#### Hyperbolic perpendicular line

The construction of hyperbolic perpendicular lines. As usual this is done via the intersection of
two circles.

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#### Hyperbolic midpoint

Construction of a hyperbolic midpoint. This works the same as in the euclidean case.

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#### Angle bisection

Construction of a angle bisecting line. This works the same as in the euclidean case.

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#### Center of circle

The classical construction for finding the center point of a circle.

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#### Theorem of Thales

The theorem of Thales does not hold in the hyperbolic plane.

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#### Equilateral triangle

An equilateral triangle construction.

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#### Circumcircle of a hyperbolic triangle

The constructoin of a circumcircle does in principle work, but sometimes the
the lines do not intersect thus the midpoint can not be found.

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#### Incircle of a hyperbolic triangle

Construction of an incircle of an hyperbolic triangle works like in the euclidean case.

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#### Golden ratio

The usual construction of the golden ratio fails. Mathematically, there exists a golden ratio,
but it can not be costructed this way.

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#### Mirror circle

Mirroring a circle again and again along a line ...

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#### Hyperbolic regular pentagon

Two similar constructions of hyperbolic regular pentagons. Both constructions fail, as the
diagonals can not be constructed by means of the golden ratio as it is done in the euclidean case.

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#### Hyperbolic regular hexagon

The classical construction of an hyperbolic hexagon fails too. The well known formula U = 2*pi*r
for circles has to be modified for hyperbolic circles to U = 2*pi*sinh(r).

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