Update index.html

Author: Gmac4247

index.html

@@ -113,7 +113,7 @@
 </div>
 <main itemscope itemtype="https://schema.org/LearningResource https://schema.org/MathSolver" id="cgs">
 <meta itemprop="name" content="Core Geometric System ™">
-<meta itemprop="dateModified" content="2026-08-26T17:56:29+02:00">
+<meta itemprop="dateModified" content="2026-08-26T20:43:29+02:00">
 <meta itemprop="accessMode" content="mathOnVisual">
 <meta itemprop="accessMode" content="textual">
 <meta itemprop="accessMode" content="visual">
@@ -6609,15 +6609,17 @@ <h3 class="rounded-button" itemprop="name">Circumference = 6.4 × radius</h3>
     <br>
 	  <span itemprop="description"><strong>The circumference of a circle is derived algebraically from its area by subtracting a circle with a radius smaller than the radius of the actual circle by the virtual thickness of the circumference — which distinguishes it from the rest of the circle —, and dividing the difference by that thickness.</strong>
 		  <br><br>
-		  Let x represent the virtual thickness of the circumference.
+		  Take a circle with radius = r. (A = 3.2r²).
 		  <br><br>
-		  The difference between the shape of the straightened circumference and a quadrilateral is negligible.
+		  Let x represent the virtual thickness of the circumference.
+		  <br>
+		  Subtract an inner circle with radius = r - x, (A = 3.2(r - x)²) to generate the boundary region entity.
 		  <br><br>
-		  The length of the two shorter sides of the quadrilateral is x.
+		  As x approaches 0, the difference between the areas of the ring representing the circumference and a rectangle with sides equal to the length and the thickness of the circumference becomes negligible.
 		  <br><br>
-		  The length of the two longer sides is the area of the resulting ring divided by x.
+		  The length of the two shorter sides of the rectangle is x.
 		  <br><br>
-		  C=( 3.2 × radius² - 3.2 × ( radius - x )² ) / x
+		  The length of the two longer sides is the area of the rectangle divided by x. C=( 3.2 × radius² - 3.2 × ( radius - x )² ) / x
 		  <br><br>
 		  The length of the circumference approaches 6.4 × radius as its thickness approaches 0.
 	  </span>