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A Simple Exposition of Grassmann’s Methods

Published online by Cambridge University Press:  03 November 2016

R. W. Genese
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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.

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

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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.