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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. 84

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: 0.78.

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

The machine reads it as

  1. DE C7SSOTDE
  2. Nempe series V’a inverse ductain.
  3. Teries (11 1. ad ( 2.
  4. raTIOIeS
  5. hOcC
  6. abi 5
  7. 222
  8. 5X7
  9. e
  10. 25
  11. a a dec. dabic
  12. 346
  13. 1d
  14. 45045
  15. _C.
  16. 2X2X4 2X2XAY6 2X2XAX6X8
  17. 5X7A9 SH7HOKIF SXZKGXTTKF3
  18. ec.
  19. Si vero hi loci pro paribus habeaneur, et suppleineur loci impa-
  20. Tes, ponendo (per inquilicionem modo Factam) LOcOTertio (inter
  21. = _ 4) rationem a. Uc racio loci quarei mulciplicat rationem
  22. secundi per=
  23. 2 ee illam rario (exri per Z; siC rationem lOci TerLII
  24. mulciplicabicrario loci quinei per 3, ratio cereii racionem primi
  25. 1
  26. Per 3; e de
  27. eta in
  28. series
  29. 6
  30. eliquis sumilirer. Hempe series a inverse dua
  31. C. V . a.
  32. e
  33. 242
  34. a a. a V a Ec. dat racio.
  35. X1.
  36. 2X284,
  37. 2
  38. A SAB 5X7 4C A 5X7X9 4 C
  39. x 3 X 5-
  40. 20
  41. ac.
  42. Cumigicurseries v a inseriem, inverse ducta; hoc
  43. est series a per seriem a a inverse divisa, hoc est divisa per
  44. V: D = a Sc ad seriem aequalium, sive D coties suPEuM; UE
  45. 5 44 ad E, hoc est, ut 6 ad 4 B, vel 3 ad 2H; FrunEomnes
  46. D a
  47. hoc est omnes L. 2, hoc est FC Z. AF spatium, ad
  48. Drories sumprum, hoc est ad D, uc 3 ad 2 H. Sed (Fer PrOP.
  49. 267 Arici. InFn.) Omnes V: a D = a: hOc eA L. K, hoc est
  50. CZ F semicirculus, est ad D=, uC P ad 217. Frgo Spacium illud est
  51. Triplum Semicirculi. Ouod erac ostendendum.
  52. Sed ex ex abundanti octendebam, Dicti spacii lineam centri
  53. Gravicatis rectx F A parallelam ab eadem distare sexrd parte dia-
  54. metri: Icem, Colidum Factum ex convertione dicti spatii circa FA
  55. uc arem, aequalem esse solido ex convertione FZ C semicirculi
  56. CirCa

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 84. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0100?run=74