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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. 102

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: 0.83.

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

The machine reads it as

  1. 2 l
  2. 2 R= a3
  3. R= a
  4. A
  5. a
  6. Curvarum FdBOrOS,
  7. ipla quadraca; eorumque radices AV:
  8. Ip(ae autem arcuum circularium differentix
  9. 22- Adeoque ur illae omnes, ad omnes HaS; (IC FI.
  10. lipseos expotux Perimeter, EGF, vel ABC, ad peripherium
  11. circuli IZ C, vel AF. (Ouod ee aliis Fllipsium speciebus
  12. Facile acCOMIOAABIEUE, VE MOx dOcCBIEUF.)
  13. Deinde, Si incellisantur cum Fllipseos illae, cum hae perime
  14. eri circularis parricule, in iisdem respectire a luis axibus dictap.
  15. eiis converei; unde tiac illic, Sphaeroidis oblonzi; hic, Sphaerx
  16. Superticies: Frir superticies illa ad hanc; UE OnNeS A V: 2 R=
  17. = a: 2d coridem R; CiVC, UCOTIHCS V: 2 R = a2. 2d 1O-
  18. cide R: HOc eA, (h incelligatur in parallelogramrO (H9. 3F.)
  19. AB RV2, _ A R = R, adeoque ar a, reliquaque uc in
  20. Echemace constructa,) uc P. C B a quadrantis circuli seomen.
  21. cum, ad quadeatum AR minoris semidiamerri. Sunc enim
  22. omnia brb rectangula, ho5 e RV2 + a in RV2 = a, h0:
  23. eHt, 2R= = a; UC rectarum FC quadrata: ad eOquC OmneS FC
  24. rectae, ut V: 2 R = = a2. Onod etiam ex prop. 124 Arich. InFin.
  25. Fulius PacebIE.
  26. Fodem modo, ad alius Fllipsum species res accomodabieur.
  27. Si hoc Calrem advereatur; In praesenti calu, Proprer LC L CPFD, 2.
  28. vel 29. aliquoras partes cum rectae FC tum rectae CP, eodem Cym-
  29. bolo delignari. Sin recta CF (quae porest exceltum quadrari axis
  30. loneioris supra brevioris quadracum) vel longior esset vel brevior
  31. GNa F C (circuli diamerer, vel Ellipseos axis minor,) puca uE
  32. TTadR; Polit a A aliguora parre diamerri circularis (ur PriuS,)
  33. CriC A eadem pars rectae C F: Adeoque prO
  34. Eumendum erie
  35. R. A
  36. (27
  37. R mad F A
  38. X = a Y p2 42. Adeoque Sphaeroidis illa su
  39. perticies, ad superkiciem SphXrX, CTIE UE OMNeS V: R 2 + 1I2 -
  40. t
  41. m
  42. Spharoidis
  43. oblonei su.
  44. perficte
  45. F18. 3F.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 102. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0118?run=74