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. 461

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: 0.81.

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

The machine reads it as

  1. EFOP. CLXXXVII. INFENETORAM.
  2. Fic pari modo in quibulris aliis illius Fabellae seriebus in quibus interpolatio
  3. pertecta elt.
  4. Adeoque nihil decs ad idem in reliquis Periehus perticiendum, (de speciacim ad
  5. quadrandum circulum,) nisi ut mechodus supplendi loca racua reveriatur, vel
  6. (quod eodem recidic) uc serierum ictarum proprius character in veniatur. Lt qui
  7. dem quamris non obrium sic incerpolicarum lerierum characteres invenire, tamen,
  8. quam habent illi ad invicem racionem, ex DrOP. Seg. innorelcet: ut liqua postimus
  9. aece eorum unum inregie, tlacI inrEMIentUE e reliqui.
  10. P ROP. CEXXXVII
  11. Theorema.
  12. N Tabella prOP. 284. VE posito seriei secundxe (hoc est, parium
  13. A prima, charactere i, reliquarum (ex paribus) characteres fiunt
  14. concinua mulciplicatione numerorum +X = = F 2, l + 2 1+ 38c. (ut
  15. dictum CA prOP. 278.) vel (quod tantundem ralet) F x =
  16. 21 + 4 21+6
  17. =eC. Sic, Posito seriei primae (imparium) charactere
  18. A, reliquarum ex impatibus characteres tunt contimua multiplicatio-
  19. RE MMETOruM A X = = =, 21 = c 21+3
  20. 21+ 5 8c. Adeoque ex
  21. horum uno coenito innotescent catim et reliqui.
  22. Nam id postulat analosia progrestionis arichmetiex, quxe e in Numeracoribus
  23. 19
  24. e in Denominatoribus conspicitur. Aeque id iplum comprobat inductio locorum
  25. omnium qui complentur; uc non sic dubium quin ee idem de racuis, Udicandum Sic.
  26. Adeoque ex imparium characteribus, uno cognito innoceseent etium de reliqui.
  27. P ROP. CLXXXVIII.
  28. Theorema.
  29. N Scricbus Labella Prop. 184. Siprum Ter Ha an A, B, B
  30. 7C, d, D, c B. ec. Sccundi (hoc cAt, primi parium,) I. Reliqui
  31. omnes (tam pares quam impares) hunt concinua mulciplicatione nu-
  32. merorum sequentium. Nempe il
  33. In prima a3
  34. In secunda AX
  35. In terria B
  36. In quarra B
  37. In quimea
  38. Impares.
  39. Ot2X 4X 62 8 dec.
  40. FX3X 5X 7X 9 ec.
  41. TX 3X 5X ZX O _C.
  42. FX3X 5X 7X O _C.
  43. 2X4X 6x 8x +0 eec.
  44. FX3X 5X 7X 9 ec.
  45. 3X5X 7X OXFL dec.
  46. LX3X 5X 7X d eC.
  47. 4Z6X BXXOX T2 8C.
  48. TX3K 5Z 3X 9e
  49. In SeNIa C, S XHX OXHL N L3 etc
  50. In Seprima 8
  51. EXZX 5X 7X 9e
  52. IxBXTOXTZLT4 eC
  53. LX3X 5X 7X 9 eC
  54. In Octava DF IXOKFEKL3X25 8C
  55. 2X3X 5X 7x 9 ec.
  56. Ex sic deinceps.
  57. EEc
  58. In 62 8X 2O BC
  59. 8x10 dic
  60. 2X 4X 6X C :2O eC
  61. QX FF eC
  62. 2X 4x Ox 8x1O etc
  63. 57
  64. BXTOXT2 _C
  65. ZX 4 X 6X BX 1O _C
  66. DXLLXZ3 _C
  67. Lx 4X 6X 8X1O _tC
  68. X
  69. 8XTOXL2X14 _C.
  70. x 4.X 6X 8F1O aC.
  71. 2X 4X 6X 8KLO _C.
  72. 2 X 4. X 6Y 8X TO _C.
  73. PTO.
  74. 2k 13X1) eC
  75. SRTOKT2 XL4 X 16 ec.
  76. Et I I 3

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. 461. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0481?run=74