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sky at sunset, it was called vesper, and as it arose before the sun, it was called the false
light, the star of the morning, or Lucifer, which means the light-bearer. Because of this
relation to the sun, the planet was also referred to as Venus, Astarte, Aphrodite, Isis, and
The Mother of the Gods. It is possible that: at some seasons of the year in certain
latitudes the fact that Venus was a crescent could be detected without the aid of a
telescope. This would account for the crescent which is often seen in connection with the
goddesses of antiquity, the stories of which do not agree with the phases of the moon.
The accurate knowledge which Pythagoras possessed concerning astronomy he
undoubtedly secured in the Egyptian temples, for their priests understood the true
relationship of the heavenly bodies many thousands of years before that knowledge was
revealed to the uninitiated world. The fact that the knowledge he acquired in the temples
enabled him to make assertions requiring two thousand years to check proves why Plato
and Aristotle so highly esteemed the profundity of the ancient Mysteries. In the midst of
comparative scientific ignorance, and without the aid of any modern instruments, the
priest-philosophers had discovered the true fundamentals of universal dynamics.
An interesting application of the Pythagorean doctrine of geometric solids as expounded
by Plato is found in The Canon. "Nearly all the old philosophers," says its anonymous
author, "devised an harmonic theory with respect to the universe, and the practice
continued till the old mode of philosophizing died out. Kepler (1596), in order to
demonstrate the Platonic doctrine, that the universe was formed of the five regular solids,
proposed the following rule. 'The earth is a circle, the measurer of all. Round it describe a
dodecahedron; the circle inclosing this will be Mars. Round Mars describe a tetrahedron;
the sphere inclosing this will be Jupiter. Describe a cube round Jupiter; the sphere
containing this will be Saturn. Now inscribe in the earth an icosahedron; the circle
inscribed in it will be Venus. Inscribe an octahedron in Venus; the circle inscribed in it
will be Mercury' (Mysterium Cosmographicum, 1596). This rule cannot be taken
seriously as a real statement of the proportions of the cosmos, fox it bears no real
resemblance to the ratios published by Copernicus in the beginning of the sixteenth
century. Yet Kepler was very proud of his formula, and said he valued it more than the
Electorate of Saxony. It was also approved by those two eminent authorities, Tycho and
Galileo, who evidently understood it. Kepler himself never gives the least hint of how his
precious rule is to be interpreted." Platonic astronomy was not concerned with the
material constitution or arrangement of the heavenly bodies, but considered the stars and
planers primarily as focal points of Divine intelligence. Physical astronomy was regarded
as the science of "shadows," philosophical astronomy the science of "realities."
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THE TETRACTYS.
Theon of Smyrna declares that the ten dots, or tetractys of Pythagoras, was a symbol of the greatest
importance, for to the discerning mind it revealed the mystery of universal nature. The Pythagoreans bound