[Idea Totius Encyclopaediae Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea] Erhardi Weigelii, Prof. Publ. Idea Totius Encyclopædiæ Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea, fol. 90
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.88.
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The machine reads it as
- 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
Cite
[Idea Totius Encyclopaediae Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea] Erhardi Weigelii, Prof. Publ. Idea Totius Encyclopædiæ Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea, fol. 90. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851385079:0102?run=74