Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-05-18T18:34:52.269Z Has data issue: false hasContentIssue false
  • English
  • Français

A Simple Exposition of Grassmann’s Methods

Published online by Cambridge University Press:  03 November 2016

R. W. Genese
Get access Rights & Permissions [Opens in a new window]

Extract

In 1679 Leibniz writing to Huyghens, said : “I am not satisfied with the Algebra (of coordinates), inasmuch as they give neither the shortest ways nor the most beautiful theorems of Geometry; and think that there ought to be a more direct way of dealing with the elements of a figure.” He gave a sketch of his ideas, which, however, formed no real contribution.

Type
Research Article
Information
The Mathematical Gazette , Volume 13 , Issue 189 , July 1927 , pp. 373 - 391
Copyright
Copyright © Mathematical Association 1927

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

page note 374 * Their immense utility in the development of the Theory of Determinants is shown in the text-book by Scott and Mathews, where, however, they receive the not very intelligible name of “alternate numbers”. Chapter XVII contains geometrical applications.

page note 385 * It is important to observe that the vector-system is independent of the point-system. In the latter, the complement of the vector B — V is CA—AB=— A (C+R), a median line and not a vector.