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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 628

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. FL Y P F R, B, C
  2. Porreat his policis altignare pun-
  3. ctum M incerlectionis rectae AM
  4. cum perimerro sectionis NCM.
  5. Constructio es demonstratio.
  6. CTaE Cx 28. huius rectA A MT parallela
  7. OP, que concingat sectionem in O. de pro-
  8. ducta verimque recta AM, vsque ad ay mpco.
  9. 10s, hac quadraro OP aequale rectangulum
  10. RMO. Dico punccum M Core incerlecrio.
  11. REM COIMLIHOM ECCEX AM cum lectio.
  12. nC NCM. Quod paree ex 14 huiusy dc.
  13. PROPOSITTOOLZZAMI
  14. N omni cono sectiones hyperboli.
  15. ex parallelae similes figuras exhibent.
  16. Demonstratio.
  17. PTE ABC criangulum per axem coni
  18. aABD C, AEGuCF F C+ lectio bal aequi-
  19. distans: ducta deinde A FI in plano crian-
  20. guli per axem. quae circulorum diameeris
  21. occurric in Iex HI, cum in eodem Anc
  22. plano, erigatur ex FI recta FTOnormalis
  23. ad BC, occurrens circuli perimetroin D.
  24. ducacurgue D A, occurrec illa circuli
  25. E F CPerimetro in P: iungacur aurem IF:
  26. denique secundum HYD, EI lincas plana
  27. ducantur parallela, qux cum AB linca
  28. conveniane in R ∞ L, e A C in O) _R.
  29. crunc isitur IFQ, RHIDa hyperbolX
  30. quarum diametri ROF, L R FI ad quas
  31. ordinacim polca (une IF, TID: quia vero
  32. aequidistane F C, BC, bitem YF, ITD ve
  33. AF ad FF, hC AHF eAt ad FTD: curlum
  34. allumpeo in IO puncto quodam P, Pona-
  35. EUF CX A PET P LInCA, OCCUITTENS L R qux
  36. in eodem cum TK, Plano cM in O: po.
  37. BANEUTAuEeM PMI, O N aequidistancestI.
  38. FID: cum isitur IO, R IT aequidistent:
  39. Ve OP adOL, sCRO cA ad RII; igi.
  40. EAEKPO rectansulum est ad rectangu.
  41. Ium RIO, VE LOR rectangulum est ad
  42. rectagulum L HIR: ICdVE R PO adXIO.
  43. Crtnius. Fectangulu C LHs Guauacu Ad quadraruM YF _E DE L. OR, rectangulum ad
  44. cer Ar.
  45. LHIR, lc OH quadracum ad quadratum L(D; quadracum isitur ON est ad HD,
  46. ve PM quadracum ad quadracum Lf: de PM. EF lince proporcionalesrectis ON
  47. HD: quia vero. Leeca suogue Propolrionales TunE RO, R HI: Agura
  48. eM. OIE simileslunctiguris RONI, RFID: similes igicur d lunc lyperbola
  49. redem. NF, RN D. Quod ctt .
  50. altouins.
  51. 616. vndo.
  52. mi
  53. eROPOSITIO CLXXXV.
  54. L LCC
  55. ue et t te e te us e s e e 1 s e e a e e e te e e e et e et i e e e ate le t e s e pi

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 628. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0685?run=74