Venus rules for 8 years, which divided into 120 gives 15. Mars rules for 15 years, which divided into 120 gives 8. Venus rules the signs Taurus and Libra, whereas Mars rules the opposite signs Scorpio and Aries. This may be allowed as a basis for what follows. The values and dominions are those traditionally received through Ptolemy. The periodic values of all the bodies of the ancient system are twice the square of seven. The square of seven is 49, and twice this is the value of the periods, namely 98 years. Students of numerology may pursue the subject to its legitimate conclusion. I may now proceed to establish this scheme by a series of numerical tests which have been communicated to me from India, and which I have remodelled for the purpose of this demonstration. The harmony of the allotment of the numbers to the planets and signs is shown in the following scale, which, as will be seen, bear the numbers already ascribed to them by Godfridus and others. [Illustration: Figure 10.] This arrangement is traditional among astrologers, and in very old works on the subject of planetary dominions we find the following suggestive glyph, which indicates that the mystery of the Pyramid may be solved by reference to the elements of the solar system. [Illustration: Figure 11.] It is stated that the perpendicular of the Pyramid is the radius of a circle whose area exactly equals the area of the square base. If this be the fact, then we may conclude that the ancients successfully negotiated the problem of “squaring the circle.” The cyclic order of the planets according to the ancients was thus: Saturn, Jupiter, Mars, Sun, Venus, Mercury, Moon. This order is not haphazard, as one might suppose who only knew the order of the days of the week bearing the Planets’ names, or the apparent order of the planetary orbits as seen from the Earth. There is nevertheless a very good reason for this order, and it consists in the orbital periods of the several bodies, that is, the times in which they appear to traverse the zodiac. Thus Saturn’s apparent period is about 30 years, Jupiter 12, Mars 2 years save forty-three days, the Sun one year, Venus about 7½ months, Mercury about 3 months, and the Moon one month. Applying the numerical test to this order, and retaining as before the same numbers for each of the planets, we have— [Illustration: Figure 12.] If we begin the cycle with the Sun and follow with Venus, Mercury, etc., we shall have a resolution in terms of the Moon, thus— [Illustration: Figure 13.] Again, if we take the positive Sun number and the negative Moon number, we have Sun, Moon, Mars, Mercury, 1295, equals 17 or 8, Jupiter, Venus, Saturn 368, equals 17 or 8, and 8 plus 8 equals 16, which is of unit value 7. But the Kabalism of the numbers attaching to signs of the zodiac clearly shows that the planets Mars and Venus are natural opposites, and not Mercury and Mars, as erroneously stated. The following scheme will show that this is so.