New posts in alternative-proof

Easy proof for sum of squares $\approx n^3/3$

Lesser known derivations of well-known formulas and theorems

Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem

Alternate proof for $a^2+b^2+c^2\le 9R^2$

How to deduce open mapping theorem from closed graph theorem?

Crux problem #33 with vector approach

$\operatorname{Aut}(S_4)$ is isomorphic to $S_4$

Proof that negative binomial distribution is a distribution function?

Visualization of surface area of a sphere

questions about Rudin's summation by parts

Group presentation of $A_5$ with two generators

Can $\lim_{h\to 0}\frac{b^h - 1}{h}$ be solved without circular reasoning?

Proving that $\int_0^1 \frac{\ln(x)+\ln(\sqrt x+\sqrt {1+x})}{\sqrt {1-x^2}} dx=0$

Prove a trigonometric identity: $\cos^2A+\cos^2B+\cos^2C+2\cos A\cos B\cos C=1$ when $A+B+C=\pi$

If $q^k n^2$ is an odd perfect number with special prime $q$, then $n^2 - q^k$ is not a square.

Proving a function $\frac{1}{2y}\int_{x-y}^{x+y} f(t) dt=f(x)$ is a linear polynomial

Geometry: Prove that two angles are not equal

Is it possible to utilize the convergence of the sequence $z_{n+1}=a/(1+z_n)$ to prove that the sequence $x_{n+2} = \sqrt{x_{n+1} x_n}$ is convergent?

Pólya and Szegő, Part I, Ch. 4, 174.

If the Greeks had been four dimensional, would they have been able to derive the pi squared coefficient for the hypersphere volume without calculus?