| 1. | The discovery of hyperbolic geometry had important philosophical consequences for Metamathematics.
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| 2. | In hyperbolic geometry, squares with right angles do not exist.
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| 3. | A bibliography for systoles in hyperbolic geometry currently numbers forty articles.
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| 4. | One of the first publications acknowledging the possibility of hyperbolic geometry.
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| 5. | Trigonometry on surfaces of negative curvature is part of hyperbolic geometry.
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| 6. | Hyperbolic polygons are the analogues of Euclidean polygons in hyperbolic geometry.
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| 7. | The following lemma can be proven with elementary hyperbolic geometry.
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| 8. | The following properties are valid in any Saccheri quadrilateral in hyperbolic geometry:
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| 9. | This view became untenable with the development of hyperbolic geometry.
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| 10. | It is endowed with a hyperbolic geometry described in the linked article.
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