Part IX.

PTTHJGORAS. 581
’
J/fr, Nature^ Rhea, Jove's mother^ 'fountain of diflrihution:, Vhyrgia^ Lydia^ Di/idymene^ Ce¬ res^ Eleujinia, ('Nicom.)
hiana^ (Nicom.) b9caufe the Moon takes many Settings from all the fixed Stars, and becaufe (he is forked, and called Half-moon. ( Anon.)
Love, T>iUinnd, Aeria, Afleria, Difamus, Station, Venus, Dione, AVicheia, Cythereia, Igno¬ rance, ignobility, Ealfit^, Vermijiion, Alterity, (intention. Diffidence, Pat,, Death, ( Nicom. ) Impulfe. ( Anon. )
Opinion, becaufc it is true and falCe. {Anon. Alex. Aphrod. Met. 1. Vhilop. tbid. )
Motion, Generation, Mutation, Dibijion, A* non. ( Meurjius reads J'/.zxe/w, Dijudication ) Longitude, ( Anon. ) or rather, firfi Longitude, (Simplic. ) Augmentation, Compofition, Comtnu- munion. ( Anon. )
Misfortune, Sujientation, becaufc it firfb fuf- fered reparation, {Anon. Martian.) Difcord. {?lut. delfid. a' Oftrid. )
Impofition, { Hefch. )
Marriage, Juno', Juno, being both Wife and Sifter to Jupiter. {Mart. Capel. Eulog. in Somn. Scip. )
Soul, from motion hither and thither. ( Rhi- lop. Metaph. i.)
Science, for all demonftration, and all Credit of Science, and all Syllogifm Collebfs from fome things' granted, the thing in queftion, and eafily demonftrateth another-, the comprehend / lion of which things is Science. ( Rlut. de Flac.
3-)
Maia. (Nicom. apud Phot.)
CHAP. vn.
TJ?e Triad.
(4)ito9B,Thc-( i ally odd, and the firft perfeft num¬ ber, and middle, and proportion. It caufeth the power of the Monad to proceed to ad: and extenfion^ it is the firft and proper Coa- (4) fanA. vie. cervation of Unities, {b) For which Reafon Py- ?8. ihagorof faid, Apollo gave Oracles from a Tri¬ pod ; and he advifed to offer L-ibation Three times.
The Names of the Triad are thefe ;
Firft Latitude, not fimply Latitude. ( Simp, de Anim. i.)
Saturnia, Latona, CornucopidC, Ophion, The¬ tis, Harmonia, Hecate, Erana, Char it i a, Poly¬ hymnia, Pluto, ArUus, Helice. Not defeending to the Ocean, Damatrame, Diofeoria, Metis, Tridume, Triton, Prejident of the Sea , Tri- togenia, Achelous, ’Na.Uis, Agyiopeza, (perhaps as before, Thetis) Curctis, Cratais, Symbenia, Mariadge, Gorgonia, Phorcia, Trifa- . tnus, Lydius. {VPiQom.)
Marriage, Friendjhip, Peace, Concord, {Ni- eom.) becaufe it colleQs and unites, not fimilars, but contraries. {.Anon.)
Juftice, (Nicom.)
Prudence, Wifdom-, becaufe men order the prefent, forefee the future, and learn Experience by the paft. ( Anon. )
Piety, { Anon. ) Temperance, ( Anatol. ) All Virtues depend upon tins numkr, and proceed from it.
It is the Alind-, it is caufe of Wifdom and Un- derftanding. It is Knowledge which is moft pro¬ per to number.
It is the power and compofition of all Mufick, and much more of Geometry : Ic hath all power in Aftronony, and the nature and knowledge of Celeftials, containing and impelling it to the produftion of fubftance.
{c) The Cube of this number Pythagoras (c) i. 20. med to have the power of the Lunar Circle, in as^ ^ much as the Movngoeth round her Orb in 27 days, which the Number I'ernio, in Greek t&iAi, the Triad gives in its Cube.
; 1. .
CHAP. vili.
The Tetrad.
{a) E Tetrad was much honoured by pntofpath.
X the Pythagoreans, and (/») efteemed the in Hefiodhti. moft perfect number, the {c) primary and pri- (l>)LucMn. ■pro mogenious, which^ they called the Root of all things, and the Fountain of N-ture. (c)irenaiti. Ubi
(d) The Tetrads are all Inrellectual, and have i.cap. i. an emergent Order, and ( for that Reafon ) the («^) S'mplk. Empyreal Pi stfeflure they go round about 4-
the World , as the Empyreum paffeth through all.
Even God himfelf Pythagoras expreffed by the Tetrad.
{e) How God is a Tetrad, you will clearly nieroch in find in the Sacred Difeourfe aferibed to Pytha- aur.carm. * goras, wherein God is the number of numbers.
For if all Beings fubfift by his eternal Counfel, , it is manifeft, that numoer in every fpecies of Beings depends upon their Gaufes p the firft number is there, from thence derived hither :
The determinate ftop of number is the Decad, for he who would reckon further, muft return to 1, 2, 3* and number a fecond Decad , in like manner a third, to make up 30, and fo on, till having numbred the tenth Decad, he comes to a lOo. Again, he reckons from a ic6. in the fame manner, and fo may proceed to in¬ finite, by revolution of the Decad. Now the Tetrad is the power of the Decad ^ foi', befors we arrive at the perfeQion of the Decad, we ‘ find an united perfedfion in the Tetrad, the Decad being made up by addition of i, 2, 3, 4.
Moreover , the Tetrad is an Arithmetical mean betwixt i and 7, equally exceeding, and exceeded in number. It wants 3 of 7, and ex¬ ceeds I by 3. Monad, as being the Mother of numbers , contains all their powers within it felf. The Hebdomad , as being motherlefs, and a Virgin , pofTeifeth the fecond place , in dignity, for it is not made up of any number within the Decad, as 4 is of twice two, 6 of twice 3, 8 of twice 4, 9 of thrice 3, 10 of twice 7. Neither doth it make up any num¬ ber within the Decad, as 2 makes 4, 3 makes 6, 7 makes 10. But the Tetrad lying betwixt the unbegotten Monad , and the motherlefs Hebdomad , comprehends all powers , both of the produftive and produced numbers ^ for this of all numbers under lO, is made of a cer¬ tain number, and makes a certain number the Duad doubled makes a Tetrad, the Tetrad doubled makes 8.
Be-
5S:2
P T T H M G 0 R A S.
1 1
-’''-■Bdides, the firft Iblid figureMs found in aTe- ■trad, for a point is .correfpondent to Monad, a line to Duad, fbecaufc drawn from one point (W'anotherjca Superficies toTriad, (becaufe it is “tlfe moft limple of all reft 11 ine figures), but a •fblid properly agrees with the Tetrad.- For the firli Pyramis is in a Tetrad, the Bafe is triangular, lb that at the bottom is 3, at the top I.
Furthermore, the judicative power in things are Four, Mind,- Science, Opinion, and Senfe^ for all Beings are dijudicated either by Mind, or CD F//e.plac. Science, or Opinion, or Senfe-;- E (f) for which puil. hb.i.cap. Pythagoroi’ affirmed, the Soul of Man to
confift of a Tetrad, d
Finally, the Tetrad connefts all Beings, of E- lements, Numbers, Seafons of the Year, Cox- vous Society ^ neither can we name any thing, which depends noton the Tetraftys, as itsRoot and Principle : For it is, as wefaid, die .maker and caufeofaU things ; intelligible God, Author of Celeftial and Senljble Good. thde things w\as delivered to- .the Pythagoreans by Pythagof'iu himlelf Hitherto Hierocles.
For this Realbn the Word 'Tetra&ys was ufed by Pyihdgorkf\ and his Difciples, as a great Oath, who likei^ife, out of refpeft to their Mafter, forbearing his Name, did fwear by the Perfon , that communicated the, TetraClys to them,
'Eternal A'ature's Fountain 1 atteft^ .
Who the Tetraftys to our Soul expreji.
(fj^lnprocr. (|' ) But Plutarch interprets this Tetraflys^ ail. fee. Tiinx- (which he faith was alfo called World )
to be 36, which confifts of the firft four odd numbers, thus:
TheNames of the Tetrad are thefe ^
Another Goddefs^ Multideity^ Pantheos, Foun¬ tain of natural EffcSls. (Nicom.)
Key-keeper of Nature^ becaufe the univerfal Conftitution cannot be without it to thefe Sci¬ ences it conferreth Conffitucion and Settlement., and reconcileth them; yea, it is Nature it fell and T ruth. (Kicom.)
Nature dj JEol ns. (Nicom.) from its various property. {Anon.)
Hercules^ bnpetuojity^ ntofi Strongs AlafcUline.^ Ineffeminate., Mercury., Vulcan., Bacchus., Sori- tas., Alaiades, Erinnius, Socus, Diofeorus., Baf- farius. Two-mother d. of Feminine Fo?'m. of Vi¬ rile Performance^ Bacchation. (Nicom. J
Harmony. (Nicom.) becaufe ft hatha fefqui- tertia. (Anon.)
FJrania the Mufe. (Nicom.) World. (Pint.)
Body., as a Point is i, a Line 2, a Superfi¬ cies 3.
Soul., becaufe it confifts of Mind, Science, O- pinion and Senfe. {Plut.Plac. Phil. i. 3.)
Erf Profundity., as it is a body. {Simplic* de Anitn. i.)
fujiice. The Property of Juftice is compen- fation and Equality. This Number is the firft evenly even j and whatfoever is the firft in any
kind, moff that thing. This, they faid^' fvas the Tetrad, becaufe being quadrate, it is divide\l^ into Equals^ and is it felf equal. ( Alex. Aphfdd.- Metaph. '
CHAP. IX.
The Pentad.
eeswe.
(a ) H E Pentad is the firft complexion (a) iTheon.
i kinds of number, even and odd, pxo Soiyrn. c. 44} and three : Its names thefe L . . ' ' ^
'AvhkU, Reconciliation. (Nicom.) becaufe tlie fifth Element, JEther., is free from the Diftur- bances of the other fonr. (Anon.)
Alteration., Light, becaufe it changed tha^ which was feparated threefold, into the Identiry of its fphere, moving circularly, and ingenerating- /
light. (Anon.) ,
Juftice, (Nicom.) becaufe it divides 10 -miicf !
two equal parts. (Johan. Port, in He/.)' f , i
The leaft and top of livelihood. (Nicom.) ft Nemefis. (Nicom.) becaufe it diftributefcom. veniently Celeftial, Divine, and Natural Element^:- (Anon.)
Bubaftia. (Nicom.) becaufe worfhipp’d at baftus 'm .Xgypt. (Anon.) ’ '
Venus, Gamelia, Androgynia, Cytherea, Zoneia,
(Nicom.) Marriage. (Anon.) becaufe it connefts a mafeuline and feminine number. ( Anon. Plut. de ’£1 delph.) confifting of 2. the firft even, and 3. the .firft odd (Alex. Aphrod. in Aletaph. Proz tqfp. in Hefiod. ) , ;
Pratfident of Circles. (Nicom.) "
Semi-goddefs, (Nicom.) not only as being^ the il
half of 10. (which is divine, but for that it is ji
placed in the middle. (Anon.) "
Tower of Jupiter.
Tidymcea, or Twin. (Nicom..) becaufe it di¬ vides 10 into two. (Anon.) , . / %
Finn Axis. (Nicom.) ' ’’ '
Immortal, Pallat, implying the fifth Effence, ;
(Anon.) . , ,
K*pj'iG77f} Cordial. (Nicom.) from fimilitude with the heart. (Anon.) ,
Providence, becaufe it makes unequals equal, ' ^ v
(Anon.) ' ‘ * * ,
T^'^cr, Sound, the fifth being the firft dia- ' fteme. (Plut.de An. procr.^ Tim.) ,1
Nature, becaufe multiply’d by it felf, jt returns ^
into it felf. For as Nature receiving Wheat in feed, and introducing many forms by altering and changing it, at laft returns it Wheat, at the end of ^
the whole mutation reftoring the beginning • fb, whilft other numbers multiply’d in themfelves, are increafed, and end in other numbers, only > and 6 multiply’d by themfelves, reprefent, and retain themfelves. (Plut.de 'VI delph.)
This number reprefents- all fuperiour and infe- riour beings-, for it is either thefupreme God, or the Mind born of God, wherein are contained the Species of all things, or the Soul of the World, which is the Fountain of all Souls, or Celeftials, ;
down to usj or it is Terreftial Nature, and fo the Pentad is repleat with all things. (Alacrob. inSomn.
Scip. 1.6.
CHAP.
P TT H A G 0 R A S.
P a*RT IX.
CHAP. X.
The Hexad.
TH E Pythagoreans held the number Six to be perfetl, refpefting (as C/m. Alexandrinus • conceives) the creation of the World according to the Prophet. The names of the Hexad, are thefc •,
form of form. Articulation of the Vniverfe^ Alaker of the Soul ^ Harmony^ (Nicom.J becaufe it hath the power to ingenerate a vital habit ; Whence it is called Hexad^ dni thj and
Harmony , becaufe all Souls are harmonick ,
( Anon. J
’OuKo(/.i\£ia.y perfeil ion of parts^ (Nicom.) or (as Anon.) 'Oxo/^iA£/«. The Pythagoreans, called it thus, imitating Orpheut^ either as. being the only Dumber under ten, which is whole and equal in its parts-, or becaufe the whole Univevfe is di¬ vided into parts by it. (Anon.)
’ Venue^ (Nicom.) becaufe it procreates harmo¬ ny: (p to 12. is a diapafon concord^ 6, to 9. hdniolos-,,6, to 8. epitrites^ that is a diatefla- ron concoM : Whence it is named Venm who was the Mother of Harmony. (Mart. cap. 7.)
ivyia^ (Nicom.) r«5f/.MA/c4, (Nic.) Mar¬ riage^ (Clem. Strom, y.) becaufe of the mixtion of the firfi: even and hrll odd. (Pint, de An. procr. Sec. Tim.): For as Marriage procreates by a male and female ^ fo this number is genera- ted of 3. Which is odd and called male, and of ' „ ' 2. which is even and called female^ for twice
3, make 6, (Clem. Alexand. Strom. 6.) Itprc- duceth Children like the Parents ^ (Theon. Smyr. Mathem. 45.)
Xvyirnfy (Nicom.) or Concili¬
ation^ becaufe it conciliates the male and fe¬ male : (Anon.
Health-^ (Niconi. Anon.) a triple tri¬ angle which being alternately conjoyned within
it felf conftituteth a figure of five lines j
they ufed it as a S;ymbol to thofe of their own feO:, and called it (Lucian, prolapf. in fal. admilT.)
’AkwA, Anvile \ (Nicom.) qu. dKaixctrovy un¬ wearied j becaufe the principal triangles of the •mundane Elements have (hare in it, being each of them Six, if meafured by three perpendicu¬ lars. (Anon.)
’£x«eT»f4^477f, being compounded of and as it were Ce^nretcrav, the tiriad, which is called Hecate, (Anon. Theol.)
Trioditis ^ from the nature of that Goddefs, or becaufe the Hexad firft affumes the three . motions of intervals, being divided into two parts, each of which is on each fide. (Anon.)
the diftribution of all time, of things A.'A d above the earth, and under the earth, which is done by the Hexad in the Zodiack,. or becaufe Time is of the nature of tke Triad, conlifting of three parts, and the Hexad confifts of two Triads. (Anon.)
Verffo.^ Triform (Nicom.)
Amphitrite-y (Nicom.) becaufe it hath a Triad on each fide. (Anon.)
Neighbour to fujiice, (Nicom.) as being near- eft to 5. (which is named juftice. (Anon.)
3^3
ThaliUy the Mufc; (Nicom.) becaufe of the harmony of the reft. (Anon.)
VanacAdy (Nicom.) in refpeef to health men¬ tioned already • or ci, Panarceidy omni-luflici- ence, endued with parts fufficient for totality, (Anon.)
Msfl-si/Qt/V, Aliddle-righty being in the mid ft be¬ twixt 2, and 10, aequidiftant from both. (Clem. Alexandr. Strom. 6.)
Worldy becaufe the World, as the Hexad, is often fecn to conlift of contraries by harmony. (Anon!)
CHAP. XIV.
The Heptad.
(a)' Heptad vvas fo called, qu. o-iTridi
i w'orthy of veneration ^ for (b) apud Phot. '
Pythagoras held this number to be moft proper Macrob; to Religion, (c) He alfo held, that it is per- iediy (d) thence it was, (as the Pythagoreans conceived) that creatures born in the feventh (c) Alex. month live. Aphnd.
The names of the Heptad, are thefe. 2*
PortunCyOccafion-y (Nicom.) becaufe it occurrs cafually and opportunely to every thing. (Anon.) re4pr. Venr. Wliatfoever is belt among!]: fenfible things, by lib. 4. cic. 9. which the feafons of the year and their periods, are orderly compieac, participates of the Heb¬ domad, (Philo, de die fept.) the Moon having 7 days , meafures all time. (Johan. Philop. in Metaphyf. 7.) •
’Af/MTaj, Motherlefs y Virginy (Hieroc. in auri car. Nicom;) APinervOy as being a Virgin, un¬ married, not born of a Mother '(odd number,) nor of a Father, (even number ^ ) but out of. the Crown or Top of the Father of all. Monad. (A- non. Ghalcid. in Tim. Theon. Smyrn. c. 47.
Alarsj Nicom. Anon. ’A^peacr/?, (Nicom.)
Ageleidy (Nicom.) an epithet of Minerva (Helych.) ^
(Nicom.)
^vKaxmsy Cupody, (Nicon?.) becaufe the Stars which guard tne llniverfe are feven. (Anon.) *
’OSfty.OTidT^y Tritogenta, tha.vkco7rtfy ’AActAx.f^4V4/ci,
Yla.V'nvyjal , , rioAi/apiiTil j ’OyA«pc4Ae/« 5
Stock of AmalpheUy AEgiSy OjiriSy Dreaniy Voice y Sound , Clio the Mule , Judgment , Adrefiia.
(Anon.)
T4A4(rf bp©-> leading to the end ; (Anon.) becaufe by it all are led to the end. (Philo, de Mund. opif.)
CHAP. XII.
The Ogdoad.
The Ogdoad, they faid was the firft Cube, and the only number evenly even under ten. (Anon.)
The Names of it.
P anarmonidy (Nicom.) becaufe of its excellent convenience. (Anon.)
CadimeayAlothery RheUy 0HAt-'7re/©-, CibeleyDin- dymeney Lovey Friend/hi py Council y Pru-
denccy OrciOy Themis yLaWy Euterpe the
Mufe, ’ hff^d.Ktt(ty (Anon.) J^eptune.
(Pint, de Hid. &: O fir id.
JuJticfy
384
PYTHAGORAS.