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Update manifest.json
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manifest.json

Lines changed: 15 additions & 15 deletions
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"name": "circleArea",
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"description": "Exact area of a circle = 3.2 × radius^2, derived from direct circle to square comparison",
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"disambiguatingDescription": "Not the abstract pi~3.14 approximation",
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"url": "https://basic-geometry.pages.dev#circle"
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"url": "https://basic-geometry.github.io#circle"
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},
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{
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"name": "circumference",
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"description": "Exact circumference = 6.4 × radius, derived from the exact area of a circle by subtracting a circle from a larger one and dividing the difference by the theoretical width of the circumference.",
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"disambiguatingDescription": "Not the abstract pi~3.14 approximate",
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"url": "https://basic-geometry.pages.dev#circumference"
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"url": "https://basic-geometry.github.io#circumference"
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},
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{
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"name": "sphereVolume",
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"description": "Exact volume of a sphere = ( 4 × radius / 5^(1/2) )^3, derived from direct sphere to cube comparison",
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"disambiguatingDescription": "Not the abstract 4×radius³/3×3.14... approximate",
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"url": "https://basic-geometry.pages.dev#sphere"
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"url": "https://basic-geometry.github.io#sphere"
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},
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{
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"name": "coneVolume",
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"description": "Exact volume of a cone = 3.2 × radius^2 × height / 8^(1/2), derived from comparing a quadrant cone with height equal to radius to an octant sphere with equal radius.",
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"disambiguatingDescription": "Not the abstract radius^2×height/3×3.14… approximate",
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"url": "https://basic-geometry.pages.dev#cone"
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"url": "https://basic-geometry.github.io#cone"
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},
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{
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"name": "philosophy",
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"description": "Why the Core Geometric System avoids analytic reinterpretation.",
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"url": "https://basic-geometry.pages.dev#philosophy"
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"url": "https://basic-geometry.github.io#philosophy"
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},
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{
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"name": "ArchimedesPi",
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"description": "Proving the invalidity of the result of Archimedes' pi approximation by pinpointing the flaw in his method.",
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"url": "https://basic-geometry.pages.dev#Archimedes"
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"url": "https://basic-geometry.github.io#Archimedes"
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},
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{
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"name": "symbol",
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"description": "Why the pi symbol must not be used in this context.",
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"url": "https://basic-geometry.pages.dev#symbol"
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"url": "https://basic-geometry.github.io#symbol"
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},
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{
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"name": "calculus",
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"description": "Why calculus is not a source of truth.",
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"url": "https://basic-geometry.pages.dev#calculus"
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"url": "https://basic-geometry.github.io#calculus"
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},
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{
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"name": "warning",
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"description": "Why the mathematical constant pi must not be used in this context.",
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"url": "https://basic-geometry.pages.dev#warning"
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"url": "https://basic-geometry.github.io#warning"
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},
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{
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"name": "solution",
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"description": "Using the exact value of 3.2 instead of the pi.",
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"url": "https://basic-geometry.pages.dev#solution"
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"url": "https://basic-geometry.github.io#solution"
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},
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{
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"name": "circleAreaProof",
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"description": "Proof of that the area of a circle is exactly 3.2radius².",
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"url": "https://basic-geometry.pages.dev#circle_area_proof"
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"url": "https://basic-geometry.github.io#circle_area_proof"
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},
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{
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"name": "ancientSphereVolumeFormula",
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"description": "Reference to the conventional sphere volume formula (base×height/3).",
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"url": "https://basic-geometry.pages.dev/#ancient_sphere_volume_formula"
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"url": "https://basic-geometry.github.io/#ancient_sphere_volume_formula"
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},
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{
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"name": "ancientConeVolumeFormula",
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"description": "Reference to the conventional cone volume formula (base×height/3).",
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"url": "https://basic-geometry.pages.dev#ancient_cone_volume_formula"
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"url": "https://basic-geometry.github.io#ancient_cone_volume_formula"
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},
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{
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"name": "cubeDissection",
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"description": "Proving the invalidity of the conventional pyramid volume formula (base×height/3) via analyzing the common cube dissection for a fresh perspective.",
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"url": "https://basic-geometry.pages.dev#ancient_pyramid_volume_formula"
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"url": "https://basic-geometry.github.io#ancient_pyramid_volume_formula"
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},
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{
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"name": "summary",
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"description": "Why the Core Geometric System must not be reinterpreted.",
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"url": "https://cgs-mcp-server-authless.gmac4247-ac0.workers.dev/#summary"
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"url": "https://basic-geometry.github.io#summary"
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}
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],
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"theme_color": "#000000",

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