Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 667

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: 0.82.

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

The machine reads it as

  1. PcOp. L. Se culm canr ctadiutis.
  2. Occr
  3. et es eA AB 1S C IL 5. LV II.
  4. YOcandum hic, (quo rectius haec incellisantur:) quod H Porestas quaelibet se.
  5. L. N cundum quam series instiuitur, (unde et Indicem sive Exponencem detu-
  6. mit,) per aliam cujusris seriei voceltatem mulciplicetur; Poceltarem Facie cujus
  7. Index sic Axgregato indicum utriusque aequalis: Vet Index Mulciplicata, tanto
  8. augetur, quancus est Index mulciplicantis. Vr
  9. X a=
  10. 0 = F
  11. a x
  12. f + =
  13. 0+
  14. a X a = a
  15. x a = a
  16. + 3 =
  17. a = a
  18. 3 =
  19. a X a =
  20. 2 X a = a.
  21. 0 + 4 = 4.
  22. a X a = a
  23. 2 + 4 =
  24. a X at = a.
  25. 2 F 4 = 6.
  26. Ouancicares.
  27. Indices.
  28. Onantitates.
  29. Indices.
  30. Ouanticates.
  31. Indices.
  32. Sin per alteram Poreltarem Diridatur Porestas aliqua; Oritur potestas cujus
  33. Index lic aequalis excellui Indicis porestaris dirisae supra indicem poreltacis divi-
  34. dentis: Vel Index Dirita tanco minuitur, quancus elt Diridentis Index. (Adeo.
  35. que si hric illo major sic, prodibit index NegatirS.) VF
  36. a) a CF
  37. 7
  38. 2) a
  39. C
  40. 4) a (a. a) à (F. a) a (=
  41. 2 - 2 =0.
  42. 2 -3 = 1.
  43. at) 2 (=. Ouanticales.
  44. 1= 4
  45. Indices.
  46. a) a C F. Ouancicates.
  47. F, 4 = 3. Indices.
  48. a1) a (. Ouancicates.
  49. 2- q = 2. Indices.
  50. Si irague intelligatur series poceltaris inferioris, per seriem poteltatis Tuperioris.
  51. respectire diridi; (hoc est, terminus primus illius, per primum hujus; secundus
  52. per secundum, etc.) orietur series ex Reciprocis aliqua, quarum Indices sunt Ne-
  53. Bacivi.
  54. Si cui incerim haec minus aehue explicaca videancur: Consulat, si libet, nostram
  55. Arichmeticam Insinicorum: ubi futiss traduntue.
  56. eulsi
  57. C LCL.
  58. Si intellixatur intinea setes Ouantorum, ab l cape serei (pula
  59. cocidet c auau eaesa eDMluS, ad Indicem lertetMl
  60. auctum.
  61. Idem continget, si, omisso termino primo, leu o, Series a lecunus
  62. termino incipiat; seu d quovis termino qui sic primo et secundo in-
  63. EPPDZ
  64. termedius;
  65. 0 vel 5) inchoatorum, e continue procedentium secundum leriem
  66. Primanorum Secindanorum, Terrianorum, ec. Subsecundanorum,
  67. Subtertianorum, ec. aliorumre modo detinitorum; corumre RC
  68. ciprocam: quorum ultimum datum sit: erie torius rario, ad seriem

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. 667. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0687?run=74