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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. 282

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: 0.85.

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The machine reads it as

  1. 282
  2. Analysis Infinitorum.
  3. CAP. VIII.
  4. BuS, nON EaMEN DE, FC, CI, Fore aequalia, adeoque
  5. differentiam quandam incerillas intercedere. Dux quidem
  6. differentiationum continuario num exiidem, quibus dit
  7. ferentiario prima, tundamentis deduci gneat, sequen
  8. rimodoinguisivi.
  9. Sic (FiS. LXXXLTII.) curvilineum AZX, sumeaque
  10. AO INTCTCCPTA: X, DO applICaLZ: y, AD CurVa: 63
  11. subtanBeHEI FO: P, TangenEI FD: S; IN aXC AZ accipIaNEUI
  12. se ULVOINSEqUENEESINETCCDEX AP, AR, AS, quarum
  13. differentix sun infiniresimae seu omni daca minores, OP: es
  14. PR: O, RS: N, CI. Leibnitio dx vocicacae; deinde 2d Giro1-
  15. laaxis divisionum puncta h elerentur appliCaCR, PF, RC,
  16. SI, erunc applicatarum differentix HIF: a, JC: pu TI: Z:
  17. currarumque respectirarum, DF: U3 F. C: d, C L: E; que
  18. rum illae D. Leibnitio, dy, Hxe de nOMIMaNEUE; qux Cyr
  19. varum disterentiae insiniresimxe versus axem in F, F, C,
  20. productae generabune infinicesias, FF: L. GF: ∞; ac duc-
  21. EIS FK TB5, D23, F. 4, Tangences ad angulOS rectOS
  22. secantibus alix rurtum orieneur infiniresimae, GR: 2,
  23. FB = R5: 2, 34. = 2 L= DF: 13 4C= F C = d
  24. Jam ob criansulorum F OD e D EI F Similicudi-
  25. nem, eAt.
  26. I. 1: y:: c: 43 TCW FO: OD:: DF: HTF; unde 2a = ve.
  27. II. 5: 7: : 21: 4, Teu TD: DO:: DF: F. FL, undC 5u= 9a
  28. NII. 1: 5: : c: 1. Teu FO: FD:: DFT: DF. UndC se = eH
  29. Tum ob triangulorum F P P. _ F. gC similicudinem est.
  30. IV. 12 C + 1: y. F a:: O: p TCH F P: PL:: F. G: JC, unde
  31. perlemm. 10.) 30= rpu
  32. V. 14 C F 1: 5. = 1 + d:: 0: d. Teu F P: F L:: F (J: FC,
  33. unde (Per lemm. 10.) 50:+ 7d
  34. VI. 5 + 1. + X: y + a:: d: 10. seH F F: P. P:: F. C: C 7, unde
  35. (Perlemm. 10.) yd: 5pu.
  36. Tremoberiangulorum GRC _ CLL similitudinem est.
  37. VII. 5. + Y F a F H .F d: y + a + p:: Z: E. TeH GC: CR:
  38. CI: TL. Unde (per lemma 10.) 36= 5E.
  39. VITI. 5. 4. 2t . 2 +. 4 +. d: 1 + ∞ +1. + e + 0:: C: X. Teu CC:
  40. GR:: C T: C L. Unde (ex lemm. 10.) tE= 5N
  41. 12. 1+i + D + e .+ 0: y . F a F p: : r: E seu GR: RC:: C L.:
  42. E.L. unde (per lemm. 10.) 1E Y5.
  43. 110

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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. 282. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0304?run=74