XXIX. (87) And any one who was inclined to dwell upon this subject might bring forward a great many other instances, to prove that there is no animal in the enjoyment of perfect liberty, and exempt from the dominion of man; but what has been already said is sufficient by way of example. We ought, however, not to be ignorant of this also, that it is no proof because man was the last created animal that he is the lowest in rank, and charioteers and pilots are witnesses of this; (88) for the charioteers sit behind their beasts of burden, and are placed at, their backs, and yet when they have the reins in their hands, they guide them wherever they choose, and at one time they urge them on to a swift pace, and at another time they hold them back, if they are going on at a speed greater than is desirable. And pilots again, sitting in the hindmost part of the ship, that is the stern are, as one may say, the most important of all the people in the ship, inasmuch as they have the safety of the ship and of all those who are in it, in their hands. And so the Creator has made man to be as it were a charioteer and pilot over all other animals, in order that he may hold the reins and direct the course of every thing upon earth, having the superintendence of all animals and plants, as a sort of viceroy of the principal and mighty King.
XXX. (89) But after the whole world had been completed according to the perfect nature of the number six, the Father hallowed the day following, the seventh, praising it, and calling it holy. For that day is the festival, not of one city or one country, but of all the earth; a day which alone it is right to call the day of festival for all people, and the birthday of the world. (90) And I know not if any one would be able to celebrate the nature of the number seven in adequate terms, since it is superior to every form of expression. But it does not follow that because it is more admirable than anything that can be said of it, that on that account one ought to keep silence; but rather we ought to try, even if one cannot say everything which is proper, or even that which is most proper, at all events to utter such things as may be attainable by our capacities. (91) The number seven is spoken of in two ways; the one within the number ten which is measured by repeating the unit alone seven times, and which consists of seven units; the other is the number outside ten, the beginning of which is altogether the unit increasing according to a twofold or threefold, or any other proportion whatever; as are the numbers sixty-four, and seven hundred and twenty-nine; the one number of which is increased by doubling on from the unit, and the other by trebling. And it is not well to examine either species superficially, but the second has a most manifest pre-eminence. (92) For in every case the number which is combined from the unit in double or treble ratio, or any other ratio, whatsoever, is the seventh number, a cube and a square, embracing both species, both that of the incorporeal and that of the corporeal essence. That of the incorporeal essence according to the superficies which quadrangular figures present, and that of the corporeal essence according to the other figure which cubes make; (93) and the clearest proof of this is afforded by the numbers already spoken of. In the seventh number increasing immediately from the unit in a twofold ratio, namely, the number sixty-four, is a square formed by the multiplication of eight by eight, and it is also a cube by the multiplication of four and four, four times. And again, the seventh number from the unit being increased in a threefold ratio, that is to say, the number seven hundred and twenty-nine, is a square, the number seven and twenty being multiplied by itself; and it is also a cube, by nine being multiplied by itself nine times. (94) And in every case a man making his beginning from the unit, and proceeding on to the seventh number, and increasing in the same ratio till he comes to the number seven, will at all times find the number, when increased, both a cube and a square. At all events, he who begins with the number sixty-four, and combines them in a doubling ratio, will make the seventh number four thousand and ninety-six, which is both a square and a cube, having sixty-four as its square root, and sixteen as its cube root.