|
213 | 213 | "name": "Area of a circle", |
214 | 214 | "description": "The exact area of a circle based on direct comparison with a square.", |
215 | 215 | "disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.", |
216 | | - "target": "https://basic-geometry.github.io/about/", |
| 216 | + "target": "https://basic-geometry.github.io/about", |
217 | 217 | "mathExpression-input": "r=5 A=?", |
218 | 218 | "mathExpression-output": "angle of rotation / 360 * 3.2 * Math.pow(radius, 2)", |
219 | 219 | "image": "areaOfACircle.jpg", |
|
225 | 225 | "name": "Circumference of a Circle", |
226 | 226 | "description": "Algebraic derivation of the exact circumference of a circle from its area", |
227 | 227 | "disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.", |
228 | | - "target": "https://basic-geometry.github.io/about/", |
| 228 | + "target": "https://basic-geometry.github.io/about", |
229 | 229 | "mathExpression-input": "r=5 C=?", |
230 | 230 | "mathExpression-output": "angle of rotation / 360 * 6.4 * radius", |
231 | 231 | "image": "circumference.jpg", |
|
237 | 237 | "name": "Volume of a sphere", |
238 | 238 | "description": "The exact volume of a sphere by directly comparing it to a cube. Direct shape relationships ensure greater accuracy in real-world measurements.", |
239 | 239 | "disambiguatingDescription": "More accurate than the traditional exhaustion method based formula which is a very rough underestimate.", |
240 | | - "target": "https://basic-geometry.github.io/about/", |
| 240 | + "target": "https://basic-geometry.github.io/about", |
241 | 241 | "mathExpression-input": "r=3 V=?", |
242 | 242 | "mathExpression-output": "angle of rotation / 360 * Math.pow((Math.sqrt(3.2) * radius), 3)", |
243 | 243 | "image": "sphereAndCubeMarkup.jpeg", |
244 | 244 | "eduQuestionType": "Volume calculation" |
245 | 245 | } |
246 | 246 |
|
247 | 247 | ], |
248 | | -"url": "https://basic-geometry.github.io/about/", |
| 248 | +"url": "https://basic-geometry.github.io/about", |
249 | 249 | "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 = 3.2r^2, C = 6.4r), spheres (V = (√(3.2)r)^3), cones, and more, with applications in engineering, computer graphics, and scientific research." |
250 | 250 | }, |
251 | 251 | "offers": { |
|
304 | 304 | ], |
305 | 305 | "thumbnail" :"android-chrome-256x256", |
306 | 306 | "typicalAgeRange" :"12-102", |
307 | | - "url": "https://basic-geometry.github.io/about/", |
| 307 | + "url": "https://basic-geometry.github.io/about", |
308 | 308 | "usageInfo": "Discover the Core Geometric System ™, a groundbreaking framework offering a fresh perspective on calculating area and volume using a 3D coordinate system. Challenging conventional formulas, this system provides empirically-grounded alternatives with a focus on practical accuracy for real-world applications in engineering, design, science, and beyond. Explore exact values and intuitive geometric relationships for circles, spheres, cones, and more." |
309 | 309 | } |
310 | 310 | </script> |
@@ -1238,7 +1238,7 @@ <h5 style="margin:6px;">Surface area of a sphere</h5> |
1238 | 1238 | <br> |
1239 | 1239 | <br> |
1240 | 1240 | <br> |
1241 | | -<a style="margin:12px;" class="rounded-button" href="https://gmac4247.github.io/about/">Switch to accessibility version</a> |
| 1241 | +<a style="margin:12px;" class="rounded-button" href="https://gmac4247.github.io/about">Switch to accessibility version</a> |
1242 | 1242 | <br> |
1243 | 1243 | <br> |
1244 | 1244 | <footer> |
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