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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. 32

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.

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

The machine reads it as

  1. Analysis Infinitorum.
  2. C AP. I.
  3. TP. Omnes termini, quos x intercepta in.
  4. sreditur, Aatuantur ad dextram, adeoque oii
  5. nestermini mixtiy ec x Cunul continentes, juxta
  6. 5. 25. d 26, ab utraque parre aequationis sub con-
  7. trariis sienis videbuntur.
  8. TIF0. Sinsuli ad sinistram positi in numerum
  9. dimentionum iplorum y respectire dueantur;
  10. 5. TY. eC 16.
  11. PVo. Singuli a dextra per numerum iptorum x
  12. respectire multiplicentur, ac unica ipsus xe di-
  13. mensione multati ducantur int, 5. 12. 8c16.
  14. Et habebitur, ex data cujuslibet curva x
  15. quatione inter applicatam ec interceptam consti-
  16. tura, aequario ad tansenrem determinata,
  17. EX: CP: ex data currae requarione; 5. 4 5
  18. X + γ X X + X = y = 9y X = ky = 5 = O; CTIE
  19. Juxta 1YO, 2. y 47y _ y x x + ky xquationis
  20. PaES Sinictra; eC X =Y X ∞ = yy X + lX DaES
  21. dextra, unde _ hac facie apparebii aequario
  22. 1+ yy ∞ y ∞ X +. k y (7 X +y X X = y y X + l X:
  23. _, Pec VI0. IIT. XIV, lingulis x e rin respecti
  24. vum dimensionum numerum ductis, ac d dex
  25. exa x in + mutaro, tet equatio adtansentem:
  26. 37 + 277 ∞ = y X ∞ + ky = 3 X X t + 2y ∞ + -
  27. y+ + I2, ut supra.
  28. 28. Oux autem de figuris vertus axem conca-
  29. vis demonstravimus; aliis vertus axem convexis
  30. quiris applicabit, ac, A Facto A
  31. 2D.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 32. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0054?run=74