vol. I pars III

vol. I pars III vol. I pars III

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Media expo. G de fimul, ipfa funtxqualia.fed hxc enuntiatioc6isatq-,vfis,licetfu vera,non tia eft appropriata, fed coic2s Et ppea deelaiauit Arift.in lib. Sophifticorum,cb haic monftrario Bryfonis eft moftrario Sophiftica, licet non fit faifa: tn vocauit ipfam Sophiftica, hoc eft apparente, qm cxiftimabat,q7 eflet demonf tratio, icnoneftdemoftrario: &propterca fieri pot, vt modus iftemonftra tionis trasferatur de arte in arte, & efHciatur ad moftiadas res multas. f$ Qjioniam vero demfo,quemad- *>J modu declaratu fuit, eft ex rebus j> H le& appropriatis, fequitur ex necef fitate, vt mcdius terminus demf onu fit aut ex natura generis fiibiec~H iftius arris, aut ex natura generis al tioris c6prehede"rishocgenus:qucadmodu dcmf o plerunq; ef I de rebus muhcis ex prmcipijs coputatiuis:& hoc, qm Mufica pdnitur flib Computatiua: &queadmodu plerunq; demonftrario adduciturde rcbus,qua: funtin fcia Perfpec^iuoru ex principijsgeometricis. Acciditautin huiufcemodi duabus arti bus , cu vna ipfarum eft fub alia, I vt ars, quae confiderat de genere altiori,monftret rem per cam fuam: quaz vero eft Tub ipfa, monftret rei exiftentiam.vtin exemplo,qm ars Mufic£ponit, interuallii per qua tuor coaptatur & coftituitur fupcr ca iftius confbnatue ex arte Computatiua : & hoc,quonia fbnus iftc eft fm proportionem fuperparricu laremtfbnusaute, qui eft,cxempli gratia, fm proportionem duplam, aut fuperparticulare eftconfonus, Etquemadmodum illud,qcf ponit Perfpe demfo erit ex priucipijs proportionatis appropriatis, qua: funt caufa propinquarei,& declara turn etia cum hoc fuit,qn trasferri ppflunthmoi dcmonftrationesdc arte in arte, & quado non poflunt, Qjionia vero demonftrario fim- 7^ pliciter,auzexhibet camreijppin F qua,eft demonf Iratio habenspropofitiones cum his conditionibu^ qua; o£s praiceflere, durum eft nobiscognofcere natura demonftrationis,q eft demonftrario fm veritatemrqm difUculter cognofcimu* conditioes,& exiftimamusplerijqj nos (cire rcm fcTa vcra, ciim ip{am fcimusper propones verasimmediatas:resautcm non eftita,niu" ha buerintreliquasc6ditiones,dequi^ bus mentione fccimus, vtfintproportionatx, Scpriores fm natura, Et

A Etqm omnis demfo coplicatur 7 j & confifHtextribus, quoruvnu eft res fubiccTtcIf ea artc.fcclm vcro pro pones,quas oportct admitterc, terrium afit^dicata qfiti in ilia artc,q" hifce fubis per fc infunttigitur manifeftu,q? oportct confyderante in arte,vt pccdar apud ipfum tria hate genera cognitionii primaru: qm lam fuitpofitum,q? oportet omne" doftrina £oem difciplinaefle ex cogmtionc pra-ccdcmc. fi quidem fuom oportet vt 6cedat,& admitta tur ex difpone ipuus,q7 eft,& no fit inquifino fuper exntia ipfius oino, •P qmnS-funt apudipfum propones in eo, quod ntinquifitio fuj? ipfis: fi vero fuerit propones, oportct vt cognofcatur ex difpone ipfarum,qj fignificant nomina ipfarum,&q? liint:fin autfucrint pratdicata qfiti inexiftentia fubiectis, oportet fcire quid fignificantnoiaipfbrum tm, deinde quzratur, an infit fubieclis g demfones: queadmodum oportet Geometra cognofcere, quid fignificat nomen triaguli &circuli, & Computatiuum, quid fignificat uomen paris & imparis,& primi & C non pnmi.Ficriautpotcft,vtn6 fit opus ha:c tria prxcedere in cognitionc reru, quia fortafle resin i^is rnanifcltaf.&c hoc, qm multa fiinf fuota,inquibusn6 oportct p"mit- |cre & enutiare, q> oportet artihcf ifti 9 artis admittcre,q? fint,qm ipfa efle eft maxime manifeftum apud (cnfurn: qucadmodu caloreefleac l&igus, quod eft fubiectum Scic"tix Naturalist & in multis opus e hoc, qucmadmodu fchabet resin C6putatiua.oportetcnim (peculatem in ipfa cognofccrc, atq; admitterc 4priucipio,cp fit: qm ipfius cxncia Tra&atus Primus. i o eft iguota (cnfui,& confiFr (e habec I) res in magnitudinc ac menfura , & confimiliter in mulcts propofitionibus&prjedicatis quxfitorunott oportet pre.cognofccre quid fignificat nomcipfor urn :quemadmodum in propone dicente , fi a Juobus a:qualibus jcquales panes dc - matur,qu3: rcmanet fun tzqu alia. Proponum vero, qua; peragutur 74 rn arribns,quzda funt appropriate, & hx Cant proportionata? per fc , q no pnt affici in pluribus gencrib : veluti,q? linea rec^a eft , qu x ponif {uperfubie

A Etqm omnis demfo coplicatur<br />

7 j & confifHtextribus, quoruvnu eft<br />

res fubiccTtcIf ea artc.fcclm vcro pro<br />

pones,quas oportct admitterc, terrium<br />

afit^dicata qfiti in ilia artc,q"<br />

hifce fubis per fc infunttigitur manifeftu,q?<br />

oportct confyderante in<br />

arte,vt pccdar apud ipfum tria hate<br />

genera cognitionii primaru: qm<br />

lam fuitpofitum,q? oportet omne"<br />

doftrina £oem difciplinaefle ex<br />

cogmtionc pra-ccdcmc. fi quidem<br />

fuom oportet vt 6cedat,& admitta<br />

tur ex difpone ipuus,q7 eft,& no fit<br />

inquifino fuper exntia ipfius oino,<br />

•P qmnS-funt apudipfum propones<br />

in eo, quod ntinquifitio fuj? ipfis:<br />

fi vero fuerit propones, oportct vt<br />

cognofcatur ex difpone ipfarum,qj<br />

fignificant nomina ipfarum,&q?<br />

liint:fin autfucrint pratdicata qfiti<br />

inexiftentia fubiectis, oportet fcire<br />

quid fignificantnoiaipfbrum tm,<br />

deinde quzratur, an infit fubieclis<br />

g demfones: queadmodum oportet<br />

Geometra cognofcere, quid fignificat<br />

nomen triaguli &circuli,<br />

& Computatiuum, quid fignificat<br />

uomen paris & imparis,& primi &<br />

C non pnmi.Ficriautpotcft,vtn6 fit<br />

opus ha:c tria prxcedere in cognitionc<br />

reru, quia fortafle resin i^is<br />

rnanifcltaf.&c hoc, qm multa fiinf<br />

fuota,inquibusn6 oportct p"mit-<br />

|cre & enutiare, q> oportet artihcf<br />

ifti 9 artis admittcre,q? fint,qm ipfa<br />

efle eft maxime manifeftum apud<br />

(cnfurn: qucadmodu caloreefleac<br />

l&igus, quod eft fubiectum Scic"tix<br />

Naturalist & in multis opus e hoc,<br />

qucmadmodu fchabet resin C6putatiua.oportetcnim<br />

(peculatem<br />

in ipfa cognofccrc, atq; admitterc<br />

4priucipio,cp fit: qm ipfius cxncia<br />

Tra&atus Primus. i o<br />

eft iguota (cnfui,& confiFr (e habec I)<br />

res in magnitudinc ac menfura , &<br />

confimiliter in mulcts propofitionibus&prjedicatis<br />

quxfitorunott<br />

oportet pre.cognofccre quid fignificat<br />

nomcipfor urn :quemadmodum<br />

in propone dicente , fi a Juobus<br />

a:qualibus jcquales panes dc -<br />

matur,qu3: rcmanet fun tzqu alia.<br />

Proponum vero, qua; peragutur 74<br />

rn arribns,quzda funt appropriate,<br />

& hx Cant proportionata? per fc , q<br />

no pnt affici in pluribus gencrib :<br />

veluti,q? linea rec^a eft , qu x ponif<br />

{uperfubie

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