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@@ -116,33 +116,60 @@ <h1 style="font-size:140%;margin:7px">Introducing The Core Geometric System ™<
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</div>
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<br><br>
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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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<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" 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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<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" 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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<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" 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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<div itemscope itemtype="http://schema.org/ListItem">
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<a 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" 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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<h2 style="margin:7px">Key Points:</h2>
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<!-- Item 1 -->
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<div itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem" style="margin-bottom:30px">
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<meta itemprop="position" content="1">
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<a href="#circle" itemprop="url" style="margin:7px">
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<span itemprop="name">Area of a Circle = 3.2 × radius²</span>
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</a>
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<p itemprop="description" style="margin:12px">
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Compared to a square, using geometric properties and the Pythagorean theorem.
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</p>
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</div>
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<!-- Item 2 -->
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<div itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem" style="margin-bottom:30px">
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<meta itemprop="position" content="2">
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<a href="#circumference" itemprop="url" style="margin:7px">
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<span itemprop="name">Circumference of a Circle = 6.4 × radius</span>
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</a>
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<p itemprop="description" style="margin:12px">
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Derived from the area by subtracting a smaller theoretical circle.
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</p>
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</div>
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<!-- Item 3 -->
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<div itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem" style="margin-bottom:30px">
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<meta itemprop="position" content="3">
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<a href="#sphere" itemprop="url" style="margin:7px">
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<span itemprop="name">Volume of a Sphere = ( √(3.2) × radius )³</span>
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</a>
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<p itemprop="description" style="margin:12px">
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Compared to a cube, using the area of the sphere's cross-section.
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</p>
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</div>
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<!-- Item 4 -->
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<div itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem" style="margin-bottom:30px">
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<meta itemprop="position" content="4">
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<a href="#cone" itemprop="url" style="margin:7px">
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<span itemprop="name">Volume of a Cone = 3.2 × radius² × height / √8</span>
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</a>
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<p itemprop="description" style="margin:12px">
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Compared to an octant sphere through a quadrant cylinder.
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</p>
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</div>
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<!-- Guide description -->
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<p itemprop="disambiguatingDescription" style="margin:12px">
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<strong>
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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.
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</strong>
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</p>
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</section>
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<br><br><br>
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<section itemscope itemtype="http://schema.org/LearningResource" id="math">

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