|
173 | 173 | }, |
174 | 174 | "dateCreated" :"2024-08-31", |
175 | 175 | "datePublished":"2024-08-31", |
176 | | -"dateModified" :"2025-05-27", |
| 176 | +"dateModified" :"2025-05-28", |
177 | 177 | "description" : "About the best-established and most accurate framework to calculate area and volume.", |
178 | 178 | "disambiguatingDescription": "Exact, empirically grounded and rigorously proven formulas over the conventional approximations.", |
179 | 179 | "image":[ |
|
205 | 205 | "name": "Area of a Circle", |
206 | 206 | "description": "The exact area of a circle based on direct comparison with a square.", |
207 | 207 | "disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.", |
208 | | - "keywords":"Exact Area of a Circle, Direct Comparison, Quadrants Method, Rigorously Proven", |
209 | 208 | "target": "https://basic-geometry.github.io/about/", |
210 | 209 | "mathExpression-input": "r=5 A=?", |
211 | 210 | "mathExpression-output": "angle of rotation / 360 * 3.2 * Math.pow(radius, 2)", |
|
216 | 215 | { |
217 | 216 | "@type": "SolveMathAction", |
218 | 217 | "name": "Circumference of a Circle", |
219 | | - "description": "Calculates the exact circumference of a circle using a refined approach that replaces traditional π-based approximations. This method is based on direct shape relationships, ensuring greater accuracy in real-world measurements.", |
| 218 | + "description": "Algebraic derivation of the exact circumference of a circle from its area", |
220 | 219 | "disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.", |
221 | | - "keywords":"Circumference of a Circle, Algebraic Derivation from the Area, Rigorously Proven", |
222 | 220 | "target": "https://basic-geometry.github.io/about/", |
223 | 221 | "mathExpression-input": "r=5 C=?", |
224 | 222 | "mathExpression-output": "angle of rotation / 360 * 6.4 * radius", |
|
231 | 229 | "name": "Volume of a sphere", |
232 | 230 | "description": "The exact volume of a sphere by directly comparing it to a cube. Direct shape relationships ensure greater accuracy in real-world measurements.", |
233 | 231 | "disambiguatingDescription": "More accurate than the traditional exhaustion method based formula which is a very rough underestimate.", |
234 | | - "keywords" : "Direct Comparison, Exact Volume, Rigorously proven", |
235 | | - "target": "https://basic-geometry.github.io/about/", |
| 232 | + "target": "https://basic-geometry.github.io/about/", |
236 | 233 | "mathExpression-input": "r=3 V=?", |
237 | 234 | "mathExpression-output": "angle of rotation / 360 * Math.pow((Math.sqrt(3.2) * radius), 3)", |
238 | 235 | "image": "sphereAndCubeMarkup.jpeg", |
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