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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 125

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: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. CF.2L aLC A.
  2. nam magnitudinem. (s
  3. Ecuris sic positis terminum
  4. quidem ad quem bases illa-
  5. rum ficurarum excurrent
  6. scilicet L, per praecedentia
  7. reperremus; in heterozenea
  8. vero illius seriei (ita enim
  9. lubet appellare) quam figu-
  10. rae similes similiterq; ex ex-
  11. era se positae componunt,
  12. coentionem non veniemus,
  13. nisi ficuras has similes simi-
  14. literque extra se positas, ad
  15. illas revocando, quarum
  16. primacum secunda, e se-
  17. cunda cum tertia, ex sic de-
  18. inceps vnam aliquam maenitudinem constituit. Ve si exempli eratia sint ficura A B,
  19. BC, CD e similes similiterque ex extra se invicem posicae; harum termini in infi-
  20. nitum continuataru sumpti maenitudinem non vnam aliquam, sed acereeatum quod-
  21. dam ficurarum constituent: siicitur maenitudo huic seriei ficurarum aequalis quaeratur,
  22. oportebi ficuras similes AB, BC, CD, DE, C∞ C. ad ficuras MI N, NO, OP.
  23. ec revocare. quae figura W N, NO, OP magnuudinem unam constituunt; 53 si
  24. proporrio MI N ad NO, e NO ad OP continuata terminetur in R: erit MIR
  25. tori seriei proeressionis fieurarum AB, BC. e c. aequalis; quae omnia sequenti propositio-
  26. ne demonstrata fient clariora.
  27. eROPOSIT1O CLAIII.
  28. Acaleitur lic lecunal generisprooressio AB, BC, CD, L, aC.
  29. conslata ex similibus cerminis similicerq; e in directum poliris, (1-
  30. uc planis, sive Colidis, e quidem planis vel Colidis cuiuscum que generis.
  31. Dico omnes prooressionum proprietates luperiori parre demonstratas
  32. huiulmodi ctiam proeressionibus convenire, ac proinde propolitiones, in
  33. quibus illa propriccates demonstrantur, prorlus rniverlales esse: in hac
  34. Sicur demonstratione, progressio posterior hucheterogenea, reducieur
  35. apriorem CiuchOogenCam.
  36. eni
  37. ositio
  38. plare
  39. dina
  40. ect
  41. r4
  42. niti
  43. TuI
  44. CHit
  45. etius
  46. pant
  47. 20n.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 125. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0182?run=74