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. 46

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. 46
  2. CMRISELANI AVGENII
  3. earum qua à parce a transcunt, vel erit remorior, vel aeque di-
  4. Cabit.
  5. Duod (i e F longius à cenero velaque remota estac G H, erie
  6. tangenS F C major areu (UO F H, ee reliquae tangentes vertus A,
  7. ProPAB. hui. nimirum E D, C a majores singula arcubus luis X; adco ut omnes
  8. TIMUL GE, E D, C A MajoreS LINEATCU E A. Sed _E AFCU ET L majOr
  9. ProPAB.Lui. CTIE LaNGENS L. M F, _L arCU L. H tangenS N O; itaque tangenteS
  10. OIHES, PEXEEE H K, majores LimuL CFLINE arCu A H; multoque
  11. magis, accedente ipla er H, tangenEeS Omnes intCF A _E B COm-
  12. prchenla arcu codem a v majores crunt.
  13. Sivero CH a centro longius dictat quam E F, CTIE LaNGCNSK H
  14. PcoP. 1y. hui. MaIOTAYCIIH F F, eE TAHGENS M L UT AHLC MajOI AYCU L H, d Fan-
  15. GeNS O N MajOT AFCUHL, eE OmNeS PrOINdC LaNSCNTCS O N, H I,
  16. R HT MajOrCS aECI N F. SCd _ LANGCNS E D major eA arcu CUO F
  17. ProPNhuj. D X e cansens ca major similicer arcu suo D A. Itaque tansen-
  18. teS OmneS InFeF B O _L A, PEXFeF G F, MajOTES CTHINE APCU N A;
  19. multoque maristangentes cadem, accedente cF, hoc est, om-
  20. nes quainter B o e a incerjiciuntur, eodem arcu N a majores
  21. CrUNE.
  22. Ex his vero etiam demonstratio manifesta est in calibus aliis,
  23. qualiscunque semicircumterentix arcus accipiatur, quippe cum
  24. rel eadem sic ubique, vel pars tantum pracedentis demonstra-
  25. cionis.
  26. PROPOSITIO XXI
  27. mobile descendat continuato motu per qualibet plana
  28. inclinata contigua, ac rursus ex pari altitudine de scen-
  29. dat per plana totidem conticua, ita comparata ut sincula al
  30. titudine respondeant sinculis priorum planorum, sed majori
  31. quam illa sint inclinatione. Dico tempus descensus per mi-
  32. nus inclinata, brevius esse tempore descensus per maris in-
  33. clinata.
  34. comprehemlae ABCDE, FOHKL, acque ica uc bina quaeque sibi
  35. correspondentia plana utriusque lerici iildem parallelis horizon-
  36. calibus includantur; unumquodque vero ferici EO H R Et magis
  37. inclinatum sic ad horizontem quam planum libi alcicudine res-
  38. pondens seriei AB CD E. Dicobrerioritempore ablolri delcen-
  39. CUM PeT AB C D E, quaM peF PC HI H L.
  40. DR MOTUI
  41. EYCLOIDB.
  42. Sut leries dux planorum inter caldem parallelas horizontales

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. 46. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0062?run=74