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: 0.82.

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

The machine reads it as

  1. DF CTSSOTDE.
  2. Esaurem (Per Supra demOnATACA) Series D V a in V: D= a
  3. sive series DVa in seriem N’a inverse, ad seriem aequalium
  4. uE F ad 4 B: FC N a in V a inverse, ut 5 ad 32O: FLGOD V a2
  5. V a in V a inverse; UE
  6. 40
  7. 32.D 2d 1; hoc est, ub 3 2d
  8. 32B. AC series magnicudinum ad aequalium seriem, inventa est
  9. uc 2 ad +D. ErBO, PTOPTCT
  10. 1F 32D (83 distancia, ad di-
  11. Ranciam, uc 3 ad 8. Distantia ieaque linex ceneri gravicaris hujus
  12. semisolidi circa F A, ab ipsa F A, 3 iltius rectae qua est ad FC
  13. uc diameter ad semiperipheriam circuli.
  14. Denique, Si Spaciumillud Cissoidale P C Z A F converei in-
  15. celligamus circa rectam C F: Circuli radiorum J. L, (quipre in
  16. radiorum racione duplicata) erune series
  17. D= ad DuXe 2d seriem
  18. aequalium, nempe corisem circulos radiorum D vel C F, ratio-
  19. nem habenc intinicam; aeleoque est intinicae magnicudinis. Ouod
  20. Sic colligitur. Series ad inverse ducta in
  21. Series, 1. a. a
  22. rationes
  23. 1. 5
  24. r
  25. a.
  26. TXI TZIZZ EXELZXZ
  27. a. Qc. dabie
  28. TXEKZXZX4
  29. A 4X5. AX5X6 AXGX6X7 AXGXOX7YB
  30. dc.
  31. CUM IGIEUTFATIONES CONFINUENEUE (UE PaTCE) mulciplicando
  32. 2 2
  33. proxime praecedentes per 3, 533, uc. hacum prima mulciplicare
  34. debet praecedenrem per 2 qus igicur eNet Z) + (5. Adeoque se
  35. eieseadem a inverse ducta in seriem =, (hoc est, series
  36. et ce
  37. ddene Dua a
  38. racionem haberer ad seriem aequalium q ad. O: quae est infinita.
  39. Eplumque solidum proprered esser magnicudinis infiniex. Quod
  40. irem oltendendum erac.
  41. Ci t
  42. Sed e propcerea, momentum plani Ciloidalis F CZ A F
  43. respectu FC rectae, essec ad momeneum quadrati F C, vel D
  44. uc 4 ad 0, (propcer planorum momenea lolidis convectione Fa-
  45. etis provorrionalia,) hoc elt intinicum. Er consequencer, cumm
  46. spacium cirmaenitudinis finicae, distancia cenesi gravicacis esset
  47. ntimca

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/85138403X:0104?run=74