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    <title>Curvature on Engineering Tools</title>
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      <title>Derivation of the Curvature Formula κ = y″/(1&#43;y′²)^(3/2)</title>
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      <pubDate>Wed, 18 Mar 2026 00:00:00 +0000</pubDate>
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      <description>Step-by-step derivation of the curvature of a plane curve from its geometric definition, with the small-angle simplification to κ ≈ y″ used in beam theory.</description>
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