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. 147

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. s
  2. CAP. II. Analysis Infinitorum.
  3. oruis inveniendis regula. ANumto quolibetter-
  4. mino, exponens iplius Z multiplicetur per geni-
  5. curam ejusdem termini; ac productum divida-
  6. cur per numerum loci, quem assumtus terminus
  7. in Ordinc porestatis obtinet; ec habebitur geni-
  8. cura termini sequentis.
  9. Ex: Or: Z L f sic attollendum ad potectarem
  10. aquadeatam: exie L Z TerminUS L5 Tum + PCF X
  11. multiplicetur, ac productum diritum per X.
  12. (Cum terminus (IE Ordine primus) erit sequentis
  13. termini genitura = 4, adeoque 4fZ termi-
  14. nuS LI. hic denno multiplicato 3 per 4 Fiet pro-
  15. ductum 12, quod dirisum per 2 (cum terminus
  16. Ec ordine sccundus) dabit sequentis scu tertii ge-
  17. nituram 6, qui idcirco ACF = 6 ffZZ: ∞ AC
  18. pergendo obtinebitur leri operà binomii cujus-
  19. cunque quaelibet porettas. Ouare (I Z + felc-
  20. vanda sic ad dignitarem p, erit terminorum hanc
  21. componentium series ca, quae lequituF. LF
  22. Genitura termini
  23. i.
  24. TId
  25. 1II
  26. CV
  27. 1. P In
  28. A.. IN Z D
  29. =B.. In fZP = L
  30. C... I ffZP = 2
  31. D.. I f ZP = 2
  32. I 4 = L.. IA)
  33. n 4.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 147. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0169?run=74