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• Hyperbolische 5-Rechtecke

  111-123

  H. Zeitler

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  The main topic of this paper is the investigation of 5-pentagons whose interior angles are all right angles within the hyperbolic geometry (so-called 5-rectangles). Some knowledge of elementary hyperbolic geometry is required.
  At first the existence of such a polygon is shown by construction within the Kleinmodel. Then two formulas due to D. M. Y. Sommerville [3] are proved. This means to juggle with trigonometric formulas of hyperbolic geometry.
  In the last years a big number of papers concerning hyperbolic geometry was published. This proves that the interest in this nice discipline is growing again.