is triangular if $n$ is?

Can someone explain this “visual proof” of $(1 + 2 + 3 +…+ n)^2 = 1^3 + 2^3 + 3^3 +…+ n^3$?

How to prove a tiling of a hexagon must form a 3D cubic stack?

Prove that $\forall n \in N $ , $ \sum_{i=1}^n i = \frac{n(n+1)}{2}$, counting in two ways the number of shaded squares in the diagram

Solution of linear equation obtained by partially differentiating a second degree general equation in two variables

Geometric proof in Concrete Mathematics

Intuition for reflections/symmetry, shifts, parity, and periodicity of sine and cosine functions at allied angles 0, $π/2$, $π$, $3π/2$, and $2π$

Can all mathematical proof be represented visually?

What is a cubic triangular number and what is a pictorial justification why a number is classified as such?

How to prove that $(\sum_{i=1}^n a_i)(\sum_{i=1}^n b_i)= \sum_{i,j} a_ib_j$?

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