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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. 68

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: 0.81.

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

The machine reads it as

  1. BE
  2. Analysis Infinitorum.
  3. CAB. I.
  4. quandam astignatam ad se mutuo habeant; ac, ex
  5. Oeleratâ recta OK ipsi OF normali, ducatur B5
  6. tansenS curVam ABC in B; quaeritur iN OK puNC
  7. eUm K, ubi PK tangens curram FPC in F rectam
  8. KOCCaF. Sumta in curva ABC infinitelima BC.
  9. ductaque OCO crir, juxta L emm. 40, F G sUX Cur.
  10. x infinitesima: hinc ductis centro O arcubus BF
  11. XE FL. CrunE juxTa L eMM. 38 eC 39, CT; BL, d
  12. GP, FF, intinitesima; _ triangula, SoB_ BLC
  13. item IOF _c F POsimilia. FIanEeFSO: OB: y
  14. OF. ~, O5. F, OK: k, inAniresiX BL: C.
  15. CF: a- FT: 1, 16:0. Inde OC: y + a _OG:
  16. Z + 0. Quare politis quatuor infrnitetimis toridem
  17. opuserit aequationibus, quarum prima (per: 39
  18. LCMI.) t: y:: e: a, undee= ta; sccunda k: Z:
  19. 1: 0. Inde i = Z: tertia ex sectorum Pcu
  20. exiangulorum OBL ∞ O FI analorid ortum du-
  21. CiE, nam: γ: e: : Z: 1. Unde e=
  22. a 122
  23. +Z
  24. 2 y3 QMacc y y
  25. I = 23 dC TandeM pyu O; UX trCS RquatO.
  26. nes in cunetis hujus naturae problemaris obtinent,
  27. uarcam Cuxgerie ipta currarum allinatarelatio.
  28. 52. Sit ea Verb: GP: UE Ed B (It ad O F perpe-
  29. LuouEr ads; Crit adcor: 5: :7: 2, CCu5 y = YZ, CE
  30. ad intiniressmaS: sa iro; unde 0=
  31. a
  32. at22
  33. jy
  34. ex praecedenti; undek =y; qui2 r2=i 5y. quod
  35. monstrat hoc catu F iE _B S FOrC ParallelaS.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 68. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0090?run=74