Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Journals
  3. Canadian Mathematical Bulletin
  4. Volume 5 Issue 1
Journal Home
Refine listing

Refine listing

Access:
Publication date:

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×
< Back to all issues

Volume 5 - Issue 1 - January 1962

Contents

Page 2 of 2

Letter

  • Letter

  • Published online by Cambridge University Press:
    02 July 2019, pp. 91-92
    • Article
      • You have access
    • PDF
    • Export citation

Book Reviews: Comptes Rendus Critiques

  • Works of J. Willard Gibbs. Dover Publications, New York, 1961.

  • Published online by Cambridge University Press:
    01 April 2019, p. 87
    • Article
      • You have access
    • PDF
    • Export citation

Other

  • Solution

  • Published online by Cambridge University Press:
    01 April 2019, pp. 71-76
    • Article
      • You have access
    • PDF
    • Export citation

Book Reviews: Comptes Rendus Critiques

Other

  • Abstracts of Theses

  • Published online by Cambridge University Press:
    02 July 2019, pp. 105-109
    • Article
      • You have access
    • PDF
    • Export citation

Book Reviews: Comptes Rendus Critiques

Other

  • Problems for Solution

  • Published online by Cambridge University Press:
    01 April 2019, p. 70
    • Article
      • You have access
    • PDF
    • Export citation

Book Reviews: Comptes Rendus Critiques

Other

  • Summer Session in Analysis and Geometry University of British Columbia

  • Published online by Cambridge University Press:
    02 July 2019, p. 103
    • Article
      • You have access
    • PDF
    • Export citation

Notes and Problems

  • On the Fundamental Theorem of Affine Geometry

  • P. Scherk
  • Published online by Cambridge University Press:
    20 November 2018, pp. 67-69
    • Article
      • You have access
    • PDF
    • Export citation

  • The fundamental theorem of affine geometry is an easy corollary of the corresponding projective theorem 2.26 in Artin's Geometric Algebra. However, a simple direct proof based on Lipman's paper [this Bulletin, 4, 265−278] and his axioms 1 and 2 may be of some interest.

    Lipman's [desarguian] affine geometry G determined a left linear vector space L={a, b,…} over a skew field F. We wish to construct 1−1 transformations γ of G onto itself such that γ and γ-1 map straight lines onto straight lines preserving parallelism. Designate any point 0 as the origin of G. Multiplying γ with a suitable translation, we may assume γ0=0. Thus γ will then be equivalent to a 1−1 transformation Γ of L onto itself which preserves linear dependence. Since Γ-1 will have the same properties, Γ must also preserve linear independence.

Other

  • Openings in Mathematics

  • Published online by Cambridge University Press:
    02 July 2019, p. 110
    • Article
      • You have access
    • PDF
    • Export citation

Page 2 of 2