5. Thus the art according to the Chaldæans has been shown to be baseless. But if any one should fancy that by enquiries, the geniture[31] of the enquirer is to be learned, we may know that not in this way either can it be arrived at with certainty. For if such great care in the practice of the art is necessary, and yet as we have shown they do not arrive at accuracy, how can an unskilled person take accurately the time of birth, so that the Chaldæan on learning it may set up the horoscope truthfully?[32] But neither by inspection of the horizon will the star ascending appear the same everywhere, but sometimes the cadent sign will be considered the ascendant and sometimes the succeedent, according as the coming in view of the places is higher or lower. So that in this respect the prediction will not appear accurate, many people being born all over the world at the same hour, while every observer will see the stars differently.

But vain also is the customary taking of the time by water-jars.[33] For the pierced jar will not give the same flow when full as when nearly empty, while according to p. 63. the theory of these people the Pole itself is borne along in one impulse with equal speed. But if they answer to this that they do not take the time accurately but as it chances in common use,[34] they will be refuted merely by the starry influences themselves.[35] For those who have been born at the same time have not lived the same life; but some for example have reigned as kings while others have grown old in chains. None at any rate of the many throughout the inhabited world at the same time as Alexander of Macedon were like unto him, and none to Plato the philosopher. So that if the Chaldæan observes carefully the time in common use, he will not be able to say[36] if he who is born at that time will be fortunate. For many at any rate born at that time, will be unfortunate, so that the likeness between the genitures is vain.

Having therefore refuted in so many different ways the vain speculation of the Chaldæans, we shall not omit this, that their prognostications lead to impossibility. For if he who is born under the point of Sagittarius’ arrow must be slain, as the astrologers[37] say, how was it that so many p. 64. barbarians who fought against the Greeks at Marathon or Salamis were killed at the same time? For there was not at any rate the same horoscope for all. And again, if he who is born under the urn of Aquarius will be shipwrecked, how was it that some of the Greeks returning from Troy were sunk together in the furrows of the Eubœan sea? For it is incredible that all these differing much from one another in age should all have been born under Aquarius’ urn. For it cannot be said often that because of one who was destined to perish by sea, all those in the ship should be destroyed along with him. For why should the destiny of this one prevail over that of all, and yet that not all should be saved because of one who was destined to die on land?

6. But since also they make a theory about the influence of the zodiacal signs to which they say the things brought forth are likened, we shall not omit this. For example, they say that he who is born under Leo will be courageous,[38] and he who is born under Virgo straight-haired, pale-complexioned, p. 65. childless and bashful. But these things and those like them deserve laughter rather than serious consideration.[39] For according to them an Ethiopian can be born under Virgo, and if so they allow he will be white, straight-haired and the rest. But I imagine that the ancients gave the names of the lower animals to the stars rather because of arbitrariness[40] than from natural likeness of shape. For what likeness to a bear have the seven stars which stand separate from one another? Or to the head of a dragon those five of which Aratus says:—

Two hold the temples, two the eyes, and one beneath

Marks the chin point of the monster dread.—

(Aratus, Phainomena, vv. 56, 57.)

7. That these things are not worthy of so much labour is thus proved to the right-thinkers aforesaid, and to those who give no heed to the inflated talk of the Chaldæans, who with assurance of indemnity make kings to disappear p. 66. and incite private persons to dare great deeds.[41] But if he who has given way to evil fails, he who has been deceived does not become a teacher to all whose minds the Chaldæans wish to lead endlessly astray by their failures. For they constrain the minds of their pupils when they say that the same configuration of the stars cannot occur otherwise than by the return of the Great Year in 7777 years.[42] How then can human observation agree[43] in so many ages upon one geniture? And this not once but many times, since the destruction of the cosmos as some say will interrupt the observation, or its gradual transformation will cause to disappear entirely the continuity of historical tradition.[44]] The Chaldaic art must be refuted by more arguments, although we have been recalling it to memory on account of other matters and not for its own sake. But since we have before said that we will omit none of the opinions current among the Gentiles,[45] by reason of the many-voiced craft of the heresies, let us see what they say also who have p. 67. dared to speculate about magnitudes. Who, recognizing the variety of the work of most of them, when another has been utterly deceived in a different manner and has been yet held in high esteem, have dared to say something yet more grandiose than he, so that they may be yet more glorified by those who have already glorified their petty frauds. These men postulate circles and triangular and square measures doubly and triply.[46] There is much theory about this, but it is not necessary for what lies before us.

8. I reckon it enough therefore to declare the marvels described by them. Wherefore I shall employ their epitomes,[47] as they call them, and then turn to other things. They say this:[48] he who fashioned the universe, gave rule to the revolution of the Same and Like, for that alone he left undivided; but the inner motion he divided 6 times and made 7 unequal circles divided by intervals in ratios of 2 and 3, 3 of each, and bade the circles revolve in directions opposite to one another—3 of them to revolve at equal pace, and 4 with a velocity unlike that of the 3, but in p. 68. due proportion.[49] And he says that rule was given to the orbit of the 7, not only because it embraces the orbit of the Other, i. e., the Wanderers; but because it has so much rule, i. e., so much power, that it carries along with it the Wanderers to the opposite positions, bearing them from West to East and from East to West by its own strength. And he says that the same orbit was allowed to be one and undivided, first because the orbits of all the fixed stars are equal in time and not divided into greater and lesser times.[50] And next because they all have the same appearance,[51] which is that of the outermost orbit, while the Wanderers are divided into more and different kinds of movements and into unequal distances from the Earth. And he says that the Other orbit has been cut in 6 places into 7 circles according to ratio.[52] For as many cuts as there are of each, so many segments are there plus a monad. For example if one cut be made,[53] there are 2 segments; if 2 cuts, 3 segments; and so, if a thing be cut 6 times there p. 69. will be 7 segments. And he says that the intervals between them are arranged alternately in ratios of 2 and 3, 3 of each, which he has proved with regard to the constitution of the soul also, as to the 7 numbers. For 3 among them, viz., 2, 4, 8, are doubles from the monad onwards and 3 of them, viz., 3, 9, 27 [triples][54].... But the diameter of the Earth is 80,008 stadia and its perimeter 250,543.[55] And the distance from the Earth’s surface to the circle of the Moon, Aristarchus of Samos writes as ...[56] stadia but Apollonius as 5,000,000 and Archimedes as 5,544,130. And Archimedes says that from the Moon’s circle to that of the Sun is 50,262,065 stadia; from this to the circle of Aphrodite 20,272,065; and from this to the circle of Hermes 50,817,165; and from the same to the circle of p. 70. the Fiery One[57] 40,541,108; and from this to the circle of Zeus 20,275,065; but from this to the circle of Kronos, 40,372,065; and from this to the Zodiac and the last periphery 20,082,005 stadia.