Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 136

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: 0.87.

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

The machine reads it as

  1. SALLLSTTANT HNOENTL
  2. isochrosaliane pendulo lipisci datae longicudinis ar.
  3. 136
  4. duo passa, e paribus an-
  5. guliau Bminimi, sive insi
  6. considerantur, esse ad circulli circumterentiam; quia nempe ha-
  7. est, E punctum, cut asalitur trianguli BC, B D, sic idem cum
  8. puncto a; cum fucura sit aequarioy x V = b X - X X. AC proinde,
  9. hoc calu, si lumatur a O x = b, hoc est, x = AL, CentrOqueO
  10. per a circulus delcribatur a D N; erunt bales criangulorum a C,
  11. ciangul
  12. rut
  13. OSCKLLS
  14. C2ON13.
  15. da cenreo tum in capunctum B, affigere
  16. sulis abarc aB recedentia, qu
  17. nice parvi existimandi, quaeque, ita sulpensa ab a, oscillariones
  18. Flic, ducta cc perpendiculari in B c, e ponendo A B ∞ a; AI ∞ b;
  19. BC ∞ X; C C ∞ V: invenicur xquatioy x V2 a b. 2 a a - - a X t b X -X X.
  20. ex qua pater, balestriangulorum C, et D, quae baleshic ur puncta
  21. betur terminus simplex - x X
  22. Licet aulem hic animadvertek, quonta sic nihilo aequalis, hoc
  23. a D, ddillius circumFerentaIII. Cau cur quaelibet duo criansu-
  24. la acurillima, qua ex a ad circumterclan e Coulicuuntur,
  25. maonituame _ licu libi respondentia, centrum olcls s
  26. beant punctum L, politâ a L x = diametri a N; Cuqu CCuuS
  27. totus ex ejulmodi trianoulorum paribus componac; uti _ pOr
  28. eio ejus Ghaelibet, ut aCND, latera a C, a Daqualia LH, IIId-
  29. nifeltum elt, cum circulitorius, cunt percen gatens cuus,
  30. cenrrum olcillationis esse in L.
  31. Kurlus, li in aequatione inventa ponatur : a x usu v
  32. hoc elt, a criansula attisi e a ude lonsicudinem
  33. aL leca bitariam, crit y x V 2 a a - x x. Qua aquatio docer, quod
  34. Si centro B, radio qui possit duplum B a, circumterentia delcri-
  35. bacur, e a deuristimorumBC, BD,
  36. guorum

Cite

[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 136. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0152?run=74