5k views

### Two paradoxes: $\pi = 2$ and $\sqrt 2 = 2$ [duplicate]

Possible Duplicate: Is value of $\pi = 4$? Can anyone explain how to properly resolve two paradoxes in this YouTube video by James Tanton?
1k views

### Problem with the Pythagorean theorem [duplicate]

The Pythagorean theorem has already been proved and it is a basic fact of math. It always works, and there are proofs of it. But I have found a problem. Say you want to get from point ...
230 views

### Is $\pi = 4$ really? [duplicate]

Can anyone explain what's wrong with this?
159 views

### Constructing a circle from a square [duplicate]

I have seen a [picture like this] several times: featuring a "troll proof" that $\pi=4$. Obviously the construction does not yield a circle, starting from a square, but how to rigorously and ...
215 views

66 views

### Length of diagonal compared to the limit of lengths of stair-shaped curves converging to it [duplicate]

I see this post and I am stunned. I think this is fallacious but I can't figure where is the fallacy? If you know the fallacy. Please post a answer.
40 views

### What is wrong with this reasoning when calculating circle perimeter? [duplicate]

Looking at the following image, which was posted on the internet: Could someone tell me what is wrong? It seems true for the first 4 small images. But, when it comes to infinitesimal length, ...
32 views

### Math for Little Kids: Pseudo-Proof [duplicate]

A popular maths comic strip for little kid is shown in below: Why, this proof is wrong? And, what happen when you comparing the areas of these two figure (truncate square, and circle)? Are the area ...
21 views

### How come the diagonal of a right triangle is not the same as the total distance of the adjacent and opposite leg? [duplicate]

Disclaimer: This might seem like a very dumb question. But I rather ask it and learn than to never ask at all and always wonder. Also, to me it is confusing, you guys are probably much more advance in ...
13k views

### What's your favorite proof accessible to a general audience? [closed]

What math statement with proof do you find most beautiful and elegant, where such is accessible to a general audience, meaning you could state, prove, and explain it to a general audience in ...