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THE FOUR MOONS 167<br />
Does that prove that trade existed between these ancient cultures,<br />
or is it just proof that both cultures had common roots?<br />
Now that we know the exact dimensions of the cubit, the foot,<br />
and the finger, it is interesting to go back to the andesite pillars<br />
of the western gallery and try to find out what the dimensions<br />
there teU us. It does not make any sense to give dimensions in<br />
our metric system, because our modem units of measurement do<br />
not give the nimibers 7, 9, 11, 12, and 13, numbers that fit exactly<br />
in the layout of the temple to reflect the astronomical values we<br />
are interested in. Here are nine dimensions, all in cubits, that can<br />
simultaneously help to explain the irregularity of the spaces between<br />
pillars and prove that at the time these pillars were set<br />
there was in the sky a moon much larger and much closer than<br />
our present one. Since of the eleven pillars, the outer two are<br />
there only to frame the field of vision, lefs look at the nine possible<br />
combinations of the nine spaces between the inner pillars<br />
and each time add the pillar's own width to the distance. Thus<br />
we obtain the following measurements in cubits: 20^/4, 19, 19, 18,<br />
i8i/4, 17V4, 19V4, 17^, 19V4.<br />
We now have seven different intervals, two of them repeated<br />
twice, probably to measure something very big, like<br />
a moon so<br />
close to earth tibat it would vary in its apparent diameter because<br />
of the elliptic path it was describing in the sky. But it does not<br />
take long to discover that if an observer places himself 170 cubits<br />
from the pillars, the angles from there represented by the above<br />
intervals read, starting from the south, 7°, 6°4o', 6^40', 6°2o',<br />
6°3o', 6°, 6°5o', 6° 10', 6°5o', giving a total for the observation<br />
field of 59°. The average apparent diameter of the moon at that<br />
time must have been 6Vi°, or 11.68 per cent bigger than the diameter<br />
that we calculated from the laws of celestial mechanics<br />
for our present moon, namely, 5.82°. We can conclude that the<br />
moon of that period was 12 per cent larger than the present one.<br />
We have yet to talk about an additional problem tied in with<br />
the theory of the four moons, the age of Tiahuanaco. One way to<br />
estimate its age would be to use the climatic cycle of 21,000<br />
years that we discussed when we talked about ice ages in Chapter<br />
1. This cycle is the time period needed for the date of the<br />
equinox to arrive at the same moment when the sun is at its<br />
perigee—the point closest to earth. If we want to believe the