Update index.html

Author: Gmac4247

index.html

@@ -496,7 +496,7 @@
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 <h1 style="font-size:140%;margin:7px">Introducing The Core Geometric System ™</h1>
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-<br>
+<h5 style="margin:12px;">The ratios are in the shapes.</h5>
 <div class="imgbox">
     <img class="center-fit" src="geometry.jpeg"  alt="Geometry">
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@@ -510,15 +510,33 @@ <h2 style="font-size:100%">By fundamentally shifting the axioms from the abstrac
 <h3 style="margin:7px;">Key Points</h3>
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-<nav>
-<ol>	
-<li><a style="margin:7px;" href="#circle">Area of a Circle = 3.2 × ( square value of the radius )</a></li>
-<li><a style="margin:7px;" href="#circumference">Circumference of a Circle = 6.4 × radius</a></li>
-<li><a style="margin:7px;" href="#sphere">Volume of a Sphere = cubic value of ( square root ( 3.2 ) × radius )</a></li>
-<li><a style="margin:7px;" href="#cone">Volume of a Cone = 3.2 × ( square value of the radius ) × height, divided by √8</a></li>
-</ol>
-</nav>
+<h4 style="margin:7px;">Area of a Circle</h4>
+<br>
+<p style="margin:12px;">Compared to a square, using geometric properties and the Pythagorean theorem.
+<br>
+Formula:  A = 3.2 × ( square value of the radius ). 
+</p>
+<br>
+<h4 style="margin:7px;">Circumference of a Circle</h4>
+<br>
+<p style="margin:12px;">Derived from the area by subtracting a smaller theoretical circle.
+<br>
+Formula:  C = 6.4 × radius. 
+</p>
+<br>
+<h4 style="margin:7px;">Volume of a Sphere</h4>
+<br>
+<p style="margin:12px;">Compared to a cube, using the area of the sphere's cross-section.
+<br>
+Formula:  V = " cubic value of ( square root ( 3.2 ) × radius ) ". 
+</p>
+<br>
+<h4 style="margin:7px;">Volume of a Cone</h4>
+<br>
+<p style="margin:12px;">Compared to an octant sphere and a quarter cylinder.
 <br>
+Formula:  V = 3.2 × ( square value of the radius ) × height, divided by √8 .
+</p>
 <br>
 <h4 style="margin:7px;">Comparative Geometry</h4>
 <p style="margin:12px;">Using geometric relationships to derive areas and volumes.
@@ -2742,7 +2760,6 @@ <h3 style="margin:7px;">Area of a circle segment</h3>
 <section id="circumference">
 <h3 style="margin:7px;">The circumference of a circle can be derived from its area algebraically.</h3>
 <br>
-<br>
 <div class="imgbox">
     <img class="center-fit" src="circumference.jpg" alt="figure-Circumference=6.4r">
     </div>