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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. 165

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: 0.87.

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

The machine reads it as

  1. C AP. II.
  2. Analysis Infsinitorum.
  3. Per, 4= F, Orit 6, 14, =: e + i, _ vocata
  4. hujus lubtangenti OT = n, CA n C + nI = L. e, CX
  5. Fy + n y
  6. qua cum priori combinata emeroit h= n
  7. V. Rursum sinc omnia he = r t = rectangulo
  8. exrdeterminata in Z, erit juxta modo emo-
  9. FaTa be = r et ri, Tum n e + n1 = te, 2de0
  10. que B = n.
  11. YI. Sine Omnia he = (+ = rectangulo ex
  12. TD in OT. CrUnE, juXta 5. 24, u t ipsiUSs.
  13. aC e+ i ipsius t insinitelimae; adeoque infini-
  14. telimales termini ex (+ oriundi, juxta 5. 13.
  15. Schol. FW + + d + sC + sI; qui SI FANE = BC, CrUnE
  16. Omnia hc = omnia 1 u + +2 + (C+ (1 = Y5 CX
  17. 5. 13...: Quomodo jam hinC inFINITCNIMX COI
  18. lendae (inE, ut ipsius h valor inveniatur, jam
  19. 5. 31. in genere okentum ele; e exemplis pia-
  20. cedentibus rite intellectis latis liguido apparet.
  21. 5. 38. HIOCnOtetur, necessario non requiri,
  22. ut h seu 93 perpetuo ad A D applicetur; unde
  23. currilineum AZ P per omnia he explicatur,
  24. seu per h ex infinitelimam e, qua TCu X
  25. crelcit, verum d ad alias quascunque rectaS ip-
  26. Pam h ordinari posse.
  27. Sic enim 7 8, = h, erit curvilincum
  28. BF A = Omnia hi; SIE hoc aequale ipAI X y sCU
  29. Omnibus x a F ye, adeoquecum (IE X a F y e =
  30. 165

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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. 165. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0187?run=74