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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. 113

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. Et HnaNOuOS.
  2. rIVANEUE, quo supra, ab ipsa Parabola, Semicubicalis: Si enim in-
  3. celligatur A P P A5. 25. Paraboloides Biquadraricalis, vel Bi-
  4. cubicalis, ec, adeoque d P, ut V d L, V dF, Vc; eric de,
  5. AE d N+ dL, d ~e dP, 8sC, hoc CAt, uE 1 =8c.
  6. EvDuioscs autem eas capaces, (ne pratis dictum videatur) paucis
  7. Octendeus. POnaMUS autem (quia generacim agendum eA) n
  8. numerum porectacum quemvis, et n =n F I, i =n = 1, C s= = 1. e
  9. et = 2 1. Lto aucem curva rectiticanda AO (A8. 28. Vel 30:)
  10. parabola vel paraboloides queris gux ita contITuaEuE UE d0
  11. vel AE CC p = Im dn L, adeoque Ad vel cO, d= Vn
  12. Dnt
  13. E
  14. B, VAPLio POnAUS IceM (quO FactiOnes ViCeneUF) uE n
  15. adm, (IC K ad L. TnVeHICEUT, eodem PrOceNu quOnupeF, H8. 36
  16. (proprer d A ad dE. Eire ES adE A, uc n ad m; quod univertaliter
  17. demonstrarimus ad prOP. 23. 46. 49. C on. Sect.) CF, ad00 vel Oc, UE
  18. X ad V: R~ + Vs pLI: Adeoque, (I DONACUEHB. 28. AR = K,
  19. _ CK= V: K L F VS pLI: FNIE VE Y AB rectangulum, ad
  20. T A Kx quadrilineum; sc recta AT, ad A O curVAM. AF-
  21. que hoc quidem univer saliter, sire sIE n numerUS PAP, SIve IMPAT,
  22. sive cciam Fractus.
  23. Quocies aurem n est numerus par; crilineum R n s, (adeo.
  24. que IA Rx quadrilineum,) quadrari posse (adeoque e AO
  25. rectificari) Sic octendimus.
  26. Ponamus R s quorlibet aequalicer crescentes, quae sigillicim
  27. dICAREUE a (QUATUI MAxIIA SE A:) quibus respondeant coridem
  28. SX erilinen K X S ComplenteS. FR AUTeM a (= CK = A H)
  29. V: K F SspCi: = XC; adeoque a t X = V: X a + 15. p LI:
  30. FEa =2a X + R = R + As PFI; _ a + 2 a X = V5 pL13
  31. Cujus aequationis ucraque parsmulciplicara secundum exigentiam
  32. S: a2 + 2 a R:
  33. Porestatis 5, dat S: a F2 a K: = P Li: 2d eoque
  34. = p= AE= SK, quae omnes complene R u s crilinium: quod
  35. itaque (quancacunque SEPOresAS. S’numero integro delignanda)
  36. quadesri POrCTIF. L18O CFC0
  37. LxCHI

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 113. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0133?run=74