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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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Cap. 6.
De FGyporhest Demonstrariva.
esse commensurabilem costae: Analycicus commensurabilica-
tam assumic esse, sc d ex ed quippiam absurdi colsisit octensi-
re nempeparem numerum aequalem esse impari, lib. Y. PriOr. 35.
e consequencer diamerrum non esse commen surabilem per
impossibile demonstrae. EIcigitur in oltensira demonstra-
tione Frpothesissemper est astructiras ita in ca, quae ducie
ad impossibise, destructira dici porest cerminaliter, esto
quod astructira sic ab surdi consequentis.
5. 6. Exquo colligitur, non cancum ex falhsprincipiis, ur
(Puta suppoliciris _ hypochericis) non ue ex causis, le d uc ex ex falsis be-
ocealione daca, rerum demonstrari h. c. veri demonstracionerum EDif.
Et desso
alcem indirectam inchoari) acqs ica quod res sie, ex co quod falsu sA
non sic (h. c. quod alias absurdum accideret (inon cNer) per
deductionem ad impossibile ostendiposses sed e imprimis
rerum quoqne Calsarum derebus falsis verissimas e oAtensi-
ras dars demonstrationes, r. 8. si diamerer est commensurabilis
costae (nySueror) paria sunt imparibus aequalia (Enourvor) Arist. I.
c. Quoniam enim infinica aepius absurda cum Falso (ubie.
eto, iponacur ese necessario lune connexas igitur FHaca ab.
Surdorum de (ubicao falso rera, certa, necessaria, necessum
est esse Arist. lit. 5. MetapH. C. 27. Fequoniam absurda, ple-
rumquecertis excausis, non immediare, Falso conveniune
subjecto, s exris deducta fuerine, ee sic aliunde indubieato
cornoscantur, quis ea de subjecto demonstrata eRenegabico
Tancum abest ut subjectum Conclusionis demonstrativa semper de-
beat esse necessarium
S. 7. Sed de falsisrerum quoque demonstraripolecer. Et de faiso
eis in calibus exinde collisere quis poser, quod ex FaIsis re- Borums
rum lequatur, V. 8. Si POnReuE, Omnem hominem esse lapidem, (5 l0s.
omnem adamancem esse hominem, quod verumque Faltssimum
elt, demonstrari pocestomnem adamantem esse lapidem, quod
estrerissimumr. Sedhienorandum cAt, adamantem esse lapi-
demhic non demonstrari reruesse, sed Calcim rere vel porius
recte sequi exprae suppositis: velhoceTacum can quam enoue.
rer simplex ipsis prioribus conjunctim posicistanquamizs-
REVC