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. 18

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: 0.84.

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The machine reads it as

  1. D
  2. CtC2eo
  3. caCUI 9g rectae CC parallela: Pric cenerum gravicatis porcio-
  4. nIS expolica FGEC C inrecta 97. Sed _c. (quod tamen ad
  5. praesens negocium quaesitu non elt necellarium, ipsum enim q
  6. punccum jam invencum nobis Cutticic,) Idem gravicacis cenrrum
  7. est in recta Fn, (quippe quae per omnium 25 parallelos rammorum
  8. centra cransic, ipsique rerera F. C in annulo respondet;) erso in
  9. eorum communi puncto r.
  10. 58. Si itaque ut rectam F X in y, vel F C diametrum BasS
  11. Cxtindri in g, ica _ F. C arem annuli dividamus in 8, (quod
  12. Temiannuli CeNTPUM GTAVIEAEIS eNeT dCMPEA CUTVATUCA:) ip CaI-
  13. que Fg = E D dividauS ITCTUM (PFOPTOF CUEVATTaM) in 63,
  14. ita ve lit F Cs ad F8, uc circuli diameter ad lemicircumferen-
  15. tiam; erit C cenerum gravicaris semiannuli ex semiconvertione
  16. circuli F C circa A F rectam. Habetur itaque (quod 5. 45.
  17. suxponitur) semiannuli centrum gravieatis C. (nempe, uc Z P dd
  18. D, sIC F 3 = 5 D ad =
  19. 5D2
  20. 4
  21. C
  22. D = F G.) FF CONSEQVENEeT, PrOPEeK
  23. (6~ eric
  24. 7 D2
  25. R2
  26. 5∞ 3 vel - = F AA8. 1. di-
  27. Rancia centri gravicaris solidi (Pemiconvertione semieycloigie
  28. CIFCA A F Facti) ab A F.
  29. 59. UE aurem habeatur P, cenerum grarieatis remiannuli ex
  30. simili semiconvertione Pemicirculi, Pumenda adhue exit, a pon
  31. cto C jam proxime invento, recta GF (bali varallela) quae
  32. canca CIC quanca distancia ceneri gravicatis semicirculi FC d cir-
  33. culi CeHErO; quae nempe BE ad Z F C (sire Z cadii) ucF C ad
  34. F A, SIVCUE D ad Z P.
  35. 60. Ouod aurem 5. 57. probandum susceximus, Nempe omnes
  36. cubos rectarun Z Z ad coridem cubos C F, eNe ut 3 ad 321;
  37. sic oltenditur ex nostrae Infinitorum Srichmeticae principiis. Si
  38. ponamus diamerrum PC == D in parces aequales numero infini-
  39. eas dividi in punccis Y3 CrUnE OIHeS F Y = a series intinica,
  40. Primanorum, sire Rrichmericae proxortionalium, quorum maxi-
  41. mum est D; quae in YC = D = a respectire ductae, dane RC-
  42. Sidua a D = a = omnia rectanoula F C Y, hoc est omnia Ouadea-
  43. ed X2; quae ad toridem D = sunC F ad 6: Rehduorum vero
  44. Quadeata, hoc est rectarum Y2 Biguadraca, ad coridem D +, VE P
  45. ad 30; Residuorum cubi, hoc est rectarum Y2 Porestates sextae, 1d
  46. cocidem

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 18. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0034?run=74