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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. 54

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: 0.81.

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The machine reads it as

  1. DE CxCEBEVE.
  2. Sinica Teries Primanorum, sive Arichmetice proporrionatium, ut
  3. a, (vel eadem series in x dueta,) ele ad conrenientem seriem s
  4. qualium, uc 2 ad 2. Fadlem Primanorum series in seriem Reli-
  5. duorum D= a (hoc est in seriem A: qualium mulctutam serie se-
  6. Cmndanorum,) nempe aD=- a, est ad seriem Aqualium, uc
  7. Z Z ad F, (IVCUE F ad 4. F idem series Primanorum in Reli-
  8. duorum Ouadeata, hoc est, in D+, =2 a = D = Fat, nempe a D4
  9. 2a = DF a, ad seriem sgualium, eA uc Z - = + = ad F, sive
  10. UE F ad5. Fadem primanorum series in Cubos Rehduorum, hoc
  11. CA, In D6 - 3a2 D = + 3aF D= =a, HICMPC ADC =3a D= +3a3 D2
  12. 2 - 5 dd E, (IVC WEL
  13. 2d8. FE sic dein:eps, (ue hgillacim probabitur ex PFOP. 64.
  14. Arictm. Intu.) Nempe series Primanorum, respectire du-
  15. eta in
  16. Peric, 0. Unic. Resid. Ou: Rehd. Cub: Resid. Piguod. Residuoru, etc.
  17. dac Fa-
  18. tiones e 2. Z ∞ 2, 2 + E = =
  19. HIOC CAt . 3
  20. to
  21. 5. Z
  22. 4+ Em E + 163 _CC.
  23. _c.
  24. 53. Sin hi loci proparibus habeantur, de Hac consrua inter-
  25. polacio pro locis imparibus, (juxca progrestionis analoslam,
  26. prodibic ea quxe seguitur rationum serres. Dempe series Prima-
  27. norum a respectire ducta in
  28. Ceriem o. Recipr: UnITL- VRCR- RCh- VaCub. Ouadr: V: Sursol. Cub.
  29. Nesid. cum. duoruo duoru. Resid. hetid. Retd. Re(Id. ec.
  30. . 2
  31. a.
  32. 5
  33. 2
  34. aco
  35. 54. Adeoque series aV: D=a (nempe series Primanorum
  36. in Radices Ouadraticas Residuorum, ) erir ad seriem A qualium,
  37. hoc elt, ad eoridem D=, uc Y ad 3; (quod etiam superius demon-
  38. Crarimus alias F2, 23.) EF Periesa D = La in V: D= -a2: (iVC
  39. a N: DC = 3 a D= + 3 at D=La: (nempe series Primanorum in
  40. Teriem Radicum Ouadraricarum Cuborum ex Rehdius D = L a,)
  41. ad seriem Equalium; hoc ett, ad coridem D=, est uEL ad 5. A-
  42. deoque e seriee
  43. D2 V: D2 = a =: ad coridem D2, Crici.
  44. rem uc xad5. Ouod demonstrandum suscepimUS = 20. A -
  45. deoque absolvimus omnia gux ad cenerum graviraris superficiet
  46. ex
  47. dac ea
  48. ciones 0. 2

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 54. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0070?run=74