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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 600

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: 0.72.

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

The machine reads it as

  1. e
  2. e
  3. ciizan ZsilicesE
  4. Constructio e demonstratio.
  5. Neer AB, AC media ponacur A P,
  6. hancque concinua, AP, AC, A C7, dico
  7. E terminum esse quaesicum. Fiane AFI
  8. AB, asymproci hyperbolx LR L, _ eri.
  9. Bantur BL, C. K, DF, _C. parallela aCym-
  10. Proco: Duoniam AB, AC, AD, AF ra.
  11. cionem concinuane proporcionis criplica.
  12. tX, rectae quoque LB, R CL D, M FEn _C,
  13. proportionem concinuant racionis cripli-
  14. Cata. Vndeb planum TC, eriplum elt pla-
  15. ni KD: de illud rursum eriplum plani L. P,
  16. _ lic inicaereris procedendo habecur progressio planorum in racione eripla: quia ve
  17. roi AB, AP, AC proporcionales lunt, ec ipsis A P, A C, cercia proporcionalis est ad.
  18. iecta A C ConcinuabanC A B, AP, AC, A C rationem candem: _ S ex P crisatue
  19. parallela asymptoco, BLPO, CR. OG, CrunE ipAS AB, AP, AC, AG proPOr.
  20. tionales, ac proinde in racione concinua. Ergo rario IB adOC, est lelquialcerara
  21. tionis FB, ad K C, 00lenlu quoin definitione r0. e rr libris. elem proporciones di-
  22. cuntur duplicara, criplicata, ecc. Ergo planum IC selquialcerum est plani TC, Sed
  23. toca prooressio planorum TC, RD, L F, _c. sese muruo in proportione eripla exce
  24. c86. depro deneium sesquialcera c est primiplani TC. erpo planum IG aguacuF cocI prOOTCMO-
  25. pressionibus. ni planorum LB, RD, L. F, _c. ac proinde linca OC cerminae prosrectionem pla-
  26. norum. Aequi progressionem planorum perpecuo comitarur progeellio racionis eri
  27. plicaca, AB ad AC, AC ad AD, Xc. ergo haec quoque cerminatur in C. Extri.
  28. buimus ergo, dc. Ouod erar faciendum.
  29. 102aS is
  30. PROPOSITIO CZXRV.L anii
  31. eiab
  32. A 5G) E. LLWB :B EsBSINCUL S. ∞.
  33. DOnacurrario AB, adt R C, quadruplicata rarionis AC, ad AD; ratio
  34. rurem, AC 3d, AD, quadruplicaca rationis AD ad A F. X SIC COn
  35. lequenter, huius vero progectsionis tinis siuc cerminus sic punctum F.
  36. ationem AB, adL C tore criplicaram eius, quam habet A C, ed
  37. C
  38. e b Demonstratio.
  39. 9 399511 91C)
  40. 13 ce111.
  41. i
  42. 11C L.lquii
  43. 15tee1S.leE.
  44. 2 c
  45. I1
  46. 13
  47. 112 CC. HE3. 3id
  48. iRecta ad A F normali AO, incec
  49. yipeocos AF, AO. brperbola
  50. deseribatur CHK, ex B, C, D, F
  51. _C, duCanCuE BC, CK, DF, etc. 2
  52. quidittancesalymproco A O. ve AB ad
  53. AC, hCKC, 2d C B; _ L. D ad RC BE
  54. C al AD, quadruplicaca cs iBiclE
  55. H Z D E R BOL A.
  56. eROPOSITIO CXKXLMMIS
  57. Oporccathuius progrestioniscerminum assienare.
  58. VTEratio AB ad AC, criplicata rarionis A C ad A D, ee rario AC
  59. ad AD criplicararationis AD ad A F, 8Ec. 15.
  60. rectatri AF
  61. A1. 32 (5 133CS C Cit B. C)
  62. ESFIIL IILB MMEMLEMM SE A CDIES ad L COr.
  63. 1n
  64. 3Z XF. Rficorna2
  65. l 1C 7 . et c
  66. Vnde, _ CC planum quadrupium est Pr D. Mmmicer ostendicue planum
  67. Eo
  68. 1
  69. 111F. 2C. CIV
  70. racio CB al HC, TatOMIS RC du
  71. L D quadruplum cMleplani L. L. de lic de cxetetidi Proereto ivicur suc est planrorum

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 600. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0657?run=74