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. 39

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. IOROLOO. OSCILLATOR
  2. DE DESCENSI
  3. Lu n
  4. i 22 Led A
  5. eloidem taneat
  6. Circa axem cxcloidis A D delcHIDaIL CirculuS geNIEOE A F D,
  7. Aio in Cycloide puncto, rectam per illud ducere qua
  8. tem duccte oporteat.
  9. ducatur B E paralleta vast Ccloidis, quae dicto circulo occur-
  10. TaE In E, _ junSatuF A E, cui denique parallela peF B aGaCUF E B
  11. N. Dico hanc crcloidem in B contingerc.
  12. Sumatur enim in ea punctum quodlibet, a B diverlum, ac pri-
  13. Sic crclois A B C, dt punctum in ca dacum B, per quod rangen-
  14. moVtS IeTIOTa veluE H, _ per e ducatur recta basi crcloi.
  15. dis parallela, qua occurrat cxcloidi inL, circulo A E DINK, rC
  16. etae a E in M. Ouia ersO K L est aequalis arcui K A, recta auTCM K
  17. AE MINOF ATCU KE, CrIE RCCta M L MInOF ArCU A E, hoc CA, recta
  18. E B, Sive M H; unde apparet punctum e esse extra creloidem.
  19. Deinde in recta e e Tumatur punctum e inferius B, e per H
  20. agatur, ur ance, basi parallela, qua occurrat excloidiino, circulo
  21. A F D in O, rectX a E producta in P. Ouia er5o00, aequalis cAt
  22. arCUI OR; O D AHECM MajOF APCUO E; CFIE P O MINOF aICU F A,
  23. hoc eAt, recta e B, live e H. Vnde apparet rurlus punctum v esse
  24. extra creloidem. Cum isitur quodlibet punctum prater B, in re-
  25. eta B e sumprum, sic extra crcloidem, constat illam in puncto
  26. Bcrcloidem contingere; quod crar demonstrandum.
  27. Fluic demonstrationi an locum luum hic relinquerem dubita-
  28. vi, quod non mulcum ei ablimilem à claristimo VVrennio cditam
  29. inveniam in libro VValtilii de Crcloide. PoreA aucem _E UnIVer-
  30. Caliconstructione propolicum absolvi, quae non crcloidi cantum
  31. Sed e aliis curvis, ex cujullibet figurae circumvolurione genicis,
  32. conveniat; dummodo sic tigura in candem parrem cara, ec ex iis
  33. qua GCOMETTICR VOCAREUT.

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. 39. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0055?run=74