For every simple closed plane curve of perimeter P enclosing area A, the isoperimetric inequality 4πA ≤ P² holds with equality iff the curve is a circle. Traditional proofs: (i) Zenodorus-Steiner 4-sided symmetrisation argument — reflect,…
For every simple closed plane curve of perimeter P enclosing area A, the isoperimetric inequality 4πA ≤ P² holds with equality iff the curve is a circle. Traditional proofs: (i) Zenodorus-Steiner 4-sided symmetrisation argument — reflect,…