Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 74v

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: 0.94.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 75r); this page is its left half.

The machine reads it as

  1. Obs. 8. Residuu Divisoris non est minus Residuo
  2. subdivisoris. Done minus esse, metietur Subdivisat
  3. Excessum Residui Subdivisoris supra Residuum Divisoris
  4. per observ. 7. Sed Residuum Subdivisoris mingi est ipso
  5. uc
  6. subdivisore ex natura Divisionis. Ergo Excessus Residui
  7. subdivisoris majori gure mina erit subdivisore. Metie
  8. tur ergo subdivisor, aliquid se ipso minus, quod absurdus
  9. Obs. 9. Ergo S Divilsor aliquo loco Proqressionis
  10. non habeat Unitatem
  11. alt majus unitate
  12. habebit. Si haberet, esset Residuum Divisoeris minus Resi
  13. duo subdivisoris, contra Obsero. 8. Si minus A Unitate
  14. seu Nihitu, subdivisor per obsero. 7. metietur differen
  15. fia Residnorum seu unitatem. Sed hanc nullus Numerus metis
  16. Obs. 10. Residuum Divisoris revocari potest ad Locum
  17. multo inferiorem in Cyclo subdivisoris qui vocetur
  18. Locus Criticus
  19. Obs. 11. Locus Criticus sic invenitur
  20. divisor Unitate minutus dividatur per Subdiviso
  21. remunitate Minatum. Residuu Divisionis erit
  22. Locus Criticus sit Divisor 77. Subdivisor,
  23. et unitate utrique demendo, dividatur 76 per 6. Re
  24. siduum est 4. Ergo 4. est Locu Crititus
  25. Proposito enim Numero 77. cum Evaestio movetur
  26. utrum ei character primitivi competat, inquiren
  27. dum venit utrum mz divisum per 77 du resi
  28. dui loco habeat Unitatem. Ergo per Observ. 9.
  29. Sisubdivisor 7. Loco 76
  30. M
  31. Divisor 77. eo loco unitatem habebit
  32. Sed adso Divisorem 7. primitivum Loco mo
  33. q12.
  34. m.B. m et est Unitas Ergo d ad Divisorem
  35. Loco
  36. N 6 72. (multiplo nujus 6) erit Resid. Uni
  37. fas. Pari passu igitur sequentia cum Residuis
  38. initialibus ambulabunt
  39. ut mo m: m m m
  40. 1.
  41. 2.
  42. m m? m m nit
  43. 2.
  44. 4. 1. 2.
  45. Ergo Residua Cocis
  46. me. e m coincidunt
  47. Ergo si ad subdiviso
  48. rem 7. Loco m Uni
  49. tas residua non est non poterit ad Divisorem
  50. 7y. Loco m residua esse Unitas adeoque ipsi
  51. 77 Character primitivi non competet
  52. jana opus est
  53. Obs. 12. Invenire possumus Compositum Divisorem
  54. cui datus locus Criticu in Cyclo subdivisoris respode
  55. Obs. 13. Nam si loco Critico subdivisor non habet
  56. residua unitatem p Observ. 9. d 11. Divisori Com
  57. posito eharacter primitivi non competet
  58. obs.14. Invenitur autem talis Compositus si subdivisorem
  59. multiplices per Exponetem dati loci Critici Unitate aucti,
  60. Ut: Ad subdivisorem 7. pono m m m. m: m m m
  61. Ita Residuum hic erit Unitas omnibus Locis Ternis
  62. 4.
  63. Ergo si datur Compositus Divisor, cui Charaiter primitivi
  64. competit, per observ. 13. oportet ejus Locum Criticum incidere
  65. in aliquem Numerum ternum
  66. Velim prius 3. esse Locum Criticum Ergo sumo pObs. 14
  67. 341. P7. multiplicatum Facit 28. Hujus Numeri Locus
  68. Criticus incidit in m p observ. 11. Nam 27. per 6. Diviu
  69. dendo R etiduum sunt tria. Sed ipsi 28. Character Numeni ppr
  70. dra
  71. eis non intra.
  72. lumie

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 74v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0148?run=74