I. 3.

JuJlice^ bccaufc it is firll refolvcd into num¬ bers, efpecially equal. (JAacroh. in Soinn. Scip. 1. y.)
CHAP. Xlll.
The Ennead.
The Ennead is the firft fquare of an odd num¬ ber. Its names, thcfe :
Ocean., Horizon-., becaufe number hath nothing beyond it, but it revolves all within it. (Apon.)
Prometheus, becaufe it fufters no number to out-go it, andjuftly, being a perfecl ternary. (Anon.)
Concord, ( Nicom. Anon. ) Pera/ia: ( Anon. ) Halius, (Nicom. Anon.) becaufe it doth not per¬ mit the conferit of number to be difperfed be¬ yond it, but collefts it. ( Anon. )
’A.veimu.y becaufe of the revolution to Monad.
neither in numbers nor beings, according to the compofition of number, which is not feminally contained in the Decad. (Anon.)
Age. (Nicom.)
Power, ( Nicom. ) from the command it hath over all other Numbers. ( Anon. )
Faith, Neceffity.. (Anon.)
Atlas for as Atlas is fabled to fuftain Hea¬ ven with his (boulders, fo the Decad all the Sphears, as the Diameter of them all. (Anon.)
Unwearied, God, Phanes, Sun, Urania, Me- tnory, Mnemofyne. (Anon.)
Firft Square, becaufe made of the firfl: four numbers, i, 2,, 3, 4. ( Chalcid. in Tim.)
as the magazine and confinement of all proportions 3 (Anon.) or, KArt/»x«f> becaufe other numbers branch out of it. ( Cedren.)
becaufe it perfefis all number, •» comprehends within it felf all the nature of even and odd, moved and unmoved, good and ill. (Anon. )
(Anon.)
becaufe it is the firft odd Triangle,
( Anon. )
Vulcan, becaufe to it, as conliature and relati¬ on, there is no return. (Anon.)
Juno, becaufe the fphear of the Air hath the ninth place. (Anon.)
Sifier and Wife to Jupiter, from conjunflion tvith unity. .(Anon.)
becaufe there is no (hooting be¬ yond it. (Anon.)
Pcean, 'Nyffeis, Agyica, Ennalios, Agelia, Tri- tog egenia, Suada^ Caret is, Proferpina, Hyperion, Terpfichore the Mufe. (Nicom. Anon.)
Tihwi, becaufe nine months qom- pleat the Infant.
CHAP. XlV.
The Dead.
(a) E N, according to the Pythagoreans, is JL the greateft number, as well for that it is the Tetradys, as that it comprehends all a- rithmetical and harmonical proportions, (b) Py- thygorof faid, that ten is the nature of number : becaufe all Nations, Greeks, and Barbarians, reckon to it 3 and when they arrive at it, return to the Monad.
Names of the Decad.
World-, becaufe according to the Decad, all things are ordered in general and particular. (Anon.) The Decad comprehends all numbers, the World all forms-, ( Philop. Metaph. i, ) for the fame reafon termed alfo Sphear. (Anon.)
Heaven, (Nicom.) becaufe it is the moft per- fed term of number, as Eleaven the receptacle of all things. (Anon. ) The Decad being a perfed number, the Pythagoreans defired to ap- ^ ply to it thofe things which are contained in Hea¬ ven, where finding but p, (the Orbs, the feyen ^ Planets, and the Heaven of fixed Stars, with the! earth) they added an Antichthon, ( another earth oppofite to this) and made Ten 3 by this means! they accommodated them to the Decad. ( Pa-' chymer. in Metaphyf 3. )
Fate, (Nicom.) becaufe there is no property.
C H A P. XV. . , Divination by Numbers.
UPon the near affinity which Pythagoras (fol¬ lowing Orpheus) conceived to be betwixt the gods and numbers, he colleded a kind of Arithmonanty 3 not praGifed by himfelf only, but communicated to his Difciples, as is manifeft from (a) Jamblichus, who cites this fragment of(«) Vit. theSacredD'Scourfe,di'Qoo]/L2if(:xihoAtoY{m\: Con-^P*. cerning the gods of Pythagoras, fon of Mnefar- chus, I learned this when I was initiated at Li- beth in Thrace, Aglaophemus adminijiring the rites to me 3 Orpheus fon of Calliope, inflruQed by his mother, in the Pangaean mountain, faid.
That number is an eternal fubftance, the mojl provident principle of the Univerfe, Heaven, and Earth, and middle Nature-, likewifethe root of Divine beings, and of gods and daemons.
Hence (faith Jamblichus) it is manifefl. that Pythagoras received of Numbers the determinate e fence of the gods, from the traditions of Orpheus.
By theje Numbers he framed a wonderfuldivinati- on andjervice of thegods,of neareji affinity to num¬ bers, as may be evinced from hence, (for it is re- quifite to give an inftance for confirmation of what we fay,) whereas Abaris performed thofe kind of Sacrifices to which he was accuflomed, and praddi- fed diligently divination, after all the ways of the Barbarians,^ Viidims, principally of Cocks, (whofe entrals they conceived to be moft exaU fpr infpeUi- on) Pythagoras willing not to take him off from his ftudy of truth 3 yet to direU him Try a fafer way, ^ without blood and Jlaughter, (moreover efteeming the Cock fiacre d to the Sun ) taught him M fi^d. out all truth by the fcience of Arithmetick. Thus Jam- /q yjj, blichus. (b ). And elfewhere he faith, that Pytha- ap. ip. • goras, inftead of the art of divining by Sacrifices, taught him that kind of prediction which is by Numbers, as conceiving that to be more f acred and divine, and more agreeable to the celeftial numbers of the gods.
This hint fome have taken to impofe upon the world, under the name of Pythagoras, aii .Ono- mantick kind of Arithmetick, alfigning 'parti¬ cular numbers to the letters of the Alphabet, tothe 1 Planets,
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