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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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De FGporhest Demonstrariva.
Sect. 2.
lem. Prop. 12. Sed res eodem recidie, modo actendatur, pro.
policionem illam 2r. libri 7. Flem. qua tanquam orte demon-
strationis principio hic acitur Fuclides, hoc loco raleres
non quareno adnumeros incer se primos e absoluce mini-
mosrestrica est, sed gnacenus ejus praedicatu (agne meririnu-
meros ejusdem rationis) quibusrisnumeris minoribus, quire
Spectire CnEminImI UE FUNE 4. 8. FCSp. 12, 24. 20. 40. Comperie.
Et licer eriam Fuclides h. l. afectionem generalem obcertas
eaulas antonomaRice de cerranumerora specie demostran-
dam sibi Cumhsec, CiaXt25. 30. C aP. 6. Sect. 1. RuI uS) alix C2-
men speciestioc ipsono excluderentur, ecto quod Ctaris in ex-
rore tuo procul dubionon Fuissee contirmatas nisi per hujus
propolicionis anronomasticâ demonstratione fuisset dece
peus, cujuserroris eritandi gracis bene monuit Arittoreles
Proposicionem demonstraciram debere semper ee nabon
_ nab av W1. POT. 5.
5. 23. Incerim Fuclides in demonstronda propolirione
principio 12. lib. 9. Flem. pro hrpochesi destructira non supponit Nu-
antonama merorum continue proportionalium proximum ab unitate cum
assumpta quovis primo intermedio primum eriam adeoque incom
mensurabilem esse, quandohos ix los duosincer se commientu-
rabilesese rultostendere, sed potius expresse praemisâ (quae
parssubjeci propolicionis est) hypocheli attructira, quod as
sumptus intermedius ulrimum mensurer, absque ulceriorihy-
Dochesi per rera, cerca, necessaria principia causasque con-
elutionis, pocissimum vero mediance prop. 2r. lib. 7. P. lem.
priusjam demonstraca, sed hic generalius incellisenda nem.
De, Quod Numcriminimi(respecu) omnin eande cum ipsisratione
habenein (prxlertim s sinehoru sibi proportionaliuno par-
res, sed Taltem pars, quales fune2. 4. respectu 8. 16. non vero
quales 3. 6. relpectu 8. 16.) meriantur aque omnes, numeros can
dem cum eisrationem habentes, major quidem majorem, minor ve-
rominorem, sire primi sine inter se, (ur5. 6. respectu50. 60.)
are compositi, (uc2. 4. respectu 8. 16.) ostensire demonstrar.
quodassumpeus intermedius etiam preximum ab unitare meria
BATS
Eiset ex,
Picofiat
Syllocisa
18