New answers tagged plane-geometry
3
votes
Which theorems have Pythagoras' Theorem as a special case?
Dijkstra's generalization of the Pythagorean theorem
Let a triangle have sides $a,b,c>0$ with corresponding opposite angles $\alpha,\beta,\gamma$. Then
$\alpha+\beta=\gamma\equiv a^2+b^2=c^2$
$\...
2
votes
Inscribing one regular polygon in another
Here is a proof for large enough coprime $m$ and $n$.
I use some basic properties of cyclotomic polynomials, be free to ask for details if needed. In particular, I use that the sum of roots of $\Phi_k$...
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