Page 6 - Three New Tables for an Astrology of Three Dimensions
P. 6
The tables in this book were produced by a computer using
formulae of spherical trigonometry to transform one set of spherical
coordinates into another. Axial coordinates are important only as input
to the function of deriving the relationship between the ecliptic and
the horizon, as represented by a horoscope.
To summarize the three systems:
It can now be seen why tables of houses abruptly end at 66º33’
north or south. They depend on establishing the location on the
ecliptic of a line called the “midheaven.” That line is the axial meridian
running from nearest pole through the terrestrial position in the
ecliptic. As long as that position is within the lines of axial latitude
passing through the ecliptic pole (i.e., between the Arctic and Antarctic
Circles), the midheaven will intersect the ecliptic above the horizon
(i.e., on the same side of the earth). Outside those circles, however, at
certain sidereal times the midheaven will fall on the opposite side of
the earth, below the horizon, making a two-dimensional horoscope
impossible.
Top view of ecliptic: any position within the circle between the
axial and ecliptic poles (shaded) will have a midheaven below the
horizon (more than 90º from the nonagesimal)
