By Joseph V. Collins
Excerpt from An ordinary Exposition of Grassmann's Ausdehnungslehre, or conception of Extension
The sum qf any variety of vectors is located by means of becoming a member of the start aspect of the second one vector to the tip aspect of the 1st, the start element of the 3rd to the top aspect of the second one. etc; the vector from the start aspect of the 1st vector to the tip element of the final is the sum required.
The sum and distinction of 2 vectors are the diagonals of the parallelogram whose adjoining aspects are the given vectors.
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An elementary exposition of Grassmann's Ausdehnungslehre, or Theory of extension by Joseph V. Collins