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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1060

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: 0.89.

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The machine reads it as

  1. 1060
  2. GONOTDES P AR ABOETCVH.
  3. De planis parallelis quae conoides parabolleum intersecant.
  4. eR OPOSITTO CXLIN.
  5. Celtoles patallele in conoide parabolico similes Aguras exhib ent qua
  6. Demonstratio.
  7. aequidistane bale sectiones, circuli sune, et
  8. concequenter Agurae similes. Si cum baM
  9. CONCUFFuNE, crunE elliples. octendendum ai-
  10. cem est illas esse limiles. AaC plaMUM A C F peF
  11. axem conoideos rectum ad plana parallela
  12. ABC, D E FsCrUNErCCtR A C D Faxessectio.
  13. nUm ABC, DF. F: divilis icaque AC, DF li-
  14. neis proporcionalicer in FI e O, crectisque
  15. HI B, C P normalicer ad planum A C F, secun-
  16. dum illas rectas FIB, CF. plana ponancur b al
  17. conoideos parallela, ac proinde recta ad planu
  18. C AC: nempe plana IBR, L F M. quare de
  19. per detin. 3. Vndec. eruncBFI, FC normales
  20. ad rectas KD, AC, ML, DF. rectangulum
  21. cAFTC est ad D C F rectangulu re CAtLFLK
  22. ad L. CM rectagulum, hoc est quoniam BFB
  23. P Cnormales Suncad diameeros DR, LMI, vE
  24. quadracum AB ad OP. sune isicur ABC.
  25. DE F elliples smiles iuxea definicionem et
  26. Larum per axem conoidis rectum
  27. ad quamlibet aliam sectionem, il-
  28. lius sectionis axem exhribebie.
  29. Demonstratio.
  30. Vplex hic est calus: alter quo sectio ad quà
  31. arium per axem est rectum, axi xquidi-
  32. Aat; alcer quo axi conoidis occurrie.
  33. Ponacur primum lectio C: C F, ad quam pla-
  34. num Peraxem K AY rectum est, aquidictare
  35. axi. per axem ponatur planci L ATI, parallelum
  36. plano CCB, CruncerSO AB, C D communes
  37. sectiones plani R AI cum planis F A FI, OCF
  38. dparalLelE. Ouare cum AB, veporc axis rectus
  39. Hc planO R FL, cric c e C D recta cidem pla-
  40. nO. ergo CD normalicer (CCAE F C,, que est
  41. communis leco planorum OCF, K F I. Inlu-
  42. Pauns C. L, Cidem paraltelum, plane
  43. Lu ett. est aurem ex planum R AL
  44. rectum
  45. aALBCCUTTUIHE.
  46. 137. hA -
  47. B140. hu-
  48. E Por 138.
  49. viis.
  50. lixscon similium.
  51. PR OPOSITIO CXLV.
  52. per planum F A FT, F rectum cA planO RPI.
  53. d16. undbs.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1060. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1117?run=74