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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. 141

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: 0.87.

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The machine reads it as

  1. CAP. II.
  2. analysis Infinitorum.
  3. Exemplum in exronum seatiam addam: sit
  4. F18. XXXIX. CUEVA ADF; cujus aequatio
  5. 2Y X = X X = yy + X y + Y y + YYS OUXTITUE
  6. QR, SCut, ejus subnOrmaliS.
  7. PoTira equatione, ue supra, nihilo aequalis
  8. CrITZ Y X = X X = gy = X y = ry - py = O, vi-
  9. dere est chanc aequationem non ingredi; quare
  10. ad hanc perrinentes quantitates z, a h, l, nihilo
  11. FIUnE aquales; SOIXqUE, Z GUX X, f quXy
  12. b guX X _y continet, reserrandae; ACtGHC PCFC
  13. (AZ) 99 + (A6) y9
  14. divisione institut l = = (B5) ∞ = (B6)x, unde
  15. loco 2 substicato 2r x X X, l0cO f. PO.
  16. lito - py - ry. tandem pro biplo- X y, lei-
  17. ratis in singulis addiris signis, Rec, omnibus jux
  18. ta A, B, _C. Subrangentialiter mulciplicatis, ad
  19. 277 -- 2 Xy - yy
  20. divisis pecxy, subnormalis l= 27 +r + X
  21. Schol. Hoc solum ac unicum rectare videtur: vx ipta L,
  22. perterminos holce penerales explicara, in curvis peom eeri-
  23. Cispersolam x posser efferris liuxta canonem omnibus cur-
  24. ris convenienrem e unirertalem; unde primo fere incuicus
  25. apparerer in qualiber curra, num juxca praecedentis ceno.
  26. rem poret quadrari; _ an inrer varias, quae Hinc etrasce
  27. rentur, relationum expressiones aliqua reperiretur, qua
  28. expolica cuerae proprietaci conBrueret.
  29. Videbantur haec incet subuormalium inventiones C ap. P.
  30. cractaras sibi locum rehdicare; rerum quoniam currili-
  31. neorum hine oriencium quadracurx primario consideran-
  32. cur, malui hane mechodum huic poriusloco, canquam ci,
  33. quod incendimus, conreniencissimo inserere. Sed ad corrol-
  34. Taria reVCTIOT.
  35. 1

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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. 141. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0163?run=74