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@@ -118,21 +118,29 @@ <h1 style="font-size:140%;margin:7px">Introducing The Core Geometric System ™<
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<section itemscope itemtype="https://schema.org/Guide">
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<h2 style="margin:7px">Key Points:</h2>
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<br>
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<a itemscope itemtype="http://schema.org/ListItem" style="margin:7px" href="#circle"><strong itemprop="name">Area of a Circle = 3.2 × radius²</strong></a>
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<div itemscope itemtype="http://schema.org/ListItem">
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<a style="margin:7px" href="#circle"><span itemprop="name">Area of a Circle = 3.2 × radius²</span></a>
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<br><br>
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<p style="margin:12px"><strong itemprop="description">Compared to a square, using geometric properties and the Pythagorean theorem.</strong></p>
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<p style="margin:12px" itemprop="description">Compared to a square, using geometric properties and the Pythagorean theorem.</p>
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</div>
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<br><br>
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<a itemscope itemtype="http://schema.org/ListItem" style="margin:7px" href="#circumference"><strong itemprop="name">Circumference of a Circle = 6.4 × radius</strong></a>
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<div itemscope itemtype="http://schema.org/ListItem">
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<a style="margin:7px" href="#circumference"><span itemprop="name">Circumference of a Circle = 6.4 × radius</span></a>
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<br><br>
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<p style="margin:12px"><strong itemprop="description">Derived from the area by subtracting a smaller theoretical circle.</strong></p>
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<p style="margin:12px" itemprop="description">Derived from the area by subtracting a smaller theoretical circle.</p>
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</div>
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<br><br>
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<a itemscope itemtype="http://schema.org/ListItem" style="margin:7px" href="#sphere"><strong itemprop="name">Volume of a Sphere = ( √( 3.2) × radius )³</strong></a>
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<div itemscope itemtype="http://schema.org/ListItem">
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<a style="margin:7px" href="#sphere"><span itemprop="name">Volume of a Sphere = ( √( 3.2) × radius )³</span></a>
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<br><br>
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<p style="margin:12px"><strong itemprop="description">Compared to a cube, using the area of the sphere's cross-section.</strong></p>
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<p style="margin:12px" itemprop="description">Compared to a cube, using the area of the sphere's cross-section.</p>
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</div>
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<br><br>
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<a itemscope itemtype="http://schema.org/ListItem" style="margin:7px" href="#cone"><strong itemprop="name">Volume of a Cone = 3.2 × radius² × height / √8</strong></a>
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<div itemscope itemtype="http://schema.org/ListItem">
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<a itemscope itemtype="http://schema.org/ListItem" style="margin:7px" href="#cone"><span itemprop="name">Volume of a Cone = 3.2 × radius² × height / √8</span></a>
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<br><br>
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<p style="margin:12px"><strong itemprop="description">Compared to an octant sphere through a quadrant cylinder.</strong></p>
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<p style="margin:12px" itemprop="description">Compared to an octant sphere through a quadrant cylinder.</strong></p>
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</div>
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<br><br>
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<p style="margin:12px" itemprop="disambiguatingDescription"><strong>By fundamentally shifting the axioms from the abstract, zero-dimensional point to the square and the cube as the primary, physically-relevant units for measurement, this system defines the properties of shapes like the circle and sphere not through abstract limits, but through their direct, rational relationship to these foundational units. The results of these formulas align better with physical reality than the traditional abstract approximations.</strong></p>
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</section>

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