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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 21v

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: 0.91.

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. 22r); this page is its left half.

The machine reads it as

  1. His positis problema
  2. Ut autem calculus in calculo facilius appareat progressio
  3. ad hibebimus pro literis characteres numerorum vulgares
  4. ne et sunt exempli causa literae tres propositae
  5. b. c. d. faliamus bp 1142O, 138, 14 15, P1GF 17+ 18L19+ 110 + 111 8
  6. X
  7. et c1 21 + 22 +23 +24 + 25 + 26 + 27 +28+ 29 + 210+2118 164
  8. ex praefixa dux Dujus
  9. et ita porro, ut ita statim in progressu calculi agnoscemus tum
  10. ex qua li quantitate sumtus sit character, tum ex reliquo
  11. vero agnoscemus quotus sit character in sua quantitate
  12. ita facile pervenicinus ad progressiones. in eo enim (V E14 16
  13. consisdit arcauum inveniendi progressiones ut charactere 417 (Ci,5
  14. ipsi initio assumti quandam relationem servent
  15. Illud tamen notandum quoties numeri fno neno
  16. integri rationales quaeruntur, tunc invertendum satius
  17. inverti valorem hoc modo
  18. S 111 + 110 + 15+ 1B + 17 + 16+ 15 +14 + 13 + 12 + 11
  19. quanquam sub generali illo in infinitum rendente
  20. et quantitates rationales, in tegrae contineantur
  21. ponendo sequentes in infinitum (post aliquol praece–
  22. es
  23. haract
  24. dentes
  25. valerenegu
  26. calculemus quasi b esset 11 postea quasi esset bfur2
  27. sed pro infinitis et
  28. deinde quasi esset bp 11+ 12 + 13, et ita porro donec
  29. appareat progressio
  30. Deinde quia in calculo hoc perpetuae sunt propositiones
  31. disjunctivae prout scilicet sequens praecedens s dextrorsum
  32. summa confecit excessit unitatem hinc artificio illo
  33. ad utemur transformandi aequationem dispinctivam
  34. ut duas aequationes dispunctivas
  35. in se invicem ducendo, quod hor loco nullum incommodum
  36. in simplicem
  37. facere potest, quia, nullae inde oriuntur. potentiae
  38. quaeritur ene generalis methodus
  39. expri quaedam relatu algorithmica inter
  40. si
  41. Exemplo utar.
  42. numerum et suum quadratum.
  43. veros numeres
  44. +16+15+ 4= 13+ 12 + 11 17 b
  45. + 16 +(5 + 14 + 3 + 12+ 11 b
  46. B te5 X, p (, 3 ∞) t 2 + 11 JB
  47. fune quadratum facile scribemus ope Deorematis
  48. siferatis aliunde noti, ex calculo literali commu
  49. est enim b, sit enim b ap b+c + d +C etc erit
  50. b H .b2 + 2bc sed charactitestice omnia distinore
  51. scribi debent eo ordine quo caracteres in progressione
  52. assurgunt,
  53. nmmrum
  54. 10, 6 D16, 2
  55. 1319 13 13, 17
  56. 1918
  57. il 21

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 21v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0042?run=74