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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. 424

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: 0.85.

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

The machine reads it as

  1. 24
  2. AR IPHMETICA
  3. P
  4. Dictor
  5. EV
  6. lajue hic obiter incidimus in numerorum Figuratorum (ut dici (olent) Specu-
  7. lationem insperatam. Sunt enim numeri omnes. (tam hujus quam sequentis Ta-
  8. bellae) Husumnou adamtoste lactus bigurari; puta Lacerales, Lriangulares, lyra-
  9. sequenti provoticiont Absuusa. LetC
  10. Palet eriam, (in ueraque Tabellaz) series numerorum sic inventorum trans-
  11. verlas caldem plane elle acque crectas.
  12. FX dictis autem liceo propolicionum aliquor prxecedentium summam (nemve
  13. midales, c. Ouod Cun es oora, monunm sutetal.
  14. de serie aequalium serie rac MCtata) in MMaH Laa CBHCtE quau
  15. ROP. CXX.
  16. Theorema.
  17. L exponatur infinita series aequalium mulctata analoga serie Pri-
  18. maniorum (vel si libet, Subprimanorum, quod tancundem ralet,
  19. Sublecundanorum, Subtertianorum, etc. Relidua ipla, corumque
  20. Ouddeata, Cubi Biguadrata, _c. eam cationem habebunt ad con-
  21. sruam seriem aequalium, quam habet. Onitas ad numeros in subjecta
  22. Tabella indicatos. Nempe
  23. Du
  24. Suopattorum
  25. Sublecundanorun
  26. Subtertianorum
  27. Subquartanorum
  28. Subquintanorum
  29. Sublexcanorum
  30. Subseprimanorum
  31. Subolaranorum
  32. 28
  33. 3
  34. 20
  35. 50
  36. 80
  37. 120
  38. 5
  39. 126
  40. 2dC
  41. T26
  42. 2F0
  43. 330
  44. 8
  45. 210
  46. 462.
  47. 330
  48. 702 j 7287
  49. 462 924, 2716 (3063 5005) 800
  50. 2002
  51. 3007
  52. 792 1726) 34326435 (L1440, 10448
  53. 165
  54. 220
  55. 495 12267,3003]6435172670,24.310 43750
  56. 9r5 1300315005(T24402432048620, 923781
  57. Subdecmanoum 1 F (+11 60, 286 11001 )3003 80081 29448) 43758, 92378) 184 756)
  58. Et sic deinceps.
  59. Ejro
  60. Subnonanorum
  61. Sequitur ex praecedente. Numeruo aIEHI Lava Gu LMICdIUS elt a
  62. prepatum ex duobus libi proximis altero Tursum altero ad dextram poticis.
  63. Nocandum etiam elt, cundem prodire rationis consequenrem in reliduorum Oug-
  64. dratis s auferantur Subtertiana, ee in Cubis si auterantur Sublecundana; irem in
  65. Sextanis s auterantur Sublepcimana, ec in Septimanis li auterantur Subsextana; e
  66. sic ubique, reciprocatis quali porestatibus, uc ex inspecta rabella patet.
  67. Sed

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. 424. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0444?run=74