Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 155

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: 0.90.

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

The machine reads it as

  1. CAP. TI.
  2. Analysis Infinitorum.
  3. erit C, 14 = e + i, vocatâque hujus subtangen-
  4. ei OY = n, Aet N: F:: c: e Fi, unde
  5. tC = n e
  6. = = Z adcoque Z = 1 -n, hinc, data curra
  7. ADF, datur Z seu currilinei BF A relatio
  8. 3I. Sic ex assumtis quibuslibet hrpothesibus.
  9. per quastibet infinitesimas designatis, ultima in-
  10. determinatarum post rejectas intinitesimas (cxere-
  11. ris ex arbitrio ad quassibet curras determinatis)
  12. innotelcet.
  13. Verb: Or: Rat het do = zi tg, quomodo
  14. hinc intinitelimae ejiciantur, sequenti paradis-
  15. mate patebit. Ingenere, Re in suxposita aequa-
  16. tione reperiatur, illa ad curram AD F perti-
  17. nenslinca, quae per infinitesimam, quam cjice-
  18. reconamur, crescit, 2d cundem axem A P ap -
  19. Plicetur; currae que hinc enatx Tubtansens repe-
  20. riatur, habebiturque aequatio, qua exvolitam in-
  21. Finitelimam tollere poterimus.
  22. Sic T. ad ipsam o tollendam, cum (ubnOr-
  23. malem spectet, juxta 5. 24. Fac currilincum
  24. AGP tale, ut O 4 aquetur ipE OR, Crit
  25. 6 14, =0 = e; adcoque rocatâ subrangenti
  26. c b
  27. 27 = b, est b: l:: e: 0 - c, unde 0 = b
  28. TI. ad i tollendam, cum specter subransentem
  29. concipiatur cadem 9+ esc = ZG = 1
  30. ejusque Tubtansens Y = n, CTIEN: t:: e: e + i,
  31. unde

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 155. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0177?run=74