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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. 103

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: 0.79.

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

The machine reads it as

  1. a= FTZ
  2. R2
  3. EF HNaTVSUOS.
  4. ad cocidem R. Ideoque ponendum eric, A5. 3L. A B =
  5. : R + HI2: _ A R= IP (semilsi rectae C F (19, 29,) QuAEC
  6. _E2F= a TC
  7. FFIEqUe, UE PEIUS, HIE A BC R quadrantis ciE-
  8. cularis legmentum, ad coridem R, hoc est ad FYX R: SiC SuperH-
  9. cies illa Scheroidica ad Sphaerica. () C parres parcibus respe-
  10. etire proporcionales.) FHt aurem, ut patet, AB, ellipleos se-
  11. miaxis MdIOr; RC, Temiaxis inor; A R, dittancia foci a cen
  12. Ero, live rectaduae pocelt diferenciam quadracorum Temiaxium.
  13. Dicoisitur, Si in circuli quadrante enjus radius AB ellipseos
  14. semiaxis maior, ordinaum applicetur P C sem axi minori agnalis,
  15. e complearur A RC rectangulum: Eritnt RC B A quadrili
  16. neum ad AR C rectarentum; sic Sphaeroidis oblonei superficies,
  17. ad superficiem inscripiae Sphaera.
  18. Tnicelligatur jam Cplindrus F FC Z F9. 29, obliquus esse, cu- Spharoidis
  19. jus batis FGr circulus; _ FZC FIliplis, axi recta, cujus mi- lati superfi-
  20. nor axis FC. Cum ioitur, divisa FF circuli dinmerro in par- cies.
  21. res aequales numero intinieas, quorum quaelibee dicatur A, e F1g. 29. 30.
  22. Parciculx peripheriae (uc prius octensum est)
  23. _ harum parcicularum quadeaca
  24. t
  25. e
  26. RA
  27. d
  28. vel.
  29. s
  30. V:R a
  31. 2=a unde s auferan.
  32. cur quadrara aequalium parricularum rectae CF, pULA
  33. et
  34. X
  35. A (Tumpro Ccilicet, uE C F ad F E, SIC FY ad R,) erunE
  36. R2 a2
  37. R2 q. X2 A. Quadrata parcicularum FIlipieOS FZC;
  38. eorumque radices V. A. XI
  39. R = a p2 22: iptae particulae. DuX
  40. quidem urexque parriculae (cum Peripherix, cum IIlipleos,) i in
  41. suas easdem a luis axibus resrectiras dilcantias s= V: R= a
  42. ducantur: Fecta (sup erEciebus harum conversione circa suOs axes
  43. proporionilia) sune, illic R A; hic, AV: X - +. +
  44. 112
  45. AdeOquO

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 103. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0119?run=74