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vol. I pars III

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Media expo.<br />

G de fimul, ipfa funtxqualia.fed hxc<br />

enuntiatioc6isatq-,vfis,licetfu vera,non<br />

tia eft appropriata, fed coic2s<br />

Et ppea deelaiauit Arift.in lib.<br />

Sophifticorum,cb haic monftrario<br />

Bryfonis eft moftrario Sophiftica,<br />

licet non fit faifa: tn vocauit ipfam<br />

Sophiftica, hoc eft apparente, qm<br />

cxiftimabat,q7 eflet demonf tratio,<br />

icnoneftdemoftrario: &propterca<br />

fieri pot, vt modus iftemonftra<br />

tionis trasferatur de arte in arte, &<br />

efHciatur ad moftiadas res multas.<br />

f$ Qjioniam vero demfo,quemad-<br />

*>J modu declaratu fuit, eft ex rebus j><br />

H le& appropriatis, fequitur ex necef<br />

fitate, vt mcdius terminus demf onu<br />

fit aut ex natura generis fiibiec~H<br />

iftius arris, aut ex natura generis al<br />

tioris c6prehede"rishocgenus:qucadmodu<br />

dcmf o plerunq; ef I de rebus<br />

muhcis ex prmcipijs coputatiuis:&<br />

hoc, qm Mufica pdnitur flib<br />

Computatiua: &queadmodu plerunq;<br />

demonftrario adduciturde<br />

rcbus,qua: funtin fcia Perfpec^iuoru<br />

ex principijsgeometricis. Acciditautin<br />

huiufcemodi duabus arti<br />

bus , cu vna ipfarum eft fub alia,<br />

I vt ars, quae confiderat de genere altiori,monftret<br />

rem per cam fuam:<br />

quaz vero eft Tub ipfa, monftret rei<br />

exiftentiam.vtin exemplo,qm ars<br />

Mufic£ponit, interuallii per qua<br />

tuor coaptatur & coftituitur fupcr<br />

ca iftius confbnatue ex arte Computatiua<br />

: & hoc,quonia fbnus iftc<br />

eft fm proportionem fuperparricu<br />

laremtfbnusaute, qui eft,cxempli<br />

gratia, fm proportionem duplam,<br />

aut fuperparticulare eftconfonus,<br />

Etquemadmodum illud,qcf ponit<br />

Perfpe demfo erit ex priucipijs<br />

proportionatis appropriatis, qua:<br />

funt caufa propinquarei,& declara<br />

turn etia cum hoc fuit,qn trasferri<br />

ppflunthmoi dcmonftrationesdc<br />

arte in arte, & quado non poflunt,<br />

Qjionia vero demonftrario fim- 7^<br />

pliciter,auzexhibet camreijppin F<br />

qua,eft demonf Iratio habenspropofitiones<br />

cum his conditionibu^<br />

qua; o£s praiceflere, durum eft nobiscognofcere<br />

natura demonftrationis,q<br />

eft demonftrario fm veritatemrqm<br />

difUculter cognofcimu*<br />

conditioes,& exiftimamusplerijqj<br />

nos (cire rcm fcTa vcra, ciim ip{am<br />

fcimusper propones verasimmediatas:resautcm<br />

non eftita,niu" ha<br />

buerintreliquasc6ditiones,dequi^<br />

bus mentione fccimus, vtfintproportionatx,<br />

Scpriores fm natura,<br />

Et

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