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# Title: [Idea Totius Encyclopaediae Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea] Erhardi Weigelii, Prof. Publ. Idea Totius Encyclopædiæ Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea (shelfmark Leibn. Marg. 106)
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11
1
Cap. 8.
DePostulatis.
5. 2. Elcrognenomine, reras, certas, et neceslariastaS
ENcCausas necessum est relmaxime cum quo d estaro demon- Bera, cerra
Sraciro canqua cautaro nequeant esse deteriores, eum quod
per easdem incellectus ipsum Ffacum aererum, certum de
necesarium indubitaco Cogno(cat: Ouare Cum PEOPTeE
quod unum quodquetale est, illud sihicejusdem specici, tale
quoque ese mulcomasis certum siE per nomnvémotar, quoni-
am propter haec principia FRaci reritas a necessicudo certa
redditur, ixsa mulromasis certa esse, nulloque prortus la
Borare dubio debere, quiris incellisIE.
8. 3. Non autem unius eiusdemque generis (unt haec Dupticis eci
Principia, sed in duas classes distinsui ponunt: Alia enim neris
aliundenon dependene, auc ad minimum immediace tan-
quam rera, certa necessaria per se coonoscuntur; alia depen-
dencaliunde simulg; Tuam ip sorum demonstrationem prae-
Fupponune, uc aliis a se dependentibus candem larsianeur.
Illa communiter vocantur prima, haec nobisorra diceneur.
Prima porrocaulationem, h. C. FRaci demonstraciri posirio. (as
nem, rel immediate a formaliter exercene, it a ut iis d parterei
Politis ettacum demonstracirum illico poni sitnecestum; vel
Talcem mediate d gnasiporentialiter; ita ut iis a Parto rei posi-
risectacum demonstracirum in proxima saltem constituatur
elendi pocentia. IIla dicimus Axiomata; hac Postulara.
Axiomata demonstratirum eftatum realiter esse taciunt, h. C.
necessitane: Postulata rero effatorum demonstrantium ter-
minis prius larsinneur esse simplex, quibus mediancibusde.
um ad iptius effaci complexum e realem essendi actum
quasinecessitandum concurrune. IIla omnes insrediuntur
demonstrationes; haecnonnilieas in quibus immediacaru
caularum termini simplices in suo esse seorsim sunt sumendi
Ucraque tamen quoniam verera certa d necestaria absque.
demonsracione seumedio ulceriori cognolenntur, non sci-
ri led incellici dicuntur, de carum (ut et ipsarum Dehinitio-
num e Hypochelium) cognicio ret habitus abAraAC N86.
InteIliBENTIASVOCAEUI.
Hlincipsa
necessaria
ut sunt: