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Does “ds=du” characterize the isotropic planes?

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References

  1. Aristotle, Eth. Eud., II, 6, 1222b

  2. Not observing this necessary restriction ruinedI. Tóth's “Corpus”, Arch. Hist. Exact Sc.,17 (1967), 249–422.

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  3. cp.H. Freudenthal, Euclides, Groningen, 1972, 13–18.

  4. Sextus Empiricus, Adversus Geometres, 26.

  5. Proclos Diadochos, In primum Euclidis Elementorum librum commentarii, ad I. 1.

  6. Sextus Empiricus, Adversus Geometres, 107.

  7. RobertHooke, Posthumous Works, p. 68.

  8. J. L. Coolidge,The Elements of non-euclidean Geometry, Oxford, p. 51, p. 52. line 10.

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This article is the text of a talk given at the Symposium on Differential Geometry in Debrecen, Hungary, on August 28 – September 3, 1975.

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Bruins, E.M. Does “ds=du” characterize the isotropic planes?. Period Math Hung 8, 91–102 (1977). https://doi.org/10.1007/BF02018052

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  • DOI: https://doi.org/10.1007/BF02018052

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