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[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

  1. De FGporhest Demonstrariva.
  2. Sect. 2.
  3. lem. Prop. 12. Sed res eodem recidie, modo actendatur, pro.
  4. policionem illam 2r. libri 7. Flem. qua tanquam orte demon-
  5. strationis principio hic acitur Fuclides, hoc loco raleres
  6. non quareno adnumeros incer se primos e absoluce mini-
  7. mosrestrica est, sed gnacenus ejus praedicatu (agne meririnu-
  8. meros ejusdem rationis) quibusrisnumeris minoribus, quire
  9. Spectire CnEminImI UE FUNE 4. 8. FCSp. 12, 24. 20. 40. Comperie.
  10. Et licer eriam Fuclides h. l. afectionem generalem obcertas
  11. eaulas antonomaRice de cerranumerora specie demostran-
  12. dam sibi Cumhsec, CiaXt25. 30. C aP. 6. Sect. 1. RuI uS) alix C2-
  13. men speciestioc ipsono excluderentur, ecto quod Ctaris in ex-
  14. rore tuo procul dubionon Fuissee contirmatas nisi per hujus
  15. propolicionis anronomasticâ demonstratione fuisset dece
  16. peus, cujuserroris eritandi gracis bene monuit Arittoreles
  17. Proposicionem demonstraciram debere semper ee nabon
  18. _ nab av W1. POT. 5.
  19. 5. 23. Incerim Fuclides in demonstronda propolirione
  20. principio 12. lib. 9. Flem. pro hrpochesi destructira non supponit Nu-
  21. antonama merorum continue proportionalium proximum ab unitate cum
  22. assumpta quovis primo intermedio primum eriam adeoque incom
  23. mensurabilem esse, quandohos ix los duosincer se commientu-
  24. rabilesese rultostendere, sed potius expresse praemisâ (quae
  25. parssubjeci propolicionis est) hypocheli attructira, quod as
  26. sumptus intermedius ulrimum mensurer, absque ulceriorihy-
  27. Dochesi per rera, cerca, necessaria principia causasque con-
  28. elutionis, pocissimum vero mediance prop. 2r. lib. 7. P. lem.
  29. priusjam demonstraca, sed hic generalius incellisenda nem.
  30. De, Quod Numcriminimi(respecu) omnin eande cum ipsisratione
  31. habenein (prxlertim s sinehoru sibi proportionaliuno par-
  32. res, sed Taltem pars, quales fune2. 4. respectu 8. 16. non vero
  33. quales 3. 6. relpectu 8. 16.) meriantur aque omnes, numeros can
  34. dem cum eisrationem habentes, major quidem majorem, minor ve-
  35. rominorem, sire primi sine inter se, (ur5. 6. respectu50. 60.)
  36. are compositi, (uc2. 4. respectu 8. 16.) ostensire demonstrar.
  37. quodassumpeus intermedius etiam preximum ab unitare meria
  38. BATS
  39. Eiset ex,
  40. Picofiat
  41. Syllocisa
  42. 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