Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 59

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: 0.78.

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

The machine reads it as

  1. le
  2. 1ni
  3. eni
  4. 1e
  5. lu
  6. a
  7. Cap. X
  8. L+ l et L B l
  9. ille poticum; quia cunc iptius valor nondum +=
  10. INBOLLCTA, LLA GLaTENCL CTaT. NON LAMCN X2C
  11. acleo ablolure n CCHIATLI CFAE (In pratenL
  12. proltenne) hoc paclo proccdere, acli nulla
  13. alia mechodo qualtiOM relpondLrL pOEVCrI:
  14. Nam, quamris illud torcalle in dittic lioribus
  15. 22
  16. 22
  17. Problemuis non raro accicar, non camen adeo 23 = 3
  18. dillicilis Cl praeteneis qualtionis soluuo, quin 420 - 6
  19. uc poltic cura opem Algebra inveltigari. NCM.
  20. De hoc paclo. Si reliduo 2, TCLICUANEUT 3
  21. (qui nuperrime Paltach lolrebaneur) tiunc a
  22. (TOE erHO PAllade AUPLANLE pTOVCHETAHE) ho
  23. rum semiltis 2, ML AMerUS alium ad PaII2. 82 - 18
  24. dem altacorum; quibus si acjieianeur 3 C qui
  25. nuper solue tuerane Apoltini) tiunc 5, (10C 82 - 21 =
  26. ergo APOIIInC CMPIAMLE PTOVEHETANE:) hOTCMI
  27. DuS Si adjICTANCUE Z (que Mciper derracti crane
  28. 22
  29. Tolrendi sori) tunc 53, qui dyplance torc,
  30. 20 - 1
  31. e = 5:
  32. PrOVeNCTAHE; horum ergo semiAis 23 elt nu 22 = 23
  33. merus altium ad jorem allacorum; qui elt numerus quaelicus.
  34. cacis memique emersu il toturio lemel invelcisaca pollic etiam aliis hyvoctcl.
  35. cron semillem 23 de APeeM alculerat; quI.
  36. Ouamris alte In Bujulmodi Brinoris dittieulcaris leltionibus non sic absolure
  37. necectarium ne Mecodo BCbICd. Pel Aal . LiC Catttes lcili-
  38. bus applCAEL; nec OpuS LiC pO TinGnIIS quaItOnS Pattationibus loa eperatIO.
  39. num lerrem C novo ordiri. Verbi GrACA. SB CaLCHS HL PEUIS MIENEIBUS, d1.
  40. camus 3 alles rundem 1Epcrelle; CHlenc d = 21 = 3: ielcoque 8 l = 2
  41. BR-
  42. +=
  43. = 26
  44. &e R = 3. Si Superelsene 5 altes, cllene 8R - 21 = 5:; ideoque BR = 26, de
  45. R = 34. Lt Pariter laciendum erie si plures auc pauciores alles luperelse dicatur. Ve
  46. 8H - 21=
  47. 2
  48. 8R - 21 -0
  49. =
  50. Sccundo. Fuxta Alsebram sive Analyricen Recentiorum, qui non modo pro
  51. numeris ignoratis, led ee pro numeris datis, Cymbola substieuune, solutio prove.
  52. niec magis actiue univertalis. Verbi Gracia. Pro numero quaelico, CubsLIEIaEuE A;
  53. pro binario (quia nempe tuc aliquacies numerorum duplicacio) B, e deinde pro
  54. rernario (quia nempe 3 aliquoiies auteruncur) C, ee denique pro numero retiduo
  55. (qui hic cst L) D: peoxrellus erie hujulmodi
  56. B9A BC
  57. c
  58. _c.
  59. BCA - BgC - BC- C-
  60. Hlaec alitem symbola paricer praestabune quaesicum, sire quemlibet Dirorum allalos
  61. nummos duplare, criplare, quadruplare, dec. dixeris; (nempe incerprecando B.
  62. DrO 2, 3, duc 4 _C.) item sre cres, Quacuor, auc quinque _c. altes lingulis cracti
  63. 105, (nempe incerpretando C de 3, 4, 5, _c) e denique sive unum, duOS, TrES,
  64. Ccc. (nempe incerpretando D, de 1, 27 3, dec.) alles candem superese dClIS.
  65. Si enm quemlibet Deorum nummos duplaste dixeris, erie B= 2, B9 4, BC- 8.
  66. Si eriplalle dixeris, erie B = 3; B9 = 9, BC = 27, dc. Deinde l cuivis tres
  67. altes redeicos dixeris, eri C-= 3; li quacuior erit C = q dec. Venique li unum
  68. superesse dixeris, erie D = E; (I duOs, Cric B = 2, ec. Aded B ractala
  69. typocheli rarialca CTM IOLHLIOIIS INTErPECTaLO.
  70. BCA

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 59. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0079?run=74