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. 119

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: 0.88.

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

The machine reads it as

  1. TI9
  2. DSETL L A.
  3. distanciarum particularum ejuldcleomenti a planoe CF. FrgO_ rovis
  4. terria prima a quabitur; nempe Planum 2, mulcip lex pernumerum =ecop. 18. hui.
  5. particularum Colidi a B C D, lummae quadrarorum, a distanciis par-
  6. ticularum solidi ejusdem a BC D a plano e C F. quod erat demon. =Prop. 14. lib.
  7. Cerandum.
  8. Nocanduss vero, quando lolidum a B D rocundum cA circa
  9. arem ac, heri semper rectansulum BC K ae quale quarex parti qua
  10. drati BC; quoniam subcentrica cunei, abscissi luper circulo BD,
  11. plano per tansencem in B, nempe recta BK, XQuaTUF = radii B C.
  12. Vnde, si er aequalis polica lic B C. Sequitur, Faciendo ue r Nad P ∞ ita
  13. rectangulum BCE, hoc elt,: Quadrari B C, hoc eAt, qu. P a ad pla-
  14. num aliud2 Forc hoc rectangulo a e oxquale. Ac proinde runc ip-
  15. sumrectanoulum a P D, mulciplex secundum numerum parricula.
  16. rum Colidi a BD, aequari summxe qualitx quadratorum a perpendi-
  17. cularibus omnibus, quae a particulis iildem cadunt in planum E C.
  18. D ROP
  19. 5
  20. TIO X VI.
  21. elinea fuerit. sive supersicies, sive
  22. s a aiter suspendatur, aciteturque
  23. super axibus inter se parallelis, quique à centro cravitatis
  24. jeura aequaliter distent, sibi ipsii sochrona est.
  25. 5. Euct
  26. ATOROLOC. OSCTLLAFOR.
  27. ernumerum parcicularum SCGICHEI B N N D, aquatUE quadraTIS DE CRUTRC
  28. rura quae
  29. Cbponacurmagnicudo quaeris, cujus cencruurcao L. Pu
  30. ctum, licue Pimo lulpenla ab axc, qui per F intellisitur heseo pa-
  31. sina plano at a astectos. Traque idem planum erit ac planan
  32. OTcillariOMS. LIE QUO TICenEEOF, radioF F delcribatur circumteren-
  33. tia FH C, lipoque in illa puncto quovis, ut r, magnitudo se
  34. cundo suspendi incelligatur ab asc s se pas Infixo, acque
  35. agicari, manente eodem oscillationis plano. Dicoilochronam Fore
  36. sibi ipli de darae circa axem in F.

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. 119. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0135?run=74