The Arithmetic of Clocks 8.

The Gaussian-School of Higher-Arithmetic (1831, updated 2022); tutorial #21 page 8.

The Arithmetic of Clocks, page 8.

So far, the numbers on the surface membrane of our bottomless number-well are just ratio-metric relative numerical magnitudes, now is the time to identify polarity upon any point of the surface of the bottomless relative numerical magnitude well. Every point on the surface of this three dimensional exponential polar manifold has the property of relative ratio-metric numerical magnitude and the property of relative rotational numerical direction. Here we see a flat two dimensional horizontal section of the manifold taken on the alpha = zero plane. I add an arbitrary rotational reference direction which will be counted as the zero relative rotation line, this is identified in purple colour to clarify its association with leftwards (anticlockwise) polar rotation only.

Click on the above sketch to proceed with the tutorial.
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