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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.
Onanritare.
Falcim octenditur, e quidem per principia (geomerrica) ip(1
generi (sphaerae ncsic) conveniencia. Oualem quidem de-
monstratione macaris saltem subjecti terministaciletrans
Formare pollumus, ut explicice st generalis. Interim quia
Propolicio de specie formaramelius incellisipotest, quam s
generalis esser, e aAectio singularem in hac specie potius
quam in aliis meretur consideracionem, doctrinae commo-
dicatem magis quam regularum analrcicarum rigorem it
talibus obserrandam esseracio suadet.
5. 3I. EV. Si fueris actriburum pluribus commune actu vel Vel Parti
Potentins illudsi falem in specie de hecvelille suhjecta per principia culario
reculiarias qua haboe estendatur, vera oris demonstratio sed par
icula Parit enim parcicularem quidem, sed veram de
Bac specie seienciam ex cansis necesariis huic speciei conre-
nientibus, in qua Exepiusetiam cogimur aequiescere. Sapi
isenim vel ipsa deheiune communia principia; rel subjecta
nondum omnia lunc explorata. Incerim si parricularia sine
in prompen principia, quibus communis affectio de uno ec
altero ex illis porestostendi, quis adeo morosus eric, utca
non aeripiac, atque ita particularem incerim scientiam sibi
comparec, cum universalem nondum liceat d Sane Aristo
reles Eclipsin ex obAructione lucis muruatitix per incerpol
rionem cerrx de Luna putar commodissime demonstrarii e
andem camen hodic de Terraper interpositionem Luna, de
quo Fortan Arist. non cogicarie; d de Circumjovialibus per
incerpotitionem foris, quod Aristoceles plane ignoraric, a
deoque de pluribus subjectis in eodem genere conrenienti
busaeque certe a perfecte demonstramus. Ouid? quodex
demonstratis particularibus lapius ad demonstracionemu-
niversalis Bruatur accedus, utiect apud Fuclidem lib. 5.
PrOp. T. 2, 3. 4. 5. 6.  12, 23, 24. _C. FF in ProblematibuS
praelertim ronoxrarrs specialicer per distinctos casus _ mo-
dosproeredimur, cum rect a procedere non quimus.
5. 32. Sedhicbene notandum est, 2 indesse arcriburum Carame
plaritus necesserio conveniens de hoo vol illo subjecto pen causas
est ipsig 862
quat per
sctentia no