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Machine transcription of the Leibniz Nachlass

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[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 21

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. M
  2. e
  3. II
  4. Analysis Infinitorum.
  5. C X P. I.
  6. De Curvarum tanrentibus.
  7. NIE CuEra ADF, Cujus INtEFCCDEa
  8. AP = N, applicata in dato quolibet an-
  9. SulO F P: y, aC ducenda sic recta Z F curram
  10. TaNTeNS IN P 3
  11. Onde ex data currae reguatione inter applica-
  12. tamy, interceptamque x constitura, Quaeritur
  13. TP Peus, auc hanc tansentem dererminans P L
  14. Ceut, quamazis portionem P Z, applicata F P,
  15. ec tangente ZE interceptam, CZ Nob. Tugenit
  16. inctituro subtancentem rocabimus.
  17. In linea A e cumta ee intinicesima quali-
  18. cunque crectâque ) D ipA P E PaE~IICla, du-
  19. BAEIE F D aequalis e aequidistans ip(I P 9, qua-
  20. retriangula ZPF, _C D II F crune Cimilia, ec
  21. L F. FL.
  22. FP: PF:: DFL: F FL (CN t: γ: m. 1
  23. IteM ZP: ZF:: DH: FD CCu+: 5:.
  24. 2: = DF
  25. m +m
  26. Vnde patet _ ipTaS F IY _ D F eNe infinites-
  27. MAS, Cum per numerum oni dato IaIOLCHS
  28. inincdivisx, juxta Lemm. 7. Exponatur jam:
  29. currae quaelibet aequario 2 r X = x x =: yy intCF
  30. PF ec A P constituta, haec cadem inter intercep.
  31. cam A Q scux = e applICaTAI D _ (CIt

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[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 21. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0043?run=74