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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. 77

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: 0.83.

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

The machine reads it as

  1. sa
  2. do
  3. 10
  4. M
  5. 1
  6. s
  7. C AP. I.
  8. Analysis Infinitorum.
  9. nem; quam inter sese habene FD _ OB; SCWInFeKCCPEA
  10. ec applicara ejusdem crianguli. Cutm autem mulcis qui
  11. dem modis haec quaestio porsicrariari, pecique, uc. daco
  12. in criangulo TDe punctoD, inrenIaTUF CUrVa ADE, ip:
  13. Jam rectam TF in daco puncto concingens: underum cur-
  14. VX ParAMeTeF, icem AC sCux, post peneralem CUEVEntu
  15. ram cognitam inrectisanda Forenc. Duin _ plurimis modis
  16. diverta, circa rectas curralque semutuo rangentes, quaeri
  17. pollene, proeorum diversirare, quae taniquam dara suxpo-
  18. nunEur. HxCVerolicet ex Facili, praecedentibus percer-
  19. tis, consequantur, in rrronum stariam unum aur alcerum
  20. exemplum addemus.
  21. 72. SIEFIT. X, reCta Z D in inHIIMIM VeETUS
  22. Lprorenta, cjusq: positio respectu linee 75d-
  23. ta, in eaque astionatum punctum D, Oporiet
  24. curram AD F hanc rectam in Drangenrem de-
  25. SIgNaEC. DuCta ex D reCta D 9 ipsi Z O HOEM2
  26. li, aut ad quemlibet datum angulum, (IE eX
  27. trianruliz
  28. Dproprietate (Fact a F :t, d 9D: y)
  29. Perpetuo p: g:: F: y, unde equatio crianguli
  30. pF =gy, vocatisque ut luDea, AP = DH: e,
  31. _ FHI: a, crie haec reducta ad infiniresimas
  32. ge pa, qux in omnibus hilce casibus ob-
  33. tinet.
  34. lam quaeratur parabola AD F. iplaur rectani
  35. YD in PUNCTO D tangenS, cujis xquatio
  36. rX = yy, Facto Ag: x; dabit haec ad inFini-
  37. e
  38. relimasredacta re =i 2 ay: Unde 27
  39. 90
  40. unde cum p ec g item t ee y in triansulo
  41. data Cine (priariguli enim proprierAS ec punCrum

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 77. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0099?run=74