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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
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For
a
piecewise
smooth curve
z
(
t
)
in the Poincare
disc
, its hyperbolic
length
is
L
(
z
)
=
∫
1
−
∣
z
(
t
)
∣
2
2∣
z
˙
(
t
)
∣
d
t
.
(1)
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Poincare disc model
Hyperbolic geometry
Geometry and topology
Area of mathematics
Mathematics
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