giordano bruno - de triplici minimo et mensura

7/25/2019 Giordano Bruno - De triplici minimo et mensura

1/270

JORDANI BRUNI

NOLANI

DE

TRIPLICI

MINIMO

ET

MENSURA

AD

TRIUM...

Giordano

Bruno


2/270

Ex

Bibliollicca

majori

Coll.

Rom.

Socict.

Jcsu

7


3/270


4/270


5/270

Jordani

^runi

Nolani

DE

TRIPLICr

MI-

NIMO

ET

MENSVRA

AD

TRIVM

SPECVLATI-

uarum

fcientiarum

&:

multarum

acti-

uarum

arcium

principia,

LIBRI

v:

illHfiriJi.

5?

reHerendjjLprmcipem

H^URicv m

/

V

L

I

V

M

,

BrmfHicenJiHm

^

LundibHrgenJlHrrL^

Ducemy

HalbcrJlatenJiH?^

EptfcopH^ru,

Capita

cuiiisq;

libri,proxime

pofl:

^racfarioncm

fiint

cx-*

pofita

:

Schcmatum

itcm

(Scdchnitionum

praccipua-

rum

1nDX

alphabcticus

infincaciciitus.

^.^


6/270


7/270

ILLVSTRISS.

ET

REVERENDISS.

PRINCIPI

HENRICO

IVLIO,

BRVNSVICENSI

VM

ET

LVN-BVIU

genjium Dttci,

Halberfiatenjtum

Epifiofo

yfOi'

tronofitmmaobfiruantiacolend^y

lOANNES

WecHELVS

S.

Ngratitvdinis

crimen

quam

foedum

fit,agnouit

etiam

ethnica

vctuftas ,

illuftriflime

ac

rcue-

rendiflimc

Princeps.

Quamobrem

&

loRDANVS BRVNvs,cumfeaR.-

C.tua

liberalitcr

&

honorificehabitum

confidcraret

,

non

committendum

fibi

putauitquin

aliq

uod

fu^e

erga

R.

C.T.

gratitudinis

documentum

propalam

in

omniumliominum

oculisproponerct.

Inter

cetera

igitur

indullria

fus

monu-

menta,quorum

aliaiam

alfeda

erant,a-

lia

tantum

animo conccpta,

hos

De

tri-

plici

Minimo

&

Menfura

libros

illuftri

celfitudine

tua

maximedignosforeiu-


8/270

^

tPISTOLADEDICATORIA.

'

dicauit.

Opus

aggrcflus,

vtquam

accu-

ratiflime

abfoluerec,

nonfcliematafo-

lum

ipfe

fua

raanufculpfit

,ied

etiam

o-

perarumfe

in

eodem

corre6torem

prae-

buit.

Tandem

cum

vldmum

dumtaxat

rupcreiretoperisfplium,ca{urepcntino

a

nobis

auulfus

extremam

ei

,

vt

ceteris,

rnanum

imponere

non

potuit.

Per

lite-

ras

igitur rogaiiit vt

quod

fibi per fortu-

nam

non

liceret,

nos

pro

fe

fuo

nomine

pr^ftaremus.

Quod

officium

ne

abfen-

ti

denecrare

voluiire

videremur

,

librum

abillo

R.

C.T.defl;inatum,operaq;

no-

llra

excultum,dicamus,ofFcrimus,com-

inendamus

;

liumiliter

precantcs

vt

6c

audoris

gratitudinem

,

&

nollra

ftudia

benigne

clementerq;

accipias

,

litcrasqi

ac

literaru

propagatores

quo

cocpifti

fa-

uore

jpfea ui pergas.

Quod

vt

diu

felici-

tert];

pollis., a

Deo opt.

max.

bonorum

omnium

fonte

,'

precamur

ex animo.

''Francofurdi

Idib.

Febr. mdxci.


9/270

LIBRORVM

_

C

A

P

1.

DE

MINIMI

EXSI-

ST

EN

T

I A

Cap.

Pac.

h

Prxludiacirca

intrntionc,

cfficientcscaufas,

mcdia&

moduni

proccdcndi

i

2,

Minimum

cllc

tum

nu-

mcrorum,tum

magnitu-

dinum^tum

omnium

vtli-

bct

clcmcntatoru

fubftan-

tiam

g

B,

Mortcm

iirituv

ad corporis

iubltantiam

non

pcrtincrcj

multoq;

minâdanima

n

4,

Qmniaquodammodocir-

cuirc,6ccirculum

imitari

13

5,

Rcpctitur

conditio

huius

contcmplationis

ad

prn-

xim

^

6,

Adcosqui

continuum

irT

infinitum

diuilibilc

acci-

piunt

^

7,

Pcrrtringituridiîin

prbpo-

litum

pluribus

argumcn-

Dubium

quo

Pcripatetici

contralcipiosdubitantîn-

lolutumtamcabcisdc

31

9\

Iîscrimcn

minimiadfcn-

fum

a

minimo

iimplicitcr

ISTORVM

I

T

A.

fcu

naturac

37

icDillinguitnrminimumin

gcncre

a

minimoablblutc

39

11,

Inomni

gcncrc

graduato

minimfi

clfc

opotrcrc

42

12,

Minimi

in

plano propria

liiura

Circulus

;

in

Iblido-

Sphicra

44

13,

Minimum

& Tcrminus,

nonfunt

incodcm

^cncrc

quanta

^

J4,

Minimum

in

mngnis

6c

maximis

e(ic

pcrlpicuu

49

II.

CONTEMPLATIO

K E

S

E X

M

I

N

I

M

O.

1,

E>:

lucc vni'

vcritatis,mi t>

' tiplicis

vcritatislumcn

cx^

lurgitfficutabvnoabfurdo

conicquunturplurima

54

2,

Circuium

vcrum,non

eiFc

fcnlibilcm

?,

Scn(itiu^cxtrneq:

potcn-

tio.-

cit

pnmo

circulum

ap>

prclicndcrc

57

4,

Vcruni

circulum

finitum.

noncllcin

natura

pollibi-

bilcm

4^1

^S

Duas

figuras

lincasvc

in

a

3

\


10/270

latcria

omnino

acqualcs

oftcndcre,

autbiscandcm

rcpctcrc,impoflIbilccft

66

6y

Excurfiophyficaad

animae

iÂturam

contcniplandam

71

y,

rlitoctrculum

dkit

poly-

goniam

,

totum

anaulum.

copoiitum

cx rccbo&cur-

uo

11

S Polygoniam

non

crcfccre

minlmo,ncq?

bum gcplanum

tangat

in

puncto^nonintclligit

vul'

gus

86

92^

Cur

ftantc

c-otadu

in

pun^

to,

circulus

maior

citiu^

mouctur

fiipcrcodcmpla-

noquammmor

8S

ty^

Qbliqua

cadaisiil

planu7

non tangit

in

punfto

89

^4,

Quomodo

cx tailu

in

pu-~

ctoconlianctur rcda

cir-

cuio

acqualis,

&

intioitoru

punôrii

iucceiliua

tranli-

tiointemporcfinito

91

ZS,

Ex

virtute

confiictudinis

crcdcndi

falfis

,

fcnfiis

ct-

iamipfepcrtuvbatur

94

INDEX

CAPITVM.

I

IL

IK

VENTIO

MI^

N

1

M

I.

i,

Doftrinam

vcramcxpau-

cisficclariflimis

omniaco-'

cludcrc

97

zÊxminimocreCritgcinmi

nimum extcnuatur

omnis

magnitudo

98

AngulumetiaEuclidiplus-'

quam

in


11/270

1

N D

E

X

C

Iji

Quo

ordinc

&

quibus

par-

tium

nominibus

circulus

diuidatuF

128

XIII.

DE

PRINCIPIIS

MENSVRAE

AC

FX-

.guxat.

ti

Progrcflio

a

monadc

ad

pau

ca,indc

ad

plurmia,

vsq^

ad

innumcragcimmeium

130

t

Dcimplicationcomniu,gc

cxplicationc

inomnia

tria

figurarum

Fabricaatrii

Apoirinis

137

4>l;abncaatriiPalladis

130

5i

Fabricaatrii

Vcncris

142

9

Omncm

tiguram

cxplici

tam

vcl

impiiatam

in

his-

cc r

cpcrtam

J>

ncHrmloncs

144

1>

Axiomat^

artis

pcrfe

,

&

tcrminorum

cum

Cgnifi-

cationc

manifcfta

148

Thcorcmataaxiomate

vel

tcrmini

dcfinitionc

mani-

fcftanda

tOf

Thcorcmatu

oftenfio

153

y>

DE

MENSVR

A,

brcmiiimam

candemq;7e^

^ta

mexpcnaf

i

^qtialttatis

:

Datae

rc^f.-p

adato

pundo

vcl

îucuq^

acqualc

accipio

16

r

*

^^teranttA

modt

;

A

aiori

quod

iupcrcJl

ab-

A P I

T

V M.

fcindo

4,

BiJHniior,

Aciesi

Longi*

tudincm

fine

latitudincvi-

fucomprchendo

163

5,

Sch/fma,

Libratio

:

Longu

bifeco

,

dc

medium

in

ca

punftuminucnio

165

6,

Diftributor:

Datamlinei

certa

rationc

multifi.-cQ

7,

DetraBor

:

partcm

impc-

ratamaufcro

169

-Appojitioy

A

datopundo

fupcr

datam

rcftam

paral-

leiam

duco

,

vel

vt libet

pa-

raucias

appiico

pcr

circu

lum

9>

ettex

afiendenr,

Pcrpea-

dicuLircm

fupcr

dato

pun*

fto

damus

17J

SECT

10

IL

DE

AN.

GVko.

U

ADguIidiftinaio

175

2,

IJoJceles:

Angulum

gc trifl^

gulum

ifofcclem

facio

177

3>

i^>g^/gr:Angulumrcaum

in

quocumq;

?^grfg/y(?r;

Super

datQ

in^

tra

Imex

cxtrcmiratcs

pu-

ôanguiurcdtumdo

17%

6^

jlcitaôr:

Angulum

xdkA

in

contadtu

circali

cxcita-

bo^Sdiaca

coatingcnte

18^9


12/270

I

N

B

E

X

C

{^tmcKi .

Aiiiiiiiii

niiniiiiii

'

^

'

n

A

P

I

T

V

M.-

icnpLum

'

v5

8>c ni iviniiini (u *lm ^n i^^n

.V

IllalAlilllllll

1.VJ

y>

j

*v

/t^fj

V-'*

i li

V/

v/ii

wi

11

1

Li

i*t

Sf z7f/^/y

A n

vTii

1

1mi

T

n (Tii

Ir>

?

m 1

1

1

1

n \i

rln.. tV in innnitiT

li '^l.liL.ltii

V.IV/)

w

iii

llllllllLL(

aequalcmdo

iSi

iiipLi caciciii

rcLLa

linca

>

a-

9,

J)îfrw#^?r(>r:Ans:ulum

bi-

3-

^

rio

196-

10, SejTien ; Rnfis tnanp^nli fr-

0

gmcntavt

candc

habcarkt

1-

'

-s

u,

r /Arc/r. /vniûium

nonpiii-

vilcrinilfm \'irlrr>

l9,z

AlVvuLyll^lil

1

ivlV.

\J ^

^

J

mtionrniinm rciiciui

tria-i^

guli

latcrn,cfhcio

197

ii

jit>erti

0:

An^îiYi

oiiantita-

tr \w 1

1 1

d irn

1 8

6

iIt

Generatio

:

Triangulum

orthoiionum

in

fimilia

bi

&

intcr

(t

multipHco

19S

iZyNatiuitfis:

Triagulo cuicii-

quc

linca

acc6modo,ipsuqi-

nvrnS/^rtiom iifn*

irrr^

w>5t*

/lwL/WlliWllclillî

ivVW

l^yOf

iSy

Motus :

Trinnirulu

arcaa:-

12* Clotnblpxti^*

Anornlnni

du-

A

^

V>

V

9

9^

^

h^- mt'

J

4 X i

i

^

Ci

A L

i

X 1

* Vi. L

L

pIicc,(implifico,

Carcer:

Mmimum

trinn-

ciuali variantc dcformot ofc

^

ccrta

rationc

mniuo

au-

miluarcaScancrulodo

190

3,

LAtitta-y Triangulum

Imi-

CCl

111 lit 1

11

1 1

1

LU

1li

LLl

V/

ly.^

gcoq;

199

14,

PrAci/io

:

A punifloin

vno'

laterc

trianguU

da

o

,linca:*

trianoulum

bifccr

:m

du-

4,

j4uctiOj

Trianmili

confor-

mitcraugcdi viaapcno

192

5,

D/m?/(?7Triangulum

cu-

iuscumqj

gcncris

vcl

fupcr

terrae

diarnctro dcfigno

193

6y

Applicatio

j

Ex

tribus datis

]no3

quarum quglibct

dujc

funt

maioresvnacompofi-

'

tse

7,

Terw/wf^fiTriangulum

a:-

'

quilatcrum

circulo

iniciT-

bo,&:

circumfcribo

194

%,

Societasy

Triangulo

infcri-

pto

parallcium aptocircQ-

F I

co

199

15,

Status

: Triangulum

qu^-

>

*

libct

adorthogoniu

rcdu-

co

201

i6,Clnuis

trasmutationu

201

17,

Expan(br

18,

Vcxillum Solis

203

204^

19,

Audor, Duplator,

Vnitor,

cxvulgatis

Euclideis

205

20,

Scala

'

2Q^

21,

Fundnmcntum

207

22,

Dc

occulta

fcriptura

,mi

nimo 6c

mcnfura

cxplica*':

bili

N I S.


13/270

lORDANI

BRV.

NI

NOLANI,

DE

MI-

'

NIMI

EXISTENTIA

L

I

B E

R.

C A

P

V T

I.

>

,

Prarliidia

circa

intencionem,

cfficicntcs

caufas,

media,

&

modum

proccdendL

Tmens

naturA

fubietiis

injita

rebtis

Momenti^

graduandajiiis

dfpromity

CJT

aptis

Ordinibns

confians^

numeris

dijcrimi^

natalte:

SiCrationis

optisjic

viuida

vis

aciei

HHmani

fenfm^parteSy

qmbm

applicet

illis,

nJAtenfurasqHibnsexpendatprAconcipit

ip/ts

fn

foribHSyqtiartim

palans

a

fimbus

ingens

Turba

fophiftarnm

cdcos

nthilomintis

orba

Longitis

abdtixit^quam

per

compendta

poJfiwtL,^

^tit

lentbtu

notis

meliora

capejfere

dttia^

Se^

vltro

lucis

peramatnos

vertere

adorttss

Fhde

Ji^bitqfitdquidnatura

colortbtisat^^

P^octbtis

ajfabre

depingit

^

intonat

alma.


14/270

OtuqPiiflamm^mortaUm

corde

perenncs

SHCcendis^êilmqHemcum

confnrgerc

tant0

LHmineiHjjifittantoqHecalefcereabigne\

Qnanto

ego

fiderenm

pHlfls

hinc

inde

tenetris^

Etfegmedomtto

tardantis

fonderemolis^

êruadamtmmenfHm

fnblatis

jenfibtu

orbem.

%a%HmencHnBavidensffacienslHX

cnnEla

videre^

\

SHftollensanimos^raptensfHperdtherafenfHs:

Qni

mihi

lethargnm

excHttens

vigtlcm

ejfe

dedifli^

QHemvtfHsgenerat^qHivifuadjHrgis.îlU

SerHattisnobis

viuis^viHentia

fernas

Omniaypermollidttriffimaconficisi^H

j

Oftendts

qtitdqHidT

dlnsfUnddt,

^thera,

Abyffns

Comprendnnt.

FulgHs

te

cacHm

dixertt

ergo

LHceôcHliscjtie

carensftne

menteq^

dtxertt

amens.

Non

loctis

vUhs

erit,non

fors

,

non

tempHS^^

atas

3

o

DtmotHmaftationemea^cjiHit

mearguatJcjHi

Snggefti

hifce

ocnlis

non

vlla

margtne

totnm

ConcltifHm.^verosfplendenttafidera

mnndos^

NoHi

Tellnrisfaciem

nihtlominiu

effe

'

Ftilgentem^vereftn^Hm,

^

venerabilefidm.

O

cjHoties

tna

(

dtue

)mtht

fnppofta

cadenti

Tlumafuity

cjuoties

CHrarnm

pondereprejfum.

Ne

me

prdctpttem

dederim

tua

{maxtme)

virtM

Contintiit.

cdtjpecie

(iellantis

amiUm

Nempe

aderas,tetripellens

infanafuroris

49

NubtlaJtfcHtiens

phantajmata

turbtda

panfis

^lamm

pennis^cjUA

mille

coloribtu

orbem

TrancjHillant.

Fnde

Tellus

ornata

virenti

Occurrit

dorfo

ad

folem

radtantibus

vndi^,

^

IUiHS


15/270

De

MiNiM.

ExisT.

LrB^

3

lUitis

atcjue

tui

obielians

illi

ora tibicjHCy

Se

qmbm

uduerttttotam.partes^ue

peromncs.

Quare ego

fHrttmm

ttmtdecjue

-profejftu

amores

Inneniar^

cjhos

concelebrat

T

ditiS',

Mare^

CAlumy

Et

naturaparenseffertfHperomma?

jQmntH

Vre

fatigatum

petim

\mea vita

)

precabor^

Amplius

vrejHa neu

in

meparce

pharetr^y

^

num

me

faciant

tua mtlleque

vnlnera

vhIhhs.

^JSlempeitame

in Inmen

cernam

connertier

vnum^

Vnti6

eroq^^ octiltu

totnm,

circnm

omnia

cernens,

Simpltce^,

obtutH

prdifens^lapfumJ^tquefHtHrHm.

Afpiciamj^fimHlfupera^infera^^

omnta

ctrcum.

jQund

fupercft.

V

num

nuncte

obfecro

peHoris

imo

Efftifis

precibiu

de

centro

:

Aduerttto

mentem^

^y4fpice

quodTellHs

inter

meltora

recurua

Jidole

teneVy magnis

cjuod

calt

comparat

afhris^

A.


16/270

IdRD.

Brviî

Nol*

SHffîcityAffini^

f

^î

connubia

pmfens

ConceUbratyfrcris

DhcU

altt

adfians

hymenîs.

.

QHem

(rogo

)

ne

Mufis

auerfiim

fHbtrahenofiria,

fnterea

dtHA

dum

pafcit

Inmina

Njimph(t

A^fe^H^vtncli5(^tHt6(bUndijfime)perfiat.

fndHpedttHSy

5*

alteheroos

conctpitaEttis^

CompletîllHfirisprHdentermHntafceptri'y

Parta

meo

ingenio

minime

negleHa

reltncjHat

,

JSIectamqna

tn

abfirHfi

contemnat

donaMinernit

At

velHttfindio

interdnm

lemorcferarHm^

(

Terga

premens

jpHmantis

ecjni)

tella

ama

Infiratf

Hafiam^

illarHmgefiit

macnlare

crHors\

^/Eripedem

adnnttim

fitmnlt^

'^^^^^

peritnm^

Votornm

domini

celercsg^

intendere

curfns

j

SeH

volet

adcircHm.feHfortis

lanceaforti

OccHrrat^validisîHHetcontendcre

nernii^

CAtera

degenerehocy

[adeo

cjH


17/270

D

H

M I

N

I

M. E X

I

S T.

L

I

B.

fN

Bdomuen

orbem,at^

manent

per

fecU

celebres

;

SuntqtMrHm

wgentivtcumulohacdttateadolente

Injignisgraditnr^quantum

fatis

ejfe

putatur

QuamUbet

annofo

paria

^maiora

tenenti

Sceptra\tamentantam

deberi

atcjue

ejje

putarim^

Huicmentem\

vt

celfi

vtrtuti

adfcribere

metanu^

Atcf^

modum

quemqua

non

dignum

iudicet.

Immo

lio

IUt

vt

in

immenfum

fe

fe

ejferat^

tnjinuet^^

(In

formam

magisatq^

magis

furgendo

Deorum^

Et

cjuos

ferre

queat

fors

hacfatali^

honores

)

2^

v/lamjatisej/eputettumdent^

vitanu.

Ergo

non

mediocre

mihi

comperta

labore^

QuA

in

folis

difco

inueniet

defcripta,nec

excors

Technafophifiarumy nec^

Zeluspresbiterorum^

Arguat^

magnonon

vllus

principe

digna

Cenjeatejfeminusyji

funtperifeâ.reporto.

Tum

demum

dtgna

vt

obeant

quando

ampla

ele^

j ^

^

Fatali

commixta

dte

dtjcordia

tnvnam (menta

Conitciet

majfam. Sedtu

(DvxIhclite)

lucem

Ingenij

fubltmis

eam.qua

te

\Deus

alte

ônauityjuccendetibvy

tuaîngrediare

TempLiyOculis

credendotuis:cjuia

ûantulacun^

Comprendi

valeant

emultis

qu ttbtpandoy

trdato

poterunt

Genio

digniffima

credi.

{rumt

Nee

Jctoltis

quiscjuam

e

cataclyjmo Grammatico^

(Per

cfuos

fubuerfum

eji

Sophtagenttsomne)putetur

Dignus

cjui

accedat,

titulo

quocumcj^

fuperbus^

i

J

d

Vtteveldoceat^velde

iJHs

iudicet

expers

Luminis,

Acjlultus

quddam

mtnm

ejfelatinc

Infultetdtâ,

vt

^

rebus

deroget

alte

j


18/270

6

.

lo

RD.

Brviî

Noi.

Vefcriptis.

Sedverba

putet.vocesci^

Deorunu

tAptata

hi6

ntimeris.cjHadrantta

fenfihm

htfce^

jQHamlibetinuitH6,fiquidem

fua

ponderadiHi^

Sen

fa

dabunt

noftris

vbi

liuor

fufpedttatui

Cejferit)

tnctptetc^

noUiZ

comprendier

artcs

Quidclaudant^^quid

promantTunc

vimeritorH

jX40

Multa

renafcentur.quA

iam

cecidere^

cadent^

QuAfuerant

in

honore

vocabula^^

nam

volet

vfuf

.

VJiuprinctpiHmq^

enmtis^cjuando

fapientum

Dogmataprifcorumprifcis

clarijfimaverbis

E^fundo

eruimui

tenebrarum^pro

nouitate

(Sifit

opHs)rerum,(jUocumq^

efonte

trahantur

CommodiHS^vocumauthor&s

erimuscj^

nouarum^

Grammatict

verbis

;

atnobisverba

miniflrent^

Jiobferuentvfum/juem

nosindicimus

ollis.

ÎS{ecgenm

infiptens

temerata

menteproteruum^

^ yo

Confundat

jpecieSy

turbetgenus

omneyut

vbi^

Artts

in

crepidamretrahantur

âmmaticakrtu^

^^m

vos

{6

Mufi

)quacumc^

e

parte

venitu

AppofitAêxcipietgratas

Sophtagenus

altumy

jQuamlibet

e^fihedis

Cumana

verba

SibylUi

Euandri^

rogtsreferantur

:

cunBa

probant

or.

eAd

nulUsfuge6

excultum verfificantes

Ofientent

fpectmen.quia

Nafo

VirgiUusc^

Submtttunt

pafiim

centonum

fragmina.

Qrnam

Viuis expreffumformis

luttamen

anheli

l(So

JfJerculis

AntAum

geminatis

virtbtu

vltro

Vrgentis.

(âfummundi^cumplaufiraparentts

Traciaret

Phaethon.

Velut

ardens

regta

cdt

Confiicienda.FretHmvtfumanti

turbtne

Olympu

^

^

.

\

Tingit.


19/270

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E

M

I

N

I

M. E

X

i

S

T.

L

I

B

.

Tingit.

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vt

htimeris

vix

fuflinet

AtLui

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rerum

ferflngnla

reddere^

prifea,

^(^centem

htfloriam

vt

exornetfabHla.

Quondam

Vt

Minosfnerat

crtflata

caffidepulchery

Vt

fnmpflt

cljpeHmjtorfitq^

hafttle

venufle\

Sic

habet

Artiurus

iunHam

cum

virtbtu

artem.

Gottfidum

veftit

Turntis^gaudetg^

Pipintu

x

7

6

^AEned

nHmerisyfpoliisq^

Rolan^itis

Achillis.

Exit

depanno

antiquo

noua

veftis

:

^

hic

fknt,

Sjndoneminalterttisfemoralta

(/faris

aEla.

MEns

luper

omnia Deus

cft.

Mcns

infita

omnibus

Nata-

ra.

McnsomniapcruadcnsKatio,

Deus

didat fic

ordi-

nat.

Natiira

cxcquitur

acque

facic.

Ratio

contcmplaiur

&

dif-

currit.

Deus

cft^lfonas

omnium

numcrorum

fons,fimplicitai

omnis

magnicudinis

&

compofitioni*

fubAantia,&

cxccllcntii

fupcr

omnt

momcntd

JnnumcrabilcimmcnCum.Natura

cftjnu-

incrus

numcrabilis.magnitudo

mcniurabilis,momcntum

attin-

gibilc.Ratio

cft

numcrus

numcrans,magnicudo

mcnfurans^mo

rrcntum

xftimans.

Influit

Dcus

pcr

naiuram

i*n

rationem.

Ratio

atiollitur

pcr

nacuram

inDcum.

Dcus

cll

Amor.ElIicicns.CUritas,

Lux.Na*

turacft

amabilcobicaiimjpnis,

&

Ardor,

Ratio

cft

Amans,

Subiclumquoddam

quod

a

N.itura

acccndicur

&

a

Dco

illu-

minatur.

*f 4^9

Scnfus

cftoculusin

carccrctencbrarum

rcrnm

colorcs,K

fupcrficicm

vcluti

pcr

canccllos.

&

forarain.iprofpicienf.

Ra-

lio

tamquam

pcr

fcncftram

lumen

afolc

dcriuans,

&

ad

{blcm

rcpercuflum.qucmadmodum

in

corporc

lunx

fpcculatur.

In-

tcUedius

in apcrto

&

quafi

cxalta

fpccula

vndinuc

oculus

fupcc

omncmpatticulatitatem^turbam

&

confufioncm.in

vniucrfo,

&

diftin


20/270

lo

RD.

Brvni

Noi.

luntastotfusruhflancizmodcrjtrixoptimo

princfpio

copuU

tur.Ind^que

pcrindc

totiui

perfedîo aique

nobilitas

conlcqui-

tur,atquccorpui

ciuitatis

cum

principis

voluntate

fuatum

pro

partium

proprietate

concurrcns,ctiim

fi nihil

altius

&

exterius

intendat>in

eiufciem

inteiligitur

eilc

gratia, de

cuius

gaudec

a-

more

atque

fauocc

princeps.

^98

A

J

ccrcum ftslicitacis

genui

non

debcmus

faperc

plufqui

oportct;

ad

fcrlicitatem

vero

fimplicitei(cum

fcirc

(ic

dc

gcnerc

honorum.nonplusadiuidebet

cflc

prxfcriptus

modus^quam

i

'iiaruraatquc

Dco

prxfcriptus

eftci

(quam

uullam

fruftra

voluic

rlle)p9tcntiz.

f

122

Quiphilofophari

concupifcit,dc

emnibus

principi6v u

hicans

nonprius

dealtcra

contradiîionis

partc

definiai.quam

thercantcs

audicrit&

rationibus

bcnc

pcrfpcdkis

aiquc

collaiis,

non

cx

audftu,fania,muItitudine,Ionga uitatc,titulis,&ornatu:

fcd

dc

conftantis

(ibi

atquc

rcbus

doiSrina:

vigorcfcd

de

ratio-

Dis

luminc

veritatc

intpicuaiudicct

&

dcfiniat.

5

118

Non

plus

fapientix,&

honitati,quam

ignor*ntix>&inl-

quitaii

voccsatquc

vcrba

fubminiftrani.

Horum

fimplicitatc

vericas^&dobnna;quorum

ornatu

incrtia

gaudct

&

aftutia,

&

quorum

varictatc

cum

quadam

mcrccnaria

follicitudinc

vani-

cas

infolcfcit,

T

^ti

Exfibilctur

in

foro

(ine

cloquio

&

perfuafionc

Rhctor,

Ita&qui

omilTavcrboriJ

proprictatc,emafcuIattorationc

in

no

{krxdiux

matronxzdibus

perfonaucrit,

cxulct:

ncctantu

lam-

quam

ignoraiiSjfed

vt

omninoad intelligcndum

inhabilis

eii-

ciatur

t

(j

quifpiam ab

hoc

philofophix

non

populati

gcucre

vcrborumcum

proprietatc

fimplicitatcm

tcntaucrii

cxcluderc;

magis

parricidijatquc

facrilegii reus

efto.quam

fi

dcoram

fa-

crofandtas

imagincs

prophanaucrit

:

vtpote

Saturnum.Martcmi

Ncprunum.Occanum,

HcrcuIcm,byflo,purpura,

annulis,

inau-

ribus,

&

cincinnorum

fimbriis

inhoncflarii,

qui

pro

vera

maie-

ftatc

nudi^cum

fimpliciflimoâd

deicati6

dii(ercntiaixi)celo

pingi

volucruuc.

C

A

P

V T

1 1.

Minimum

cfle

tum

numeronim

,

tum

magnituw

dinum,

tum

omnium

vtlibct

clemen-

tatorum

fubftantiam.

A

TmihifiiffciatreruproponderelHcem

[turii

Adpeterc^^temflum

jiUdo

e:fcadamante

fu^

Eri^


21/270

D

E

M

I

N

I

M.

E

X

I

S T.

L

I

B.

9

Srigere

in

feclum

vf^

adeo

meliora,

profejfo.

Et

cfHAcmcifDeui

iuffit

confurgere

vena

(ru

e$l\

Nunccaneretnctftam,

MiN imvm

fubflantiarc^

j4t(îdidemtandem

opperies

fuper

omma

magnii.

HtncmonasM^c

atomm^

totU6(^

htnc

vndt^J/^jia.

Spirittis^

in

nulla

conffiens

mole^

ft^ts^

Omnia

confittuensfigni^êjfentta

tota^

Si

res

tnfficias^

hoc

tandem

efi,

materies^.

{ipjltm

^

^

Quandocjuidem

mtmmum

/tcmtegrat

omfita

,

vt

NiJubfêrnatur;reltcfuorum

non

jiet

htlum.

Ejto

nullamonas^numerortim

non

erit

vllus:

Namc^

ea

conftttuit

fpecies^flatuensgenus

omne

Quoctrcain cunUisprimumeflfundamen^vtvnde

Et

Detis^

naturaparensârs^

expltcat

alte

Quod

fttpcr

omnegentu

perfiat^cjuod

tngenere^*

rgo clutt cofiastncuElts^^

fuperhdtc

cjui

\mnteft^

Claudttftnitum^

infinitum

permeatamplum^

Effciens^

neClens^tntegrans,

atcf^propagans

^

Quidciuidcompoflum^

[implex

cjuodcum^^^

cre^

Immenfo

a

feclo

pidens\

quia

maxima

cjuacj^

[atur

Ex

minimo^

in

minimoy

adminimu

funt,

per

miyii*

Hoc

natura

parensârtiscj^

pediffequtis

ordo

(

7nuc^^

Pontt

componensînc^

hoc

fpeculando

rejoluit:

Vt

numero

modico

verba

tnfinita

reponit

Litera

^

accentus/juorumparsdeniq^punEius

Prima

datur

\quare

hic

tota

eff

fubfiantta

in

illis.

Non

aliter

rerum

Jimplex

fubfiantta

prima

efi^

Corporibus

mintmum

corptis^cjuod^

omniatande

JO

Attinguntrefoluta.

l^^tl

dtfcordat

invno

hoc.

Sijpcctem

Jpeêsîpjum

Juntornnia

tandem.


22/270

lo

I0B.D.

Brvni Nol.

Vt

monas

efi

omnu

numeriu\ nam

corpore

tot0

Emicat

^

numertis

fuccedens

creditur

illi.

Sic

nihilo

variat

rerum

fubjiantia^

ISlempe

^rorfum

immortaliSyCjuam

nulla

p

otentta

gignit^

NullaciHecorrHmpitJlAdit^tenHatcjHey

nec

anget:

VerumhacgignHntHrgenitay^

foltiHnturin

ipfam^

Ex

hac

augentHr

crefcentia^

defictuntcjHein

Hanctenuatafuasmetas

quA

ortmqtie

reHtfwvL.

Mlnimura

eft

fubflaniia

rcrura

quatenuj

vidclicct

aliud

k

quantitaiis

gcncrcfigntficatur,

corporearfi

vcro

magnitii,

vbiquenihil

crit.

^ufcr

vndiquc

monadcm,

nuf

quaracrit

numcrus

,

nihil

erit

numcrabile,

nullus

numcrator.

Hinc

optimus

maximns

fubftantiarum

fubftantia,6ccntita$

qii

cntia

funt

monadis

nomine

cclcbratur.

fi3

Naturx&artisfubicduro,

&:obic6lum.compofitir>&

re-

folutio

agendo,&:

contcmplando

cxminimo

oritur,in

minimo

confiftu,&:

adminimum

rcducitur.

f

i6

Ncquc

multa

oportct

fflc

minimorM

gcncra,atquc

figuras.qucmadmoduro

ucquc

li-

tcraril.vt

in

numerabilcs

exindc

fpccici

c6ponantur:quamui

Dcraocrito

&Lcucippovno

figur?

^cncrc

c6fiftant:nam

pro

dif-

fcrcntia

inanis

&

folidi

huius&illius

fituationis

6cordinis,for-

luarumdiuerfitas

neccflari6

dc

fpharricis

aiomis

confcquetur.

iiobis

vcrovacuumfimplicitercumatomis

noufuflicit.

ccrtam

quippc

oportctcflcmatcriamqua

conglutincntur.

fcd

fortc

flc

ifti

vacuum

pro

acre

accipiebant,

quod

non

credimus/

f

5/

Numeruscftaccidcns

raonadis,&:mona$cftcflciitiauu-

nicri-.ficcompofitioacciditatomo,

catomus

cft

cflentia

com-

j)ofiti.

Principium

iiumeri

monas

cum

numcro,

ficut

&

principium

magnitudinii

atomus

cum ipfa

magnitudinc,

re

dudtiu^vcl

principalitcr

funt

in

gencrcquantitatis,&c

accidcn-

tia

fubftanti^,

qu?

cft

monas

antcccdcns,vere

&

pcr

fc minimum

principium

magnitudinis,in

quo

non

cxquo. &

inhac omnit

innt

vnum,ficutin

vcritateatomifccundum

fpccicm

omncsa-

tnmi

fccundum

numcrum.

sA^

corpora

crgo

refpicienti

omm-

um

fubllaniia

minimum

corpus

cft

fcu

atomus,

adlincam

vcro

atqucplanumminirHumquod

cft pundlui,

CA-


23/270

Dt M

I

N

1

M.

E

X

I

5 T.

L

XB.

I I

C

A

P

V

T

III.

Exproxime

didis

concluditur

morrcm

aJ

cor*

poris

fubftantiam

non

pcrtinerc,mul-

toquc

minus

ad

animam.

INufjc

fiulte

minas

mortk

fatumi^

timeto.

{Non

auditafcrunt Samtj

facra

vcrba

parentu)

Itrepidaadvoces

flultorum^^

fomnta

vulgi^

Fatalem

tncutiant

terrorem^fis

quafi

vere

Compaîtim

quiddam

confifiensparttbm

hifce.

An

non

ipfa

fluens

vario

cum

tempore

raptim

Continuo

mutata

venit

de

parttbtus

vltro

Adfcitis

nouiter^primis

abeuntibu

molcs

?

Nunquidmaterics

eadem

tua

corporis

eslnunc

Parttbtu

ac

toto^

cjualis

paulo

adfuit

ante

?

^Nlum

pueritlleidemfangui^Sy

caro

^

offa

adolenti

(onfitterant?

An

non varia

atq^ aliena

vtro

funt

Omnia?

Nonne

fluunt

mebra

at^

nouata

reieElant

'

ey^bfumptam

fliectem

(

velut

vngucs

atq^

eapilli

Senfibus

infitnuant

)centrivna

continuante

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in

cordts

medto

j

totum

moderamen

^

^

Jn

ûam

tu

referas^cjuACi^

ipfe

^

vnus

^

idem es*

Perpetim

affeûvario

quantumlibet

adfint

JnnumerA

circum

turb(SL,caftisq^fuborti?

fllamilUmtuteeffe

Jcias^medtHm^^

tenere^^

MxtrcmHmy

^

ctinElas

partesfine

parttbtts

vllis

;

CuiH^

veL

minimUyaut

nullum

efi

fubfiantia

corpui^

jQî^m

non

difcindet

naturai

vlla

potefias^

Fulmina

cjuam non

adtinguntiquam

cufpideflam^^

Xôn

violant

atomam^ceu

nec

primordia

queis

eSl


24/270

11

lORD.

BkvKiNo.

Compa5lum

corpiu^

(juorHm

folum

ordoylocusc^

^artUq^

ojJictHm

femper

variantur^

^

exfia^

Immota

ommno

rerum

fubfiantia

fimplex.

Compofitumporronullum

fubfiantia

vera

eff^

o

SedcjUAcomponis^parsi^vltima

compofitorum

Quatutedtdtficascircum.

Sic ergo

vtdebis

Cprpore

te

nu^tjuam

fubieBo

deteriorem^

(

eff,

J^ttod

prtmum tn

nullum

recidit

priu^^at^

perenne

Nunctbi.nunchictntearanSyVtnunc

tua

membra^

Quit

moueas

yferie

ttbt

(judi. certa


25/270

I>

E

M IKIM.

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S

T. LlB*

X

J

cuiHs

tAndem

centro

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noHos

cafiu.fuccejfibtis

anceps

;

lc CXC4C

jcfi

expUcitet

Rhamnujtdis

orda.

rcrum

fubfl^ntiA

minimc ficc i(IoIubiIismortcni

nofi

X

^


26/270

14

lORD.

BilVNI

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nota

vt

vircs

cjudicumejHe

^

corpont

cunSla

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fpecinien^cyclt

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centrt.

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nthil

esf

cycUts

pr^ter

fpeâbtle

centrumy

Et

[ine

fineglobi46^

nthtlefi

ntji

centrum

vbicjue.

Quare

htcfimpltciter

centrum

eflymtmmHci^

per

Totufifundens^veru^vnu^fimperîn

omm

(

mne^

Omnv^

compofitum

in mtntmu

reuocabttur

vt

pt

:

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mtni^num natura^

qualtbet

ampli

Senfibilis

claudit

vir&sâtqueexpUcatalte:

I

Q

TSlammintmumfiibfiansprdicelitt

robore

7nir/.

Concurfu

molem

quodcumcjueincreuit

tn

ampla.

Ntmirum

virtus

fubtellum corpus

adauaenSy

.

Confirmans.parteiscjPic

cjuodeiusneclit

m

vnum.

Sccjueipfum^^

circumfife

tfih^c

omnia

firuaty

fi

minimumâut

nulla

confifiens

mole

profeElo.

Sirnpltcttertandem

monadu^monas

vna

reperta

cfl.

QuA

multum^

^magnu

compleStitur

omne^

in

ifia

Jntegranda

means.

Dans

enttbpu

effe^

Deusque

efi

ExtanstotHînfinitum^verumômneJbonUyVnum.

\o

Qu^cjuein

compofito^

dtfcretOyfenfibtliûe,

Confifiunty

^

dtfiratltm

dtmenfio

conflaty

Sunt

alid^ atque

aliud

minimorum

corpusadtis^

Qti^

numcjuamfpacio

fe compatiuntur

in

vno^

Hetc

vbi

matertes

expanfis

fiuûat

alis

\

In

Vcro^

f^noÊnte^(L/uiterno^SimpliceyEodem

Non

fiatuuntnumeru?n^

SimplexÊnSyVnu

^

Ide:

Hinc

illi

proprium

faciunt

contraria

nomen

PrincipiUyFinisyMediumÊxtremu^

Nihily

Omne.

Ctiigradtbpu

certis

fpecies

rerum

adfimtlantur.

5

o

Vnde

ide

mmenfo

cH

longti^

latH^Ht^

profundmn

;

Et

K


27/270

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Minim.

Exist.

LiB.

15

E/

centrum eft

vnum

in

totOy

totu^tc^

per

omne:

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verfum

quaq^

hoc

fine

fine

esi

vndique

tantu^

Xenofhaniquetdeo

^qualisfutt

vndi^

fphdtra.

Ttnttusqueglobpi^

quamuis

non

vndique

tantus,

Eff

vnum

tamen

a mcdio

dimenjio

trtplex

Antrorfum^^

furfum^retrorftimque^

atc^deorfum^

Efdextrum^(^

Uuum.

Sigyrum

cunUtparentis

TellurisIpeEics^quofepro

Lucedturna

Expedityefipun^tis

quicunque

Occafus^ OrttUy

Et

cardo

medta

nonîs^mediitque

dieiy

46

Quilibetatque

alitts

quo

[it

dtfcrimine

cunque.

Vroinde

etiam

obieû

veniunt

contraria

in

vno

Heicvbtnonvllo

conflant

dtJiunUa

profundoy

fn cyclo

atqtieglobo

conuexaâtqua

incauaforma^

Qualesdifpe/catvixvlla

intentio

^

aEltis\

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fubieElim

ntilla

ratione

feorfum

Ejfeautadfumipojfunt.

Nonne

infiiper

vnw^

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cumexurgit

Itnea

plano

^noe

fubietio

fmul

eH

obtufns

,

acutusquc

J

o

dngulus explicitiy

non

vlla

forte

dtrempti,

Cum

certe

ambobtispunEius

fubfierniturilUy

^nque

illum

intereunt

fimulfutque

oriuntur

ab

iUot

Zoncepttisque

arcpu

minimiychordaq^

quidabflant^

?/

neque

dtfcrimen

noruntjj^c

maxtma

ille?

4

minimo

cyclo

quiddiffert

dimetrtis

eitis?

MaximaquiddiflantreEia,

arctis^

întegeripji

îrcultiSyVt

reîZ

efl

plus

confors

ampltor

arctis

?

Ergo

infinitam

tn

molem

quod

fe

explicat,

atque

ôntraûm

minimum

jpecics

variare nequibunt.

êntrum

{aii}cy(lus^chord\

area^

dimetrw,arctu


28/270

1

I O

R

D.

B

R

V

N

I

N

O

Et

radius fiHllo veniunt Sfcrimine

coram^

Omntafeu

minimHmyfeu

maxima

conciptantur.

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tardptm^j^^manensefi.

Ocit4s

extremCy

Qji

celert

fine

fine

meatu^

Esl

opm

vt

maneat.

Snmma

vt

conctttu

orbii

Mottis erit

punô^fimul

atq^

mouebttur

vno^

Termtni46

efig^fimul

motuSy

attaUpu

vterq^,

70

Qtôd

fi

fe

in

cyclumvertat^parHerquemouetHr^

Etfiat\

nam

/Imulitrediens,

redtit^

cjuiefcens.

Simpliciter

tardu

^

quod

femperpermanet^

tde

efl\

FiidenSy^rediensfiimulîdmotumatq^

cjuietu

esi.

E^rgoejui&smotusj^fimul

funtmaxime

tn illo

t^no^cjuodminimcmotum^

cjuod

maxtmeideq^ eft^

uifineudfinem

gradtenSy

immobtle

prorftUy

tfimultn

cunUistotummanety^

fuperipfa.

Sic

monaden

pnzter

nihil

eFl:cjuta

corpora

ntl

funt

Cttrdatomu.planunthtlextrdpunBa

putandu

esi^

Ntlpr,ztermonaden

numerusynihil

omnia

tandem

'

;

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extantevno.

Neûecontemplabiturergo

(fis

S

o

Nuc

Phjficus

cjuiscjua

aut

ftudio

cuicum^Mathe*

fntendens^Sophid^

aut

captansfublimia

prtmt^

Hoc

jine

prtncipto.

Stajutdem

cjuanto

altior

ilU

fucumbitjumenmagisintendttûe

fupeme\

Hoc

operA

prectum

eil

vt

pltu

fe

colltgat.atcjue

îfcutiensnumeruîn

monadenfeinuenat^îpfam

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tn

monadem^vt

hanc

in

fe

contrahat

tdem.

{

.

. % yr

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potentiflimum

eft

omnium,

quippe,quod o-

iVlfnncmomcntum,

numcrum^magnitudincm

claudii

quc

vfriutcm,

Eius

c(l

componere,

augerc,

fonnarc,

&

tanJcm

cilrr

compolitum,

formaium,

atquc

magnum

vlquc

ad maxi>-

munijîuodcum

codcm

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-

*

îi

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29/270

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17

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tellu,i,vniuerfal

fuperficUm

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.

ot.entis

occidcn,i..meridi,i,&

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30/270

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clineturuunc

exurgac

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ibi

ab

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CO

(imuL

iutereunt

maxime

acucus

&

obcufus

angului

^ui

(imul

eadem

exurgente

nalcuntur.

Septimo

in

minimoarcu &

minima chorda

quorumo-

xnuiuo

no

poflis

di^crentia

vllam

cf^ngere

ficut

ctiam

in

idcm

vcniunc

maxtmus

arcus acquechorda-.ijuandoquidem

tancoad

re


31/270

t> E MlNIli.

EXIST.

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C

A

P

V

T

V.

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quaf

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templationis

adpiîm

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tramite

eodem

ôlUmans^

Qm

tdem

menpiransformat

^

idem

^denfptrat

formans,minimi

Jpect^letur

oportet

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capiatcjtie

elementumi

Ltc opt4s

adieUuin

JpecHlatio

concipit

omnis^

i^to

necpr(zfens

vacua

e^l

ratione

profunda:

^

^

\la?7z

patrtbns

Sophi^

hHmancn

perfeElio

mentis

^rdctpue

appettttir^CHif

praxps

qnocj^

tefiis

iccedat

:

tanto

esi

htmen

pqte

fe

magis

extrdy

findere^

vtad

fenfti^s

defcendatab

ordtne

mentii

'

ên

fuemt

fenfns

per

fchalas

alta

fnbire

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per

medt


32/270

xo

loRD. Brvni

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.

X

prcdi^is

ncccnario

infercur

minimi

contemplacioncm

*

JL

tum

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prmiis

aiitc

naturalcm.niaihcnia-

ticam,acquemetaphylicani

fcicntiam

condituendam.

Ciurimx

enim^quamuis

diuerds

r.iti()nibus

facultaits

circa

magniciidi*

Demverfanturprxrcrtim

vcio

Ceomccria

qux

mcnfurando

K-

gurac

&

Hgurdndo

menfurat.

f

^

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ncadnexa,&(pecuiaci

oni

praxis:

Pr^rcipuum

camrnanccintencionis

ocuios

propoli*

tume(l

lux

vcritatis,

qux

v^cl

iplo

interdum

opere

cf}c)uque

coQtelbintcdeclai-ccurqua:

folaiub

vcxiUo

zccrnicaiis

imroo*

bilis &

inuariabilis

pcrfcucrar.

^

ji

Vc

aucem

ad

vcriracis

recepcioncm

melius

ingenia

difpo*

fiantur,

a

demolicionc fundameucorumfalOcacit

cA

progrcdU

cndiun.

C

A

P

V T

VI.

Adeosqui

continuumin

infinitura

diuilibileaccipiunt.

Erpetuo

totum in

parteismtHra

refoluens

A

ISIon

venit

ad

minimity

nulU

ratione

per

arte

{P^HlgHS

att

Jcjuantum occurretjineparttbus

vUis.

Nempeita

dererum

natura

iudicat

ejje

Vi

proprio

in

Jenju

numerisyfludiisy

rationi^

^yfddere

non

cejfat

numerumyfludium^

rationem

;

Vocibus^

vocesneHuntur^verbatjueverbii.

^yitquimateriescoram

finita

recepta

Finitis

frorpu

c

onflflit

partibus

omniSy

Si

quando ratio

naturaque

dtuidit

vnum^

JMultacjue

diflribuit conflante

coercita

fine

Sedmolem

moliapponens^numero

numerHW^He

Vllam

comperiet

non

vllo

tempore

finem.

T)Hm

numerum

a

numero

dementiyk

ff^ole^

molerfi

Occurret

monaSyat^

atomtu dubio

procul

omfii.

Afi

miferam

turpis

cohibet

deceptio

mentem


33/270

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Min

I

m*

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t.

L

i

i.

11

ûando

it^

continuireputat

fe

integra

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xcurfu

fmefine

tomos

numerando

:

nec

illud

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procurrat^

lO

lon

autem

a

magno

magnum

fic

eximat

idem

:

Handoijuidem

adfine

properatyûatumUbetanu

ipponatJongum(^^venit

quta

peruta

finU

{plii

>ud

ffiat^numert cjuoties

fub

nominetotum

efi.

^ttjuificapta^pra/entis

tempori^

tnfians

âuddubiefine

fine

fubit

duratio^

qua me

ôuerunt SophiA

firipturumh^c

dogmata

vert:

finita

iterum

fuccedent

fecla

,

quibus

me

^c

veredocuiffe

putentjnitumquibiu

exit

ûdidemâtque

vnum

prdfintistemporis

infians.

j

o

rinciptum

finefine

dari

cjuapropterhabemiu^

fineprinctpio

certus

fiat

denique

finis.

go

^

princtpium,^

finisreperitur

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uolibet

equeauimomentofiue

fequentes

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^llubeat.curfiu

manet

^

fine

fine

recurfus,

:

quoque

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patria

/regtone

voUnti

ccurret

Jpacium

fine

finibus,

in

Jp^tioj^

rpora:namnumc[uam

fine

rebus

inane

fequetur:

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fine

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40

f

finisrTotum

efi

medtum,

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fic

denit^

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eft\

imo

ipfum

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in

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vbique.

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extra

hoc

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finitus

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fine

fine^

(cjue

uandoquidem


34/270

11

loRD.

BrVNI

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Conditioci^dHplex

difcHrfiu.

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jpecics

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(onHentetfemper\

remotienti

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imnm.

^t

vero

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fiqnis

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partcsjooc

ordjneynempe^

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femper

part&sratiode

partibpts

anfert.

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pars

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cxqHirttur

vnins^

atcj^

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iftttis^

cHttis

de

millibtis

vnam

tAfccipiasrHrfiim.atîterHmbas^

ttertiq^

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fic

finlte

pntas

natnram

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^1.14. T

rVlgatum

cft, continuum

dfuidcnti

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8d

arti

V

jiumquamco

ileucntumin,vtca:

fuccurrant

partcs,

qua:

tn

alias

rurfuni

partcs

difcindi

ncqucant:

quafi

ita

in

fub*

icCto

conucniac

rcali

potcntta

a

partibus

ad

parrcs

alias

pcrccpti-

bilcsproficifci,qucmadmodum

raiiocinando

habita

miilcfima

vnius

digiti

partc>vnius

millcfimxpoflumus

quafrcrcadhuca-

Hani

millcfimam,vniusqucharumccntcfimam>5c

vniuj

cx

hit

ccntcfimis

dccimam^

&

vnius

cx

his

decimis

millcfiraam

Sc

ita

ilnc

fineproccdcndi nullus

vmquam modusdatuatur:

ac

fi

noii

diffcratitanumcrando

multitudincm

multitudini

adiiccrcjat-

2UC

diuidcndo

magniiudincm

amagnitudinc

fubtrahcrcîdcq;

c

defccndcrc

fccando

continuum,

atquc

alcendcrc multipli-

cando

difcrctum,atquc

vna

cadcmquc

raiio

fit

oppofiti huius

6c

lllius

ordinis>diucrfique

harum

illarumquc partium

gcnoris.

^

41.

Porro

nobis

ftatucndum

cil matcriam

finitam

quan-

canicumque

obieâm partibus

condare

non infinitis

cui

appo*

ncndo

magnitudincm^ficut

8c numero

finito

muhitudincm

in-

finitum

pcrcurrcre

licct.

E

contra

vcro

a

finita

magnitudinp

partcs

adtmcnii

&

fubdiuiÎcnti

minimum

ficuc

a

finito

nu*

xnero

numecum

fubtrahenti

monadem

tandem

occurrere

ne-

ceflecn.

^

tS,

51.

Duratfo ablolutc

cft

infinica (dc

mundi huius

xcc;rnf

Mte

vel

tcmporc non

dcfinio)

vnde fiuc fcmperfuctint

fiuc

nou

fucrinc^fiue

pcrpetuo

finc

vcl

non

fint

futara

qux

indiflolubilia

conflant^vcl

vno

mancuce.

dutotio

cdacltecnaaparce

anceriori

ante


35/270

De

Minim-

Exist.

Lib.

15

iic

hoCj& pofl

hoc, 6c

quodlibcc

tempori.^

(quod

accfpias;

in-

a.is;aLtquam

fauc

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hoc

in(bns,

velccmpuf

uo

icribo c(l

finis.

Itaquc

mc

fccipturum

hoilie,abhoc

in

anci

ad

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pracccricam

durationcm

fuic

vcrum,

6c

mc

:nplinc

hlfum;mevcrofcrip(iilcabhocccmporc

ad

immcn-

im

nihilominus

durationcra

cric

vcrum,

&:

vt

olim

fcriptu-

uni,falfum

cric.

Ergo

in

omni

punio

durationis^atquc

nnis

dnratibnis

punctus

cft

principium

finc

finc,

5c

finis

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rijicipio,

Tota

crgo

duraiio

cft

inhnitum

inftaus

idcm

princi*

ium

&:/inis.

Si.

Similcfuomodoiudiciumcftdcomni

punefto

fpacii

&

lagnitudinisinmolc

vniucrfi,ri

(vtprobatum

cll

in

libro

de

ifiiiito;

cft immenfum:

vbi

Tcllus

non

magis

cft

inmcdio

uam

luna,fdI,polus

&

omnia.

In

quamcontcmplationcra

dc-

cnirc

non

pocucrunc,

quibus

eius

motum

circa

proprium

encrum

non

pcrccpiflc

licuic.

Principium

&

fundamcncum

crrorum

omnium

tum

in

phy-

ca,tuminma^hcfi,

cft

rcfolutio

cominul

in

infinitura.Nobis

croprobatur

tum

naturae

tum

artis

vcrap

rcfolutioncm

qur

xtranaturaronon

inccdit^

magrtitudinefiuita

&:

numcrodc-

rcndcrcin

atomum,

tiim

vcionaturar;

tum

conccptui

adiici-

ndo>modum

vllura^

rebus

noncflc

conilitutum.

nifi

ad

ccc-

arum

fpecicrum

particularium

naiuram

refpicicnti.

Afmi-

aumcrgo

vbiquc

cflpra^fcns,

atquc

fcmpcr,

maximum

vero

lufquaraatqucnunquam.

Maximum

tamcn

aiqucminimum.

ca

in vnam

po/Iunt

coirc

rationcm

vt indc ctiam

maximum

biqj

eflc

cognofcamus.quadoquidcm

pcr

ca

qu9

dida

func.ma-

imii

in

minimo.

& minimu

in

maximo

confiftcre

c6ftat,qucm-

dmoduinraulticMdinc

monas,

inmonadc

multitudo

Qjiam.

is

potius

ratio

6c

naturapoflit

abfolucrc

minimum

a

maximo.

[uammaximuma

minimo.

Quare

imracnfum

niliil

cft.nifi

entrum

vbiquc.

itcrnitas

nihil

eft,nifi

rcmper

inftans.Ciuod

It

vnuraatqucmancnsreiactcrnx,aliudatquc

aliud

in

fucccf-

loncquadam

viciflitudincqueconftantium.

Immenfumcor.

usatomus.

Immcnfum

planum

pun


36/270

14

loRD.

BrvniNol.

C

A

P

V

T

VII.

Pcrftringitur

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propofitum

pluri-

bus

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NOn

igitur

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valent

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fine

tomic^

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in

toto

:

neûe

terminus

ille

vicijfim

j^Ho

Je

continguntfarteis

virtute

velaBu

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ejfe

potesi

numeroxHm

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parteU

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vbiin

integrum

conflandum

conttnHantut.

Tropterea

ftfinitas

concredere

parteis

^yûfisyfinttos

dabo

fineîndc

fequenter.

Quandoajuide

quamuis

ho

efi

pars

termintiSy

ipfum

o

QHTnejuiddamadpartemconJiet

proprteefferelatii^

HaudqHaciuam

numerum

collat(Z

excedere

credu

j

Xâm^

vtipars

multa

efiyita

multPi^

termintu

exit:

Mutuum

hac^

duo

re^

^

ratione

fequuntur.

fndefintta

quapropter,

non

fine

fine

Concipiasparteis:

quarumquoquetermintu

exflet

JndefinitHs:

Minimt

fubflantia

quando

Non

abtt

in

partes

alias

refoluta^

fi^^pj^

Confianter(

foloojficiovariabtlis)

vnumeî.

Ergo

errat

menfor

certftmfine

fine

rejoluens

Q

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non

vllis

fortibtu (tqtians

(

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contreHet)

quotiesper

inane

vagatur

Extra

eitu

lucemyleuitu

quamfomniatraBans^

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cuidgra

fine

finedmente

refufa

eff.

SeElile

vt

integrum

quid

na

tibifeBtlis

eff

parsf

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dquale

efi,

maitUy

mintUy

Aquum

>

Cum


37/270

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;

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dqualeferetury

^J^PP^

^tiam

parshaic

ûando

adiicietur

adillarfu

^

^

^jficiet

totum

matus.

Sidentque

totum

'^tmtum

vtdeas^

curnam

parteis

Jine

fine

4jferi$?

An

tales

poteris

confingere

parteisy

ûaUbus

adie^lts

nequeat

fiibfi:refcere

totum

J

ôrro

fi

vero

partem

vis nomine dici^

idieHamhancaltismatus

caufare

refirma.

ûod

fliam

tandem

fintta

eftmaxima

moleSy

lur

fine

fne

audent

minima

integrantia

dici?

Huc

ergo

obtutummale

adaEi


38/270

14

loRD.

B^VNI

NoL.

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notfi

vt

vircs

cjudicumqHe

fjf

corpora

cunSls

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dant

fpecinien^cyclt

fphdirayifiei^

centri.

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mhilef{

cycltu

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centrumy

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centrum

vbtcjue.

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htcfimpliciter

centrum

efi^mintmu^

per

Totii

fefundenSyVerUyVnu^fimper^tn

omm

(mne,

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cowpofitum

in mtnimu

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vt

fit

:

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ir/

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tn

ampla.

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39/270

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omne:

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esi

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medio

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triplex

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fHrfHm^retrorfumcjHe^

at(^ deorjiim,

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JpeEies^^Hofepro

lucediHrna

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quicunqHe

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cardo

medt

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alius

quo

fit

difcrimine

cunque.

Vroinde

etiam obieElH

veniunt

contraria

in vno

Heic

vbt

non

vllo

conflant

dtfunâ

profundoy

^n

cyclo

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intentio

^

aîtts^

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fiibieBim

nulla

ratione

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aut

adftimipoffunt.

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4tqHeidempHnUH6CHmexHrgitltnea

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e

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$

o

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explicitiy

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certeambobuspHn^Hs

fHbflernitHrilUy

^nque

tllum

tntereunt

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oriuntur

ab

iUof

7onceptt44cjue

arcpts

minimiychorddc^

quidabftant^

ii

neque

dtfcrimen noruntjj^c

maxtma

ille?

4

minimo cyclo

cjuiddijfert

dimetrtu

eius?

MaximaquiddijiantreBâ^

arctis^

întegeripje

îrcultiSyVt

re5i(e

ejl:

pltis

confors

amplior

arctis?

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infinitam

in

molem

quodfe

explicat,

attjue

40

ôntraSlum

minimum

Jpecics

vartare nequibHnt.

êntrum

{4i^)cy^lw^chord\

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40/270

itf

loRD.

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I

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radiHs ntillo

veniunt

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maxima

conciptantur.

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infintte,

tardtimg^^manens

efl.

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extremey

^

celert

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fine

meatu^

si

optis

vt

maneat.

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vt

conctttis orbii

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ertt

pun^o^fimul

at(j^

mouebttur

vno^

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efi^fimul

motpts^

attalltu

i/ter^.

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fi

fe

in

cjclumvertat^parkerqtiemoHetHri

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fiaty

nam

fimul

it redtens,

redtttj^

cjuiefcens.

Stmpliciter

tardu

^

qtiodfemper

permanety

tde

efl\

Viidens^^rediensfimul^tdmotumatcj^

cjuietu

esi

Ergo

cjuie^

motusj^fimul

ftmt

maxime

in

illo

f^no^cjuodmtmmcmotum,

quod

maximeideq^

eTl^

A

fme

ad

finem

gradtensy

immobile

prorfiuy

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cunttistotum

manet^^

fuperipfa.

Sicmonaden

pnzter

nthilefl:cjHta

corporantl

funt

Cttrdatomuiplaniintlnl

extrdpunBa

putandu

esi^

Ntlprdttermonaden

numerus^nihil

omnia tandem

'

;

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extantevno.

Necjtiecontemplabiturergo

(fis

8 o

Nuc

PhjficHS

cjuiscjua

aut

fiudto

cuicumtj^Mathe*

fntendenSySophidt

aut

captansfubltmia

pnmA^

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fine

principio.

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cjuanto

altior ilU

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magisintendttcjue

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Hoc

oper


41/270

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Minim. Exist.

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17

rtf.

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e(l

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vulgo

philofophanttbus

ns Vnum

non

diffe*

lu.

51CUC

ergo

per

luonadem

omnia

func

viiu,

ica

&

pcr

mo*

dcm

funt;

quando

quod

vnum

nou

cfl.nihil

omnino

efl.

10

In

miiiimo,fimpliciw/liona


42/270

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templationis

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rationes

atque

figHnt

Perquirens^variofcjHe

in

fines

trnmite

eodem

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tdem

menfuransformat

^

idem

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oportet

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primofoltdum

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elementumi

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op:4^

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omniSy

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humandt

perfeBio

mentis

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appetttur^cui

fi.praxis

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p


43/270

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loRD.

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-

X

prrdi^is

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11

tum

ncceilariam^tum

in primis

ancc

uaturalctn.matiienia-

cicam,acquemctaphy(icani

fcicnciam

condicucnciam.

Munmx

cnim,4uamuis

diucrds ractonibus

facultatts

circa

magnitiidi-

ncm

vcrfancurpr^ercrtim

vcio

Gcoruccria

qua;

mcnfurando

K*

gurat

&

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mcnrurac.

f

Heic

vctocjuamuispraxifpcculatio

ncadneza.&fpeculati

oni

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ocuios

propod*

turacd

iux

vcricacis,

qux

vel

iplo

inccrdum

opere

cf}ei)uqu

coQceibintedeclaiccurqua: folaiub

vcxilio

ztcrnicaus

imroo*

bilis

&

inuariabilis

perfcucrar.

f

21

Vc aucem ad

veriracis

reccpcioncm

melius

ingcnia

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demolicionc

fundamcncoruinralijcacis

cil

progredi^

cndum.

C

A

P

V

T

VL

Adeosqui

continuumin

infinitura

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totum

in

fartcis

tjatura

refolHens

A

ISIon

venit

adryjinimii^

^

nnUa

rattoneperartc

{f^filg^

att

)qHantHmoccHrretJineparttbtu

vili^.

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ita

de

rerum

natnra

mdicat

ejje

Vt

proprio

in

fenfu

nHmeris^fiudiisj

rationi^

^dderenon

cejfat

nHmerHmyJiudiHmy

rationem

5

Vocibw

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9yft


44/270

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MlN

IM.

EXIST.

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45/270

11

lORD.

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.NoL.

Conditioci^dsiplex

difcHrfiu.

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Conceptis

Jpecics

Jpeciebm

obire

fnperne

5

0.

(onHenietfemper\

remouenti

occnrfitat

imum^

Qy4t

vero

molem

fiijui^s

dtfpefcatâtiHs

Obtrudetgeneris

partes^hoc

ordineynempCj

J^Ho

fimper

partesratiode parttbtis

aufert,

Tertia

pars

qnottes

exquirttHr vnius^ at(j^

Centena

tfitu^^cutpu

de

millibtis

vnam

tyiccipiasrHrfHmâtîterumhas^tterHCj^

repofias.

An

fic

finlte

putas

naturam

excurrere

poffe

tyitq^

artemymolem

qHofitraEtans

materiei

Jslon vnquam

extrcmam

valeat

contingeremetamf

^1.14,

TrVlgatum

cft,

continuum

diuidcnti

natur.r.Sd

arti

V

numquameo

deucntumiri^vtca:

fuccurrant

partcs,

qu2

^n

alias

rurfuni partes difcindi

nequcant:

quafi

ita in

fub*

ic(Sô

conueniat

reali

potcntia

a

partibus

ad

parrcs

alias

pcrccpti-

bilcsproficirci^quemacimodum

ratiocinando

habita

miilefima

vnias

digiti partcvnius

millcfimacpofi[umus

quarrcrcadhuca-

iiam

millcfimam,vniusque

harum

centcfimam>& vnius

ex

hit

centcfimis

dccimam>

&

vnius cx

his

decimis

millefimam

&

ita

fine

fineprocedcndi

nullus vmquam

modusdatuatur:

ac fi

noi|

difFcratitanumerando

multitudinem

multitudini

adiiccrctac-

quc

diuidendo

magnitudinem

amagnitudinerubtrahcre,idq;

fic

dcfcendere

fecando

continuum,

atque afcendcrc

multipli-

cando

dircrctum.atque vna

eademquc

ratio

fit

oppofiti

huius

5c

illius

ordinis>diuerfique

harum

iilarumque

partium

genoris.

^

41.

Porro

nobis

ftatucndum

cfl

matcriam

finitam

quan-

tamcumque

obic^bam

partibus

conllare

noninfiuitis> cui appo^

ncndo

magnitudincm^ficut

6cnumeronnito

multitudincm

in-

finstum

pcrcurrcre

licet.

contra

vcro

a

finita

magnitudinp

pArtes

adimcnii

6c fubdiuidenti

minimum

ficut

a finito

nu*

xnero numcrum

fubtrahenti

raonadcm

tandcm occurrccc

ne-

ccfiecft,

f

tS,

}i.

Duratio

ablolute

cH

in^nita

(dc mundi

huius

actcrni-

tate

vcl

tcmporc

non

definio)

vnde fiuc

fcmperfuctint fiuc nou

fucrintjfiucpcrpctuo

fint vcl

non

fint

futnra

quxindiflolubilia

condanc^vel

vno

maneute.

duratiocAactecnaapartc

anteriort

ance


46/270

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ftais ;aLic|Uam

faiic

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hoc inlUns,

vcl

cempui

cjuo

fcribo

c(l

finis.

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mc

fcnpiurum

hodie,abhoc

iu-

(lanti

acl

immcnram

prxtcricam

durationcm

fuic

vcrura,

fic

me

fcripliftc

hlfum;mevcrofcripfifieabhoctcmpore

ad

immcn-

fam

nihilomiuus

duracioncra

crit

vcrum,

&: vc

olim

fcriptu-

ruQi.falfum

crit.

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in

omni punflo

durationis^atquc

o-

mnis

darationis

pundius

cft

principium

finc

finc,

Sc finis

fine

principio,

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cigo

duratio

cft

inhnitum

inftaus

idcm

princi*

pium

fichnis.

f

yJ.

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pundo

fpacii

8c

magnitudinisinmolc

vniucrfi,fi

(vtprobacum

cil

in

libro

de

infinito;

cft

immonfum:

vbi

Tcllus

non

magis

eft

inmcdio

quam

luna,foI,polus

&

omnia.

In

quamcontcmplacionera

dc-

uenire

non

potucrunt> quibus

eius

motum

circa

proprium

ccncrum

non

pcrccpiflc

licuic.

f

Principium

8c

fundamcntum

errorum

omnium

tum

in

phy-

fica^tuminmathcfi,

cft

refolutio

comirtuf

in

infinitura.Nobis

vcroprobatur

tum

naturae

tum

artis

vcrap

rcfolutioncm

qusc

cxtranaturaro

non

inccdita

magnitudii\efiuitaS:

numerode-

fccndcrein

atomum,

tum

vcioiiaturar

, fum conccptui

adiici-

cndo,modura

vlluraa

rcbus

noncfle

conJlitutum.

nifi

ad

ccc*

tarum

fpecierum

particularium

naiuram

refpicicnti.

Mini-

inumcrgo

vbique

cflpri^cns,

atquc fcmpcr,

raaximum

veto

hufquara

atquc

nunquam.

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tamcn

atqucminimum,

itain vnam

poflunc

coire

rationem

vt

indc

ctiam

maximum

vbiq;

cflccognofcamus,quadoquidcmpcr

caqu9di(aafunt.ma.

ximii

in

minimo,

&

minimu

in

maximo

confiflcrcc6ftat,qucm-

admoduinmuItitMdinc

monas,

inmonadc

mulcituclo

Qjiam-

uis

potius

ratio

ik

nacurapoflicabfolucrc

minimum

a raaximo.

quammaximuma

minimo.

Quare

imracnfum

nihil

cft.nifl

ccntrum

vbiquc.

ittcrnitas

nihil

eft.nifi

fcmpcrinftans.Qnod

eltvnumatqucmanensreiaccccni.aliudatquc

aliiid

in

fucccf-

fioncquadam

viciflitudinequeconftantium.

Immcnfuracoc-

pusatomus.

Immcnfum

planum

punlus.

ImmcnCura

(pa-

cium

punai

vcl

atomi

rcceptaculura

;

alia.n.

capiuntur, vbi

ato-

mus

capitur.

&

non

atomus,

vbf

alia:

idco

propric

indiuiduura

dicitur

cflc

ybiquc,&

quia

fpacium

cfl

inHnicu

ra^ccntrum

dici-

lur

cfle

vbiquc,

atomum

dicitur

cflc

omnia.

^tomum

vcro

luxtt

diucrfum

genui

alias

diftindum

intcliigo.

B

4


47/270

14

1 O R

D.

B P.

V

N

I N

O

L.

C

A

P

V

T

VII.

Pcrftringitiir

idcm

propofitum

pluri-

bus

argumcntis.

NOn

igitur

minima

ejfe

valent

Jine

fine

tomic^

Fimto

in

toto

:

nequeterminm

ille

vicijfim

J^Ho

Je

contingunt

parteis virtute

velaElu

Jnnumero

ejfe

poteslnumero:cum

femperadamba^

Adttneat

parteis

duntaxattermmm

vnm\

Heic

vbiin

integrum

confi^ndum

contmuantur.

Tropterea

[Ifinttas

concredere

parteis

tyiufisyfinitos

daho

fine$îndcfequenter.

Quandotjuideûamuis

no

eH

pars

terminuSy

ipjum

o

Cumcjuiddamadpartemconfletproprieejferelatii^

Haudquaquam

numerum

collat

exccdere

credu

j

Namcj^

vtipars

multa

efiyita

multtis

terminus

exit:

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hac^

duo

re^

^

ratione

fequuntur.

fndefinitas

quapropter^

non

fine

fine

Concipiasparteis:

quarumquoquctermintis

exflet

Jndefinitm:

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quando

Non

abtt

in

partes

alias

refolutay

fedipfa

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foloojficiovariabtlis)

vnumefi.

Ergoerratmenforcertumfine

fine

refoluens

Q

Quantum,

natura

nufquam

vefligia

luflrans^

TSliuquamillaattingens^non

vllisfortibtu Aqtians

(

Qutduis

contreîet)

quotics

per

inane

vagatur

Extra

eim

lucemjeuitis

quamfomniatraBanSy

Copia

cuidgra

fine

finea

mente

refuja

eff.

Seî/e

vt

integrumquid

natibt

Jeî/iseff

parsf

Qujtreinfinito

dquale

efl,

maim,

minm^

aquum

?

Cum


48/270

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modicum

quîmcHmc^ ttbi

capiaturyOportet

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acUqHet

;

T)tmidiHm

toti^tntegrocjHe

(zqHde

feretnr^

^pup

pe

etiam

pars

hac

^nando adttcietur

ad

illam^

^

^

jE

ffictet

totnm

mattu.

Si

demqne

totum

Ftnitum

'videas,

cHrnam

parteis

fine

fine

^JJeris?

An

talcs

poteris

confingere

parteis,

QHOLlibpis

adieîs

neqneat

fHbfcrefiere

totnm

\

Porro

fi

vero

partem

vts

nomtne

dici^

jidieUamhancalii^matHs

canfare

refirma.

Qpiod

fiiamtandem

fintta

efl

maxima

moles^

Cnr

fine

fiie

andent

mintma

tntegrantia dici?

Hhc

ergo

obtHtnmmale

adalid aduertito

metiiy

Qmpofiqtiamh^c

noris

maipts

fiatuentia

cjHantH

QHan

dofigillatim

integro

adponHntHryîfind

Non

infimtHmy fed

certa

margine

claHfiimi

Ne

repHtes

retfnbteElA

exparte

perenni

DtfcHrfiifctJfHmdifcindtpoJfe

fnbinde^

Vtpartcs

finefinecjHeant

fisccedere

parti

Sedrattonis

eritfinemente,

modoqne

potefias

Fingere

de

nihilo

nnmeros

folnendo

folnta^

Pro

Itbito

immenfnm

centrt tribnendo

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giordano bruno - de triplici minimo et mensura

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