Skip to main content
Log in

Book II of Euclid's Elements and a pre-Eudoxan theory of ratio

  • Published:
Archive for History of Exact Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • W. Burkert, Lore and Science in Ancient Pythagoreanism, tr. E. L. Minar, Jr., Harvard University Press, 1972.

  • Euclid, Opera Omnia, ed. J: L. Heiberg & H. Menge, Teubner, Leipzig, 9 vol.; esp. I-VI: Elementa, 1883–96, rev. E. S. Stamatis, 1969–77; and IX: Anaritii Commentarii, ed. M. Curtze, 1896.

  • Euclid's Elements, ed. and tr. T. L. Heath, Cambridge University Press, 3 vol., 1926; repr. Dover, New York, 1956.

  • D. H. Fowler, Ratio in Early Greek Mathematics, Bulletin of the American Mathematical Society (New Series), 1 (1979) pp. 807–846.

    Google Scholar 

  • D. H. Fowler, Equations, Neusis-constructions, and Euclid's Elements: an Anthyphairetic Interpretation, to appear.

  • D. H. Fowler, A Generalisation of the Golden Section, to appear.

  • J. Hintikka & U. Remes, The Method of Analysis, Reidel, Dordrecht, 1974.

    Google Scholar 

  • T. L. Heath, A History of Greek Mathematics, 2 vol., Clarendon Press, Oxford, 1921.

    Google Scholar 

  • W. R. Knorr, The Evolution of the Euclidean Elements, Reidel, Dordrecht, 1975.

    Google Scholar 

  • W. R. Knorr, Archimedes' Neusis-Constructions in Spiral Lines, Centaurus, 22 (1978) pp. 77–98.

    Google Scholar 

  • E. A. Neuenschwander, Die ersten vier Bücher der Elemente Euklids, Archive for History of Exact Sciences, 9 (1973) pp. 325–380.

    Google Scholar 

  • Proclus, A Commentary on the First Book of Euclid's Elements, tr. G. N. Morrow, Princeton University Press, 1970.

  • I. Thomas [= I. Bulmer-Thomas], ed. and tr., Selections Illustrating the History of Greek Mathematics, 2 vol., Loeb Classical Library series, Heinemann, London/Harvard University Press, 1939–41.

  • C. J. de Vogel, Pythagoras and Early Pythagoreanism, van Gorcum, Assen, 1966.

  • H. G. Zeuthen, Sur la constitution des livres arithmétiques des Eléments d'Euclide et leur rapport à la question d'irrationalité, Oversigt over det k. Danske Videnskabernes Selskabs Forhandlinger 1910, pp. 395–435.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by B.L. van der Waerden

To Ivor Bulmer-Thomas, for his seventy-fifth birthday, November 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fowler, D.H. Book II of Euclid's Elements and a pre-Eudoxan theory of ratio. Arch. Rational Mech. 22, 5–36 (1980). https://doi.org/10.1007/BF00327868

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00327868

Navigation