Page 21 - Three New Tables for an Astrology of Three Dimensions
P. 21

any estimation of the relative value of azimuth: as altitude approaches
        90º, azimuth becomes meaningless.
          It is unlikely that azimuth has any importance for astrology beyond
        the possibility  of magnetic  interaction. As a weighting  factor it is of
        less  significance  than  altitude,  aspect  or  ecliptic  longitude.  It  should
        also  be  noted  that  the  earth’s  magnetic  poles  do  not  precisely  align
        with its axial poles; that variance decreases the accuracy of the table in
        relating  planetary  positions  to  that  field.  The  table  also  fails  to  take
        ecliptic latitude into account, owing to a necessity to limit the number
        of variables in one table; this can lead to a small distortion in azimuth,
        particularly in relation to the moon and Pluto.

        Azimuth and Midheaven

          The  point  on  the  ecliptic  plane  known  as  the  midheaven  is  an
                       4
        azimuthal point.  The geometrical problem in using this point to erect
        a  horoscope  beyond  the Arctic  or  Antarctic  Circles  is  mentioned  in
        Three New Tables. The azimuth table reveals further illustration of this
        difficulty: in latitudes north of 66º33’N, during certain sidereal times,
        the  ecliptic  longitude  for  azimuth  180ºN  (the  midheaven)  is  a  value
        below the horizon (greater than 90º from the nonagesimal at that time
        and place).

        Using the Table

          To find the azimuth of the sun or the approximate azimuth of a
        planet, first find the two pages of the table between which the sidereal
        time in question is located. Then find the two columns on each page
        between which the axial latitude in question is located. Finally, find the
        two  rows  on  each  page  between  which  the  ecliptic  longitude  of  the
        planet in equation is located. The north azimuth corresponding to the
        intersection  of  the  three  given  variables  can  then  be  calculated  by
        interpolating with proportional logarithms within and between pages
        (or  may  simply  be  taken  by  approximation).  Note  that  when  a
        terrestrial position is close to the ecliptic plane (see the first table in

       4  The midheaven is at azimuth 180ºN, or due south, for positions in the Northern
       Hemisphere  north  of  the  ecliptic  plane.  For  position  in  the  Northern  Hemisphere
       south of the ecliptic, the midheaven is found at azimuth 0ºN. The first table in Three
       New  Tables  indicates  whether  a  position  (i.e.,  its  zenith)  is  inclined  to  the  south  or
       north  or  the  ecliptic.  It  should  also  be  noted  that  two-dimensional  horoscopes  for
       locations south of the ecliptic frequently make the error of showing the midheaven
       (and the half of the ecliptic above the horizon) in the south.
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