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. 141

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: 0.89.

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

The machine reads it as

  1. FTOKOLOb. OSCILLATOR.
  2. 242
  3. a F aqualis : a D; Rec hinc E S, incerrallum quo cenrrum agia
  4. I. E.
  5. tionis inferius est centro graritatis, aquale: AD, atque insu-F2ONLB.
  6. Per: cerrix proportionalis duabus A D, B C. CirC FOTa A S aqua-
  7. lis = AD, Praecer dictam tertix proxorrionalis.
  8. Centrum oscillationis Coni.
  9. Ouod Tia B C conusfuerie, omnia eodem modo sc habebune,
  10. nili quod sparium 2 hic sic ae quale rectangulo a e p F, hoc est : - + PrOP. 15. hui.
  11. quadrari e v velB D, Tire 2 quadrati B c. Ouare, torum spacium
  12. appplicandum, in conoerit quadrati a D, una cum ; quadrari
  13. BC. Ac proinde, Polira luspentione ex verrice A, ACE F S, qua
  14. centrum agirarionis interius est centro gravicatis, aequalis AD,
  15. et terrix proportionalis duabus AD, BC. Sirc tota asaequalis :
  16. A D, una cum : tertix proportionalis duabus A D, D B. AEque hinc
  17. manifectum cAt, si A D, DB aequalessint, hoc Cst, (I COnUS A B CFIE
  18. rectangulus, tieri a saqualem axi aD.
  19. Sequitur quoque Porro, ex propolitione 20, conum hunc re-
  20. ctanoulum, si ex Dcentro baleos luspendatur, ilochronum Fore
  21. Sibi ipsi exvertice a Cuspenso, quemadmodum de decriangulo re-
  22. ctangulo supra ostenlum fuir.
  23. Centrum oscillationis Sphara.
  24. Si AB C Scsphaera, erir figura plana proporrionalis, à larere ad
  25. ponenda, ov_, ex parabolis compotica, quarum basis communis
  26. Om, aequalis Sphara diametro a D. Sect a vero sphera planis per
  27. centrum E, quorum BC c horizonti parallelum, A D veroverri
  28. cale: ut inveniatur lumma quadrarorum à distantiis à plano a D,
  29. nolcenda est distantia centri or. para bola O V H ab OE, qux lic P P,
  30. estque: V P. Deinde, dirisa Pr bitariam in A, constat rectangu-
  31. lum a x ∞, multiplex per numerum parricularum spherx A B C,
  32. aequari quadratis distantiarum a plano X D F. F. A aurem rectangu - + ProP. 15. in
  33. lum a P o aequale: quadrati e V, vel quadrati BF.
  34. fine.
  35. Acqui, quadraca diltantiarum à plano B C, aequalia esse liguer
  36. quadratis dictantiarum à plano nD, ac proinde cidem rectangu-
  37. loaro, mulcipliciper dictum parricularum numerum. Ergo spa-
  38. cium applicandum, in sphera aBc, erit duplum rectanguli A P P;
  39. ideoque aequale: quadrari aradio EB.
  40. lraque, si sphera suspensa sir ex puncto in supertieie lua a, exir
  41. is
  42. ECLHTEO

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. 141. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0157?run=74