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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 622

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: 0.86.

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

The machine reads it as

  1. FIX P E R BOL
  2. Constructio E demonstratio.
  3. CInc ABC, D F. F alymprocihy.
  4. Perbolarum OPQ, NST, po
  5. Crisque axibus BO F. NV ducancur
  6. OON R de quidistances atympro.
  7. eis AB, D F:i dico spacium intini
  8. EUM INTEE alY MPEOEOS ABC e
  9. lyperbolam OPO consticucum
  10. Vad spacium intinicum hyperbole
  11. concaua NSF, cam habere ra
  12. xcionem, quam aB C+ criangulum
  13. habec adcriangulum N F K. Rane
  14. concinux proporrionales BC, BHI
  15. BI,BC, dc. Factoque re BG ad
  16. BEI, sIC FK ad P L, ContinUICTUE
  17. FaTIO FR, E L in MI, XC F; erigam-
  18. curque HIP, IG, CR, deC. icem
  19. LS, M T, F V. _c. aequidistantes
  20. alympeoris AB, DF. quoniam
  21. igicur BC, BHI, BI, BC PrOPOr.
  22. cionales lunc, d OG, PHI, 1
  23. R C aequidistane asymPEOTO AB.
  24. aequalia lunc (comenca PC, H.
  25. R L,ecc. Sine cermino sic concinua.
  26. ea: Similicer aequalia Cune leomen-
  27. +g NT, SM, TP MMCtermino; seomenta ioicor OFL, PI,O C, ec. in infinirum
  28. simul Cumpea, id est cora hyperbola concaua O PO sine cermino producta, est ad se.
  29. 216. De EmencA inAniCa NE, SM, TF, RC. in infinicum, a ve legmentum OFI ad Cegmen-
  30. proressioni cum NL, id eAb fgura OB P ad Fsuram S F. N. vlcerius pOSITIS peF N et O, Con-
  31. b 1o. hu cingencibus Od, Na, ducantur illis parallelX per S _ P, linex ZB, y co. vt BC
  32. ius.
  33. ad BFI, id est ctTP ad OC, Scper hypochelim eAt F R ad E L, id cA SL, ad NR
  34. c74 huius. sed De OG ad PFI, (C O 8d 2d Pc de vENK ad SF, scN a est ad SZ, veici-
  35. lPer
  36. menca.
  37. cur Odad Pa, sC N a ad5Z, est aurem ve Od2d co P, sic ea B ad dB, id est v Bad
  38. c7+ huins. OB. _ VENa 2d5Z, SCZ F 2d a F, id est B F ad NC, isicur ve OB ad y B, (CNF
  39. adBF, ex F Natriangulum ad eriangulum EBZ, ve BOd ad Br acriangulum: sed
  40. est quoque triansulum BOd ad criangulum cP B, ve a N E criangulum ad eriangu.
  41. Ium ZSF, quia ioitur ee a N F crianoulum est ad residuum criangulum SBF, ve
  42. dOB ad residuum criangulum P Y B, ec ve dOB ad a N E, sic P q B ad S6 B. led
  43. FEX anc. VE BO dcriangulum ad crianoulum FN a siCFP Op seomentum ad seomeneum
  44. penulsima. S NB, reliduaigicur figura P O B ad residuam SF N, ek vecriangulum dOB ad
  45. aNE, criangulum, id est ex ance demonstratis crianoulum a P B ad criangulum
  46. 814. huius. Z SF, id est ve ance oscendi B P FT criangulum ad crianoulum LSF. id elc. BOC
  47. eriangulum ad criangulum RNTF. vide cum olcentum sc hyperbolas concauas,
  48. BOPOR, E NS TV in intinitum procluctas illam incer le obtinere rationem,
  49. quam tiouea PB O, S F DF, parcc esse ve B OC crianoulum ad criangulum R NT R SC
  50. BOP Ohyperbolam concauam ad hyperbolam F. N S T. Ouod erar polculacum
  51. 5.
  52. ac104.
  53. PROPOSITIOCLZXV
  54. Lpelbola Communem habences aiamcerum ccanlucllata, Ocaia
  55. Ccim posicas ex iildem erectas punctis, habent proporcionales; et con.
  56. Demon
  57. d eaae a eoea

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 622. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0679?run=74