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Hyperbolic length in the Poincare disc

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Hyperbolic geometry Poincare disc model
Created 2026-09-24 Updated 2026-10-03  0 By others on same topic  0 Discussions Create my own version
For a piecewise smooth curve z(t) in the Poincare disc, its hyperbolic length is
L(z)=∫1−∣z(t)∣22∣z˙(t)∣​dt.
(1)

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