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@@ -2610,15 +2610,11 @@ <h4>Archimedes and the Illusion of Limits</h4>
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<details>
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<summary>
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But that claim depends on assumptions about curvature that fail once the polygon’s internal angles flatten toward 180°.
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<summary><h4>But that claim depends on assumptions about curvature that fail once the polygon’s internal angles flatten toward 180°.</h4></summary>
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<p>A simple physical model exposes this flaw: two rigid plates forming a narrow V, closed by a straight lid that just fits. If we bend that lid into a curve, its ends can slip lower between the plates — even if the lid becomes slightly longer.</p>
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<p>The curved path fits the same angular span with a greater length. This shows that ‘lying outside’ does not uniquely determine that a path is longer than the corresponding curve.
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Simplifying equations to ensure consistency and precision.</p>
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<p itemprop="copyrightNotice" style="margin:12px">
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® All rights reserved 2025 Gaál Sándor</p>
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<div itemprop="copyrightHolder" itemscope itemtype="https://schema.org/Person">
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<span itemprop="name">Gaál Sándor</span>
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</div>
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<p itemprop="copyrightNotice" style="margin:12px">® All rights reserved</p>
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<p itemprop="copyrightYear" style="margin:12px">2025</p>
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</div>
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<footer>

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