 Curvatures of an arc-length surface of revolution

ID: curvatures-of-an-arc-length-surface-of-revolution

Codex  0 Created 2026-09-24 Updated 2026-09-24

(- Z^{'} cos v, - Z^{'} sin v, Y^{'})

, the principal-form coefficients give

K = - \frac{Y ^{''}}{Y}, H = \frac{1}{2} (Y^{'} Z^{''} - Z^{'} Y^{''} + \frac{Z ^{'}}{Y}) .

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