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. 112

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: 0.91.

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

The machine reads it as

  1. CHRISTLANI AVOENII
  2. ON CHUrNo CtA COntentIS, DXX - 2 X M =Fnn= + Kk, Hetrora lumma, nempe qua-
  3. 20V1S. dLATOLIMFR, FB, FC, FD, x BZZ +nn -+ k h- l. Ouodap-
  4. parec esse planum datum, cum ha quantitaces omnes datx sinE;
  5. temperque idem reperiri, ubicunque in circunterentia lumptum
  6. Fuerie punctum F. quod crac demonstrandum.
  7. Ouod Lipuneta data direrlas graritates habere ponantur, invi
  8. cem commensurabiles, ut si punctum A POnderCF UEZ, BUEZ, CUE
  9. 4, Duc7, Corum que reperro graritaris centro, circulus rurlus de-
  10. lcribatur, ad cujus circumterentia punctum, a daris punctisrecta
  11. ducantur, ac lingularum quadraca mulciplicia sumantur se cundum
  12. numerum ponderis puncti sui; ue quadratum A F duplum, BFtri-
  13. plum, cF quadruplum, DF sepruplum; dicorursussummam om-
  14. nium xqualem tore spario dato, semperque cidem, ubicunque in
  15. circumferentia punctum lumprum fuerit. Paret enim hoc ex prxe.
  16. cedenti demonstratione, si imaginemur puncta ipla mulciplicia
  17. secundum numeros attriburx cuique praritatis; quasi nempe in
  18. aduo puncta conjuncta line, in Beria, in c quatuor, in D leprem,
  19. atque illa omnia aqualiter gravia.
  20. tAOFOSITIO XIMI
  21. Thoma pana Sma inplano existens, aliter at que
  22. aliter sun tis, qua in eodem plano accepta
  23. aqualiter à centro cravitatis sua distent; acitata moru in
  24. latus, sibi ipsi isochrona est.
  25. Sit Aigura plana, vel linea in plano existens A BC, cujus centrum
  26. ravicaris D. Quo eodem cenero, circumterentia circuli in codem
  27. plano describatur, E CF. Dico, (i 2 quoris in illa puncto, WEE, C,
  28. velo, lu lpenla Figura agiretur in latus; sibi ipsi, ire cidem pen-
  29. dulo simplici, ilochronam esc.
  30. Sic prima lulpensio ex e puncto, quando aurem cst extra Rgu-
  31. ram, uthic, putandum est lincam e _, ex qua tigurapender, ri-
  32. sidam elle, acque immobiliter ipliattixam.
  33. Incelligatur fgura a BC dirila in particulasminimas equales, a
  34. quarum omnium centris gravicaris, ad punctum E, rectae ducta
  35. finc; quas quidem manifeltum est, quum moreatur Aeura motu
  36. in latus, esse ad axem agirarionis perpendiculares. Ilarum igitur
  37. omnium perpendicularium quadrata, divisa per rectam ED, mul.
  38. tiplicem secundum numerum particularum in quas firura divila
  39. Prop. 6. huj. CH, eAticiune longiudinem pen duli simplicis, hourx iloctronit,
  40. Qua
  41. 2I2
  42. ISCFEL A

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. 112. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0128?run=74