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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: 0.88.

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The machine reads it as

  1. DF CISSOTDE.
  2. prop. 64 8 73 Prichm. Infin.) Fodem modo h respectire duca
  3. cur eadem series a a, in seriem at inversam, hoc elt in seriem :
  4. D- a: vel DE = 2 aD F a, Fiet series D = Va - 2D a V a t a Va
  5. vel D= V a 2 D V at + V a, quae est ad seriem Aqualium,
  6. Eirecoridem D= V D vel V D3, UC = - + F = ad F, sIvC VE 16 ad
  7. 205. Fesimiliter, Ei eadem series V a respectire ducaeur in ali: 5
  8. series inverlas, prodibunthae raciones subjecta. Nempe li series
  9. Na ducaeur inverse in
  10. series L. a.
  11. rationes 2
  12. hoc est
  13. 2
  14. 4
  15. 25
  16. 2X2
  17. a
  18. 10
  19. 205
  20. a
  21. 96
  22. a.
  23. 768
  24. 945 103950
  25. ec. ProdibunE
  26. eCo
  27. 2X2X4 2X2X4X6 2X2X4X6Y8.
  28. 3X5 3X5X7 3XGX7XG 3XGX7XGXIY _C.
  29. Si vero hi loci proparibus habeantur, e suppleantur incerjecti
  30. loci impares; ponendo, in locoterrio, (inter L e a,) proserie
  31. a a in a a inverse ducta, rationem L ad 2D (PeF PFOP. 167.
  32. rich. Infin.) Sicuc ratio loci quarti mulciplicar rarionem secundi
  33. per 5, e hanc ratio sexti per Z, 5c. manifettum est (ex consecu-
  34. cione seriei) rationem quinei mulciplicare rationem cerrii per z.
  35. e similicer in reliquis. Nempe series Na ducta inverse in
  36. Ceries
  37. a
  38. 2. Ya a. V a. a. V a3. ec. dabit
  39. cationes=)
  40. E 2X2 E X3, 2X2X4 +
  41. 4 2CI3 2T 3X5 2_ 6 3XGX7 2H XC
  42. Unde, in Prxesens negorium hoc salcem seligendum est, series va
  43. e V a invicem invesse ductas, ad seriem aequalium, sive ad
  44. D== V D cOrIES SUPEUM, UE = F X Z ad L; sive uc X ad 4V.
  45. Deinde, uc seriem v a jam perpendimus, rerpendamus simi-
  46. ticer seriem sa. La nempe ducta in seriem a invertam, hoc eAt,
  47. in D = a dac seriem D V a = a V a, vel D V a= a cui
  48. convenic rario 3 = E ad 2, sire 4 ad 35. Fclimiliter in reliquis
  49. NemPC

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/826605435:0103?run=74