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. 149

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. HTOROLOG. OSCILL ATOR.
  2. 149
  3. dem ponatur quae iplius rirsx. Ouaericur jam, quo loco hoc rirga D ceUERO
  4. d3CLL
  5. imponendum, uc uno scrupulo primo acceleretur horologii Mo- ZLOVIS.
  6. cus, spario 24 horarum. Item, ubi collocandum, ut duorum lcrupu-
  7. lorum primorum sic acceleratio; ILCM, UE EVIUM, GUAEHIOE, aEque
  8. Ita POrTO.
  9. Ductis riginti quatuor horis lexasies, hunt 1440, quot nempe
  10. Ecrupula primauna dic continentur. Ex hisunum auter, quando
  11. unius (crupuli accelerario quaeritur: Supertune +439. Racio autem
  12. 1440 ad 1439 duplicata, proxime elt ea quae 1440 ad 1438. FrgO, (I
  13. penduli simplicis, sccunda scrupula nocanris, longitudo divila
  14. intellisatur in parres aequales 1440, carum que 1438 alii pendulo
  15. tribuantur, hoc prxceder alcerum illud, in 24 horis, uno scrupulo
  16. primo. Adcouchicp valeat partcs 1438.
  17. Duia aurem pendulum horolosii, ex rirga imccallica ae pon-
  18. dere appenso compolicum, ilochronum ponitur pendulo Tim-
  19. Plici partium 1440; invenienda primum elt virgx illius longicu-
  20. = a b - F ac
  21. do, ex xequatione luperius polica. Frat nempe
  22. -+c
  23. aequale longi.
  24. cudini penduli simplicis, quodilochronum compolito ex rirga ha.
  25. bencelonsitudinema, sraritarem b, et pondere aftixo cujus gravi-
  26. tas c. Ergo si lonsitudo penduli simplicis ilochroni dicatur s. Fric
  27. =bs -+ Cs
  28. b -+c
  29. a. Positoque, urhic, c ∞ 50; b d t; s x 1440; het a n
  30. 1444 longitudo virge.
  31. Tam, quia Cratf x : p - + Vel - V = er - ; ab p + acp. = aab. aac ACF f 3
  32. P - + vel - V: pp - + 72962 p - 105061220. Vnde porro, si p
  33. sic, uti diximus, parcium r438; invenietur f x 133C=, qualium
  34. nempes. Ccu pendulum limplex, sccunda scrupula olcillationibus
  35. designans, continet r+40. Cujus longitudo si pedum erium Catua-
  36. cur, quoshorarios rocarimus, habebir funcias 33, e3 unciarum
  37. uncias, quaslincasrocant. Vel, auterendo hanc longicudinem fa
  38. corarrium pedum lonsicudine, supereruntuncix dux, linex 9, a
  39. centro olcillationis penduli composiri Turlum lumendae, ut ha-
  40. beatur locus ponderis D, unius scrupuli primi accelerationem
  41. Praltans cempore 24 horarum. Fodem modo reliquas distantias,
  42. quibus virga dividenda est, calculo inrestigarimus, aliam arque
  43. aliam ponendo longicudinem p: ealque subjecta rabella exhibe-
  44. id

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. 149. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0165?run=74