 First fundamental form of an arc-length surface of revolution

ID: first-fundamental-form-of-an-arc-length-surface-of-revolution

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

For

X (u, v) = (Y (u) cos v, Y (u) sin v, Z (u))

with

Y^{'2} + Z^{'2} = 1

d u^{2} + Y (u)^{2} d v^{2} .

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