Vector Analysis and Quaternions

By “Vector Analysis” is meant a space analysis in which the vector is the fundamental idea; by “Quaternions” is meant a space-analysis in which the quaternion is the fundamental idea. They are in truth complementary parts of one whole; and in this chapter they will be treated as such, and developed so as to harmonize with one another and with the Cartesian Analysis1. The subject to be treated is the analysis of quantities in space, whether they are vector in nature, or quaternion in nature,...