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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 83

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.

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The machine reads it as

  1. DE CISSOZDF
  2. PrOD. 64 _ 73 drithm. Infin.) Fodem modo si respectire duca
  3. cur eadem series v a, in seriem a inverlam, hoc etF in seriem :
  4. D= a: vel D= = 2 a D + a, ACF Peries D= Va = 2D a V at a Va-
  5. vel D= V a = 2 D V a + V a3, quae est ad seriem Aqualiu,
  6. sivecoridem D= V D vel. V D, uc = - 4 F = 2d r, sive uC 16 ad
  7. 205. Fcsimiliter, R eadem series V a respective ducatur in ali: 8
  8. series inverlas, prodibunc hae rationes subjectxe. Nempe h series
  9. Va ducatur inverse in
  10. series T. a.
  11. rationes =
  12. hoc est
  13. e
  14. 4
  15. 15
  16. 277
  17. a2
  18. 16
  19. 105
  20. 2X274
  21. a
  22. a.
  23. 14 96. 11 768
  24. _c. ProdibunE
  25. 945 103950 etc.
  26. 2X2X4X6 2X2XAX6+B1
  27. 3X5 3X5X7 3ZGX7X9 3XGX7XGXI Y _Co
  28. Si vero hi loci pro paribus habeantur, ex suppleaneur interjecti
  29. Loci impares; ponendo, in locoterrio, (inter I e a,) proserie
  30. a in V a inverse ducta, rationem F ad 2D (PeF PTOB. 167.
  31. Arith. Infin.) Sicur ratio loci quarei mulciplicac rarionem secundi
  32. Per 3, e hanc ratio sexti ver Z. 8c. manifeltum est (ex consecu-
  33. cione seriei) rationem quinei mulciplicare rationem certii per
  34. ex similicer in reliquis. Nempe series Na dusta inverse in
  35. Ceries
  36. rationes
  37. F. Ya. a. Va. a. Va. ec. dabie
  38. L, 2
  39. E 2X2 2 X3, 2X2X4 +
  40. 4 2EI 3 21 3X52_ 6 3X5X72 4 X3 X Z
  41. 6
  42. Unde, in praesens negorium hoc salrem seligendum est, series Va
  43. e V a invicem inverse ductas, ad seriem aequalium, sive ad
  44. D2= V D EOtICS SUPEU, UE - = X 2 2d 2; sive uE T ad 41.
  45. 11
  46. Deinde, uc seriem va jam perpendimus, xerpendamus sini-
  47. sirer seriem v’a. La nempe ducta in seriem a invertam, hoc est,
  48. in D = a dac Seriem D V a = a ~ a, vel D d ae = a cui
  49. conrenic ratio 5= 7 ad 2, sire 4ad35. Ersimilirer in reliquis.
  50. NemDe

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 83. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0099?run=74