Leibniz Legible

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: 0.83.

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The machine reads it as

  1. Et HNanouds
  2. rvaneur, quo supra, ab ipsa Parabola, Semicubicalis. Si enim in-
  3. telligatur A D P Ag. 25. Paraboloides Biguadraricalis, vel Bi-
  4. cubicalis, Nc, adeoque dP, uE Ve d L, ve d L, ec; erir de,
  5. ut d v dE, d se d~, 8c, hoc est, uc 1
  6. 1E 860
  7. Eubuiseaes autem eas capaces, (ne gratis dictum videatur) paucis
  8. oltendemus. Ponamus aurem (quia generarim agendum cst) n
  9. numerum porestacum quemris, _ n =n t L, i = n n C, _ 5 = Z. d
  10. et = 2 i. LO AUCeM CUrVa rectiticanda AO (A0. 28, Vel26)
  11. Parabola vel paraboloides quaris quae ica constieuatur uE do
  12. vel AE BC P = Vm du L, adeoque A d vel cO, d = Vn
  13. em
  14. C VnPLi PONaMUS IIE (quO FaCtIONES VIFCNEUT) UE v
  15. adm, siC K ad Z. Invenierur, eodem processu ouo nuper, Fc. 36
  16. (propcer d A ad dF, Fire CS ad E A, ut n ad m: quod universalicer
  17. demonstravimus ad prop. 23, 46, 49. C on. Sect.) cE, ad00 vel Oc, uE
  18. XC ad V: K2 + Is pZI: Adeoque, sI PONAEUF A9, 28. AH R,
  19. _ EK V: X~+ VS pFI: EEIC AE T A K rectangulum, ad
  20. T A Xx quadrilineu; SC Fecta A T, Ad A O CUEVAM. AC-
  21. que hoc quidem universalicer, sive (E n numerus par, sire imPat,
  22. sire cciam Fractus.
  23. Duocies aurem n est numerus Pars crilineum R _ S, (adeo-
  24. que T A Rn quadrilineum,) quadrari posse (adeoque e AO
  25. rectiticari) sic octendimus.
  26. POnamuS K s quorlibet aequaliter crescentes, quae sigillatim
  27. dicantur a (quarum maxima (iC 1:) quibus respondenne roridem
  28. sn crilineum x s complentes. LA aUTem a (= EK = A H)
  29. V: R. + SspFI: nn K; adeoque a +R = V: R + Is pFI:
  30. ECa F 2 a K + K= = K 2 + V5 pLI; _ a t Z AR = Vs pLI
  31. Cujus aequationis ueraque pars mulciplicata se cundum exigenciam
  32. POrectatis s, dat S: ad F 2 a K: = p LI: adeoque
  33. a + 2 a R.
  34. P= AF= SH, Gux omnes complenE H u s crilinium: quod
  35. AEaque (quancacunque sicporeltus S numero incegro delignanda)
  36. quadrari POTCTIE. L18O ∞7C.
  37. CPIE

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/85138403X:0129?run=74