#### Hyperbolic perpendicular line

The construction of hyperbolic perpendicular lines. As usual this is done via the intersection of two circles. Rendered as .pdf
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#### Hyperbolic midpoint

Construction of a hyperbolic midpoint. This works the same as in the euclidean case. Rendered as .pdf
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#### Angle bisection

Construction of a angle bisecting line. This works the same as in the euclidean case. Rendered as .pdf
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#### Center of circle

The classical construction for finding the center point of a circle. Rendered as .pdf
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#### Theorem of Thales

The theorem of Thales does not hold in the hyperbolic plane. Rendered as .pdf
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#### Equilateral triangle

An equilateral triangle construction. Rendered as .pdf
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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. Rendered as .pdf Rendered as .pdf
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#### Incircle of a hyperbolic triangle

Construction of an incircle of an hyperbolic triangle works like in the euclidean case. Rendered as .pdf
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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. Rendered as .pdf
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#### Mirror circle

Mirroring a circle again and again along a line ... Rendered as .pdf
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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. Rendered as .pdf
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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). Rendered as .pdf
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