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index.html

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},
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"dateCreated": "2019-01-11",
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"datePublished": "2020-01-11",
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"dateModified": "2025-09-02",
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"dateModified": "2025-09-03",
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"description": "Introducing the best-established and most accurate framework to calculate area and volume.",
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"disambiguatingDescription": "Exact, empirically grounded and rigorously proven formulas over the conventional approximations.",
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"headline": "Introducing the Core Geometric System ™",
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"target": "https://basic-geometry.github.io",
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"mathExpression-input": "required cap_radius=5_height=3_Volume=?",
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"mathExpression-output": "Volume = 1.6 * radius^2 * sqrt(3.2) * height",
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"about": "Estimating the volume of a spherical cap.",
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"about": "Calculating the volume of a spherical cap as a distorted hemisphere.",
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"abstract": "One dimension of the volume of sphere formula can be modified to calculate the volume of a spherical cap as a distorted hemisphere.",
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"educationalLevel": "advanced",
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"image": "sphericalCap.jpg",
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"target": "https://basic-geometry.github.io",
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"mathExpression-input": "required cone_radius=5_height=3_Area=?",
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"mathExpression-output": "Area = 3.2 * radius * (radius + sqrt(radius^2 +height^2))",
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"about": "The bottom of a cone is a circle. The rest of its surface can be calculated as a circle slice.
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"about": "The bottom of a cone is a circle. The rest of its surface can be calculated as a circle slice.",
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"abstract": "The radius of the circle slice equals the slant height of the cone. Its angle is given by the ratio between the radius and the height of the cone. Calculate the area of the circle slice and add the bottom circle if required.",
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"educationalLevel": "advanced",
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"image": "coneMarkup.jpeg",

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