| 11. | Descartes separates external properties of triangles in Euclidean geometry remain mathematically certain)
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| 12. | This is analogous to the relationship between Euclidean geometry and non-Euclidean geometry.
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| 13. | Many other axiomatic systems for Euclidean geometry have been proposed over the years.
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| 14. | Before Cubism, the three dimensions of Euclidean geometry had been sufficient for artists.
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| 15. | It was Gauss who coined the term " non-Euclidean geometry ".
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| 16. | Hilbert uses Pasch's axiom in his axiomatic treatment of Euclidean geometry.
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| 17. | Euclidean geometry where the existence of points or lines is postulated.
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| 18. | His sharp mind, which allowed him to learn Euclidean geometry at age 5.
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| 19. | He also contributed to Euclidean geometry, including the problem of Apollonius.
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| 20. | The Parallel Postulate is satisfied only for models of Euclidean geometry.
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