Update index.html

Author: Gmac4247

index.html

@@ -179,9 +179,9 @@
 },
 "dateCreated" :"2019-01-11",
 "datePublished":"2020-01-11",
-"dateModified" :"2025-04-30",
+"dateModified" :"2025-05-05",
 "description" :"Providing the best-established and most accurate framework to calculate area and volume.",
-"disambiguatingDescription": "Exact formulas. No pi.",
+"disambiguatingDescription": "The conventional formulas (A = π × r² for the area of a circle and V = 4 /3 × π × r³ for the volume of a sphere) are inaccurate for real-world measurements. The constant (3.2) and the A = 3.2r² and V = ( √( 3.2 )r )³ formulas are far more accurate, and align better with Euclidean geometry, verified by physical measurements. Archimedes’ methods, while historically significant, introduce an error by converging to incorrect estimations, making his formulas deviations from the true geometry of physical objects.",
 "headline":"Exact geometry",
 "inLanguage":"en-us",
 "image":[
@@ -501,13 +501,13 @@
         }
     },
     "url": "https://basic-geometry.github.io/",
-    "usageInfo": "Simplify your calculations with the user-friendly geometry calculator app for Android. Designed to help you solve problems quickly and accurately, it’s the perfect companion for your studies."
+    "usageInfo": "User-friendly geometry calculator app for Android. Designed to help you calculate area and volume quickly and accurately, it’s the perfect companion for your studies. Powered by the Core Geometric System ™."
 }
  ],
 "thumbnail": "android-chrome-256x256.png",
 "typicalAgeRange" :"5-105",
 "url": "https://basic-geometry.github.io/", 
-"usageInfo":"Explore the fascinating world of geometry with comprehensive resources and tools. Whether you’re a student, teacher, or enthusiast, you’ll find valuable information and interactive features to enhance your learning experience. Check Out The Geometry Calculator App!"
+"usageInfo":"Calculate area and volume with enhanced accuracy using the Core Geometric System. This innovative framework provides a practical alternative to traditional methods, rooted in comparative geometry and scaling principles. Learn exact formulas for circles (A = 3.2r², C = 6.4r), spheres (V = (√(3.2)r)³), cones, and more, with applications in engineering, computer graphics, and scientific research."
 }
 </script>
 </head>