Inegalitatea izoperimetrica

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Beniamin Bogosel
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Inegalitatea izoperimetrica

Post by Beniamin Bogosel »

Demonstrati ca daca \( C \) este o curba plana simpla inchisa cu lungimea \( l \) si \( A \) este aria regiunii marginita de \( C \) atunci are loc inegalitatea \( l^2-4\pi A\geq 0 \) cu egalitate daca si numai daca \( C \) este cerc.
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