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. 137

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.

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

The machine reads it as

  1. C +P. II.
  2. Analysis Infinitorum.
  3. que ye = Fa CrIE, = Z; unde sUM PEA B PFO AF-
  4. Biccio, Verb: G: ad circulum = s 2Y X X X, R
  5. F
  6. Ait ad parabolam = V rX, CFIEZ 2 X
  7. ; quxe mediante parabole equarione
  8. YX =yy expressa per y (cum hic Z 2d a, seu ip (Iu5
  9. y intnicesia, appliCAri (UIPPONaTUIT) dabit
  10. 2
  11. 17 V 2er. - 9)
  12. rr; adeogne relationeM CAEVE
  13. OMK. cum autem, retento ipsiuS h valorc e 10-
  14. CO, DOTED 9 ad intinitas curras statui; et mo-
  15. dopraedicto ex singulis emergat aliuSnatUTX CUE-
  16. vilineum, quorum singula nihilominus cieculo
  17. Peu omnibus he XguantE; paret dato cuilibet
  18. spacio infinita aequalia hac methodo exhiberi pol-
  19. TC: quod in multis casibus non exigui eR utuS.
  20. Sic _ ex hypothesi secunda he = ZW, manen-
  21. tibus had circulum dc y ad parabolam, cum TIEse
  22. FW CrIE5= Z; Undeset ex naturd parabol2,
  23. hex natura circulicognitis, ip(a Z masnitudine
  24. nOta CA: quae ad a D CurVa A P aequalem appli-
  25. Cata efficiet tritineum a00 x quale ipii A5 0.
  26. Coroll. TY. Ouod Si Z 2d quamcunque curram,
  27. spatium copnitum continentem, Satmatur, 2d
  28. criansulum, paralleloscammum, parabolitor.
  29. ium quandam aut alius generis quadeabilem;
  30. erit _E Bad lOCUM COIIIIMIMI) CujuS SPAtIIIM Men
  31. suram petitur; unde mutue eurtus curra ADL

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 137. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0159?run=74