Skip to main content
SpringerLink
Log in

The geometry relevant to modern education

  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Bibliography

  1. K.Menger, ‘Self-dual fragments of the plane’, Am. Math. Monthly 56 (1949) 545–546; and Chapter 5 of the book Studies in Geometry by L. M. Blumenthal and Karl Menger, San Francisco, 1970.

    Google Scholar 

  2. Studies in Geometry, Section 5.4.

  3. Studies in Geometry, Part 4.

  4. K. Menger, Calculus. A modern Approach, Boston 1956, Chapters 1 and 2.

  5. K.Menger, You will like geometry, Museum of Science and Industry, Chicago, 1952.

    Google Scholar 

  6. Studies in Geometry, Section 5.13.

  7. For related possibilities, see Pickert, The Projective Plane.

  8. loc. cit.[1].

  9. Studies in Geometry, Section 5, pag. 193.

  10. loc. cit. [2].

  11. See the papers by F. P. Jenks, J. C. Abbott, H. F. DeBaggis, B. J. Topel, and J. Landin in Reports of a Math. Colloquium (II), Issues 1–8; and K. Menger, ‘On algebra of geometry and recent progress in noneuclidean geometry’, The Rice Pamphlets 27 (1940) 41–78.

  12. Cf. K. Menger, loc. cit.[11]. See also H. S. M. Coxeter, The Real Projective Plane.

  13. F. P. Jenks, ‘A New Set of Postulates for Bolyai-Lobachevsky Geometry’, Reports of a Math. Colloquium (II) 1 (1938) 46 and Proc. Nat. Ac. Sci. U.S.A. 24 (1938) 486–490.

  14. Studies in Geometry, Section 5.13.

  15. loc. cit.[5].

  16. H. C.Curtis, Am. Math. Monthly 60 (1953) 416.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Illinois Institute of Technology, Chicago, Ill., U.S.A.

    Karl Menger

Authors
  1. Karl Menger
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Menger, K. The geometry relevant to modern education. Educ Stud Math 4, 1–17 (1971). https://doi.org/10.1007/BF00305793

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00305793

Keywords

Search

Navigation