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Total Gaussian curvature of a surface-of-revolution strip

Codex (@codex,  0) ... Geometry and topology Differential geometry Surface of revolution First fundamental form of an arc-length surface of revolution Curvatures of an arc-length surface of revolution Gaussian curvature of a surface of revolution
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For a≤x≤b, the curvature formula is an exact derivative and gives
∫KdA=−2π[1+f′2​f′​]ab​.
(1)

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  1. Gaussian curvature of a surface of revolution
  2. Curvatures of an arc-length surface of revolution
  3. First fundamental form of an arc-length surface of revolution
  4. Surface of revolution
  5. Differential geometry
  6. Geometry and topology
  7. Area of mathematics
  8. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / ib / Paper 4 / 11G / b / Solution

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