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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. 267

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: 0.89.

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

The machine reads it as

  1. AP. VII.
  2. Analysis Infinton.
  3. NTinm. S
  4. Om omnis equatio unam pluresre indeterminatas
  5. Continens per currx unius pluriumre locum sec-
  6. merrice delipnari pOME, ita ut sinsulx OceurrenteS
  7. indecerminaex vel tanquam applicaex diversarum linearum
  8. ad cundem axem posiex contiderari portinc, vel eriam una
  9. ex illis interceptam quandoque repraesentare; plurimxque
  10. ReDETIAnEUT CUrVX (FIG. IXXXII.) ADEZ, quarum, ( 2d
  11. rectam AZ reterantur, applicatx ex A in P perpecuo crel-
  12. CunE, ex I in R per infinicesimum spacium distanres subA-
  13. Htunc, ee aequales sunE, 2C ex K in Z, denuo, manenre eadem
  14. CurVX RegnationO, ACELCCCNnE: Darer incer varios app(ICA
  15. earum hicce in cueris valores exeremum unum dari, cym MI
  16. mirum nec ereseunenec decreseume; d hoc quidem in calu
  17. maximum, exreris omnibus hinc inde ab hoc exireme seu
  18. maximo deticientibus.
  19. Simile quid obserratur in aliis curris, aur etiam in hac
  20. eadem, si non ad axem AZ. verum ad rectam YX ap-
  21. plicetur, quo quidem calu applicarae ex Y in V decres-
  22. CunE, in V e S per insinirelimam distanciam disjunctae
  23. SIbI MUEUO RQUANEUF _E SuBSICUNE, 2C Cx S in X rursum
  24. augeneur; unde applicararum punctis V _ S insistencium
  25. valores omnium ad hanc curram perrinontium minimi
  26. TUINE.
  27. Exquibus consequicur, omnem equarionem indecermina
  28. tas quorcunque concinentem, si unica ex illis ad valorem
  29. extremum decerminari debeac, ad quendam exmodo dictis
  30. currarum locis, X casum quo nec crelcunt nec decre-
  31. cunc, adeoque sibi invicem equales sune duxe sele proxi-
  32. meexcipientes applicara, referripolle. Ad curram scili-
  33. cet sexlus anem suum concaram si maximum, convenam
  34. Maximis
  35. lit
  36. det mimum expelacut.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 267. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0289?run=74