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. 88

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DF CTSSOTDE.
  2. EstaureM (Der TuPTA demOn AFAFA) Series D V a in V: D = a:
  3. live series Daa in seriem v’a inverse, ad seriem aequalium
  4. uc 2 ad 4∞. EF V a in V a inverse, uc 5 ad 32O: FrgOD V at
  5. 40 u
  6. V a in V a inverse; uE
  7. 82D 24 2; hoc CA, uc 3 ac
  8. 32 D. Ac series magnicudiuum ad equalium seriem, inventa est
  9. ut L act 4 D. EKBO, PrOPEeC q F 32 D (83 dictancia, ad di-
  10. RinEiam, ux 3 ad 8. Distantia icaque linex ceneri gravicaris hu, uS
  11. semisolidi circa F A, ab ipsa F A, 3 iltius recta quae est ad F C
  12. uE diamecer ad Temiperipheriam circuli.
  13. Denique, Si spatium illud Cissoidale F C Z A F converti in-
  14. celligamus circa rectam C F: Circuli radiorum L. L, (quippe in
  15. radiorum ratione duplicata) erune series p quxe ad seriem
  16. aequalium, nemperoridem circulos radiorum D vel C F, ratio
  17. nem habene intinicam; adeoque est intiriex magnirudinis. Ouod
  18. Sic collisitur. Series a inverse ducta in
  19. Peries, X. a. a.
  20. FaciOneS.
  21. 2 a.
  22. a. Qc. dabie
  23. E ExE TXIXZ EXIZLKZ EXIXZK3Y4
  24. 4 4XS AXGXO AXSKBKZ AXGXOX7X8
  25. ec.
  26. CUM IOITUFFALIONES CONFINUENEuF (VE PaceE) mulciplicando
  27. proxime praecedentes per 5, 537, Qc. harum prima mulciplicare
  28. debec praecedentem per L queisitur esset 2) E (S. Adeoque le
  29. ries endem a inverse ducta in seriem = (hoc est, series-
  30. rationem haberet ad seriem aequalium 4 ad O: quxe est intiniFa.
  31. Iplumque solidum propcerea esset magnicudinis intiniea. Quod
  32. ivem oltendendum crat.
  33. Sed ee provierea, momentum plani Ciltoidalis F CZ A F
  34. respectu FC reCX, eNet ad momentum quadraci F C, vel D
  35. uc 4 ad 05 (propter planorum momenea Tolidis convertione Ed-
  36. etis proporrionalia,) hoc est intinicum. FC conseguenter, cum
  37. Pacium sic magnicudinis simita, dictancia ceneri sravicatis esset
  38. InMMILdS

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 88. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0108?run=74