Figure 6 - Quaternions - aliquot parts. All wave form vectors
are really a composite of unseen or occulted forces acting in concert.
Graphic shows the standard Hamiltonian method (below right) of
describing vectors using Newtonian calculus and the more natural way
(on the left) using Quantum Arithmetic and ellipses as opposed to
squares which always have inherent inaccuracies. Using X-Y coordinates
can at best be only approximations of the truth. See fig. 11a.