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. 107

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: 0.80.

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

The machine reads it as

  1. HOROLOC. OSCTICL ATOR.
  2. d
  3. n quadrarorum ab omnibus iltis perpendicularibus.
  4. Sic data E D Parallela recta AL, qua
  5. era car polira CIc. PoreAt aure
  6. Cummam qu
  7. uram cansaE,
  8. DE CENTKC
  9. SCZLL a-
  10. CxF Z1OH25.
  11. nfiguram vel ab eadem parte C
  12. arre oppolira contingere. Dista
  13. 2Ia N
  14. OCenTI
  15. daLeaa laore
  16. ertiouraablcitu prane pertemAL MA. DAD
  17. dratorum quaelicam aequari rectangulo a O rr una
  18. tt
  19. alciplicibus secunaum parcicularum nume.
  20. vila incelligitur.
  21. 1.
  22. lu
  23. qua CAtF D
  24. rrari
  25. crica cunci
  26. cum quadrato P. C
  27. PUI, IM Quad
  28. OCCurI
  29. dracis ac cum coridem rectangulis a OHr. Frso quadrata omnia FK
  30. aequalia erunt roridem quadratis e a, cum roridem duplis rectan-
  31. Sulis E. AC, at que insuper toridem quadratis a c cum roridem re-
  32. ctangulis a cr. Aequi eria ilta; nempe quadratum e n cum duplo
  33. rectansulo F A C aquadraro aC; Faciunt quadrarum E C. FrBO ap-
  34. Paret quadrata omnia r xaequariroridem quadraris E C, una cum
  35. toridem rectangulis a O e. Ouod crar ostendendum.
  36. Porro in reliquis omnibus calibus, quadrata omnia F L~ quanEUE
  37. cocidem quadratis K L, minus bis roridem rectangulis K L F, plus
  38. toridem quadraris LF; hoc est, toridem quadraris e a, minus tori-
  39. dem duplisrectangulis E aC, pluscoridem quadraris AC, Cum CO-
  40. 51 0B. piao
  41. im FK, l opus Cs pla
  42. e0. Traque pnum, eo casu quo recta eD a figura diltat, X Lan-
  43. rens AL adeandem tigurx parrem ducta est, lc proponu u.
  44. detur. Suma omnium quadratorum e R aGuacur coudem qua-
  45. dratis KL, una cum bis coridem rectanousis R L F, concm insu-
  46. per quadralis L F. Sed quacaca L L agdantur coridem quadraris
  47. Fa. FF recangula H L F aguarsa u constat coridem rectangulis
  48. ICL L LL L PCA
  49. E AC, quia omnes FL aqualesrori I C N Y. Fc denique quadrara = Prop. 2. hui
  50. E. F aquantur toridem rectangulis H A CF, hoc est, toridem qua-ced

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. 107. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0123?run=74