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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. 101

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.

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The machine reads it as

  1. Et HINANONO 5.
  2. HE FEF circini ductu descripea in superficie minoris; e semisis
  3. FCF semiellipseos in superticie majoris, A in FlanuM UETaquO
  4. ExPANAATUF, CONSTUCNE.
  5. POrrO (i incellISREUE, nOn jAM F R uE in A8. 7, hOc eA F ZC CurvaEL
  6. Ag. 2. sed F C uE in A9. 20. sive CF, vel C F recta, vel etiam sipsees
  7. FF, A8. 29. dividi aegualicer; adeoque F A H5. 30. hOc eA FIG. 29. &
  8. F 2C Ag. 29. diridipro racione arcuum ordinacim applicacis
  9. sire Cinubus rectis aequalicer diltantibus respondentium: Leune (in
  10. Parcibus intinire exiguis) quaedraca parricularuM ABC CUTVX,
  11. huic diritioni respondencium; uc quadraca difterentiarum horum
  12. aEcuu, quadeatis aequalibus auSta. (Ouorum onnium radices,
  13. ad omnes illas vel differencias, vel diamerri particutas requales,
  14. TUINE, uE A BC curva ad rectam A F, vel ad F C: quibus qui-
  15. dem agcregaris proxortionales suxerticies planas, Facile est con
  16. cipere; sed non ica Facile ratione nota explicare, migIS QUAMI Fa-
  17. tionem currae Ellipseos, ad circuli vel peripheriam, vel diame-
  18. TrUM.) Sunt aurem illae arcuum ditterentix (proprer arcuum in-
  19. finice exiguorum ex chordarum quali- coincidentiam, ad eoque &
  20. centrorum gravicaris, urpore quae arcui ee chorda interjecta esse
  21. 2
  22. debent,) uc = hoc est Factum ex R cadio de diameeri ali-
  23. quoca parte exigua A, per sinum rectum sdivisum: (Ouod ex
  24. Acchimedis e aliorum demonstracis, qui superficierumm, Ephae-
  25. ricx e circum fcripeae Cplindricae, segmenta, Parallelis planis
  26. abscissa, aequalia esse octenderune, Facile colligitur: nempe R A
  27. sc, factum ex Radioin A, aquale esse Facto ex sejusdem di-
  28. Ctancia a diamerro, in c correspondentem curvae porriculam:)
  29. P. A2
  30. Adeoque illarum quadraca -
  31. qux quadratis aqualibus
  32. A= (PTOPTeF F C = C F) aucta, exhibent
  33. P
  34. + A=, QVa-
  35. drara parricularum CurVX AB C; eorumque omnium radices,
  36. CUEVaM iPSaM: HOC CC, (PEOPEeF Si N: R = at: TUMPTIS a
  37. verinque a medio, uE 2, 2, 3, 8c, succettive,
  38. R2
  39. A
  40. 0.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 101. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0117?run=74