| 31. | In hyperbolic geometry rectangles do not exist.
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| 32. | In hyperbolic geometry ( where Wallis's Postulate is false ) similar triangles are congruent.
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| 33. | Negating the Axiom of Euclid yields hyperbolic geometry, while eliminating it outright yields absolute geometry.
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| 34. | Euclidean, elliptical and hyperbolic geometry.
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| 35. | It is one of a series of four woodcuts by Escher depicting ideas from hyperbolic geometry.
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| 36. | He finally reached a point where he believed that his results demonstrated the impossibility of hyperbolic geometry.
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| 37. | In 1913 and 1914 he bridged the gap between hyperbolic geometry and special relativity with expository work.
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| 38. | In hyperbolic geometry the sum of angles in a hyperbolic triangle must be less than 180 degrees.
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| 39. | Hyperbolic geometry is frequently referred to as " Lobachevskian geometry " or " Bolyai Lobachevskian geometry ".
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| 40. | In the latter case one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries.
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