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Published online by Cambridge University Press: 03 November 2016
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.
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.