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Author: Gmac4247

index.html

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 <p style="margin:12px">This is an identity; not tautology.</p>
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@@ -2292,6 +2291,7 @@ <h3 itemprop="name" style="margin:7px">Area of a Circle</h3>
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   <summary><h4 style="margin:12px"><strong>The direct area comparison ensures exactness.</strong></h4></summary>
 <p style="margin:12px"><strong>Archimedes' area formula A = pi × r² is not a direct result of calculus. It’s reverse-engineered by multiplying the approximate circumference formula C = 2pi × r by half the radius—treating the area as the sum of infinitesimal rings. While that method is algebraically valid, it bypasses the geometric logic that defines area: the comparison to a square.</strong></p>
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