Hostname: page-component-599cfd5f84-ncv4z Total loading time: 0 Render date: 2025-01-07T08:08:15.449Z Has data issue: false hasContentIssue false
  • English
  • Français

On Von Staudt’s Geometrie der Lage

Published online by Cambridge University Press:  03 November 2016

C. A. Scott
Get access Rights & Permissions [Opens in a new window]

Extract

It is far too much the custom now to rely on the analogy of algebra to justify the introduction of imaginaries into geometry. Analogy, however, is no justification unless we first prove the exact correspondence of the fields of investigation. In analytical geometry the identification of the two fields is permissible, and is easily explained; but in pure geometry any reference to algebra, expressed or implied, is irrelevant and misleading. The elements of pure geometry have no dependence on calculation.

Type
Research Article
Information
The Mathematical Gazette , Volume 1 , Issue 19 , February 1900 , pp. 307 - 314
Copyright
Copyright © Mathematical Association 1900 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Plücker, System der analytischen Geometrie, p. 241 (1835); Theorie der algebraischen Curven, p. 200 (1839); von Staudt, Geometrie, pp. 110–118 (1847).

2 Listing, Vorstudien zur Topologie, 1847; Möbius, Grundformen der planen Linien dritter Ordnung, 1849, Selbstanzeige, 1848.