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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. 238

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: 0.86.

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

The machine reads it as

  1. Analvsis Infinitorum.
  2. CAP. V.
  3. te ex hoc calculo prosuat. Sit FIZ. LXXV, CUI-
  4. ra ADFF, cademque, gua in 5. L, linca
  5. rum Crmbola, Crat p: k: : r: Z:: C: W, ande Z0
  6. =ru quaeritur jaM (A Z POnatuEin C ad
  7. e
  8. spatium Currae BC NC ex typothes quadea-
  9. bile) CurVA ADFF, qua idcirco, Cx S. T. in
  10. rectam est mutabilis, proprietas; aur applicata
  11. D 9 Ceu y ad A 9 seu x relatio; cum itq
  12. que sC y: k: : r: Z, Crit d yγ: k k = yy:: pr:
  13. 2Z = pr _, TacOZZ = p r - ff
  14. S. erit quo-
  15. que y: l:: r: f:: e: a, unde fe = r a; positis ergo
  16. fin OX, _ rin LM, eA curvilineum A X XO
  17. = omnia fe, _c rectangulum F KFO = Om
  18. nia ra, quae aequantur rectangulo dicto ry;
  19. quare DO seu y =
  20. omnia fe spat. AX XO
  21. Unde Ctatim apparet sequens theorema; data
  22. Figura quadtabili ABC0, cujus applicataC
  23. seu 2, ad cundem arem applicetur secunda Fi-
  24. sura AX XO, cujus applicata OX seu f; ita
  25. TaCM, UE SIE PerDetLO ZZ = p r = f
  26. deallumatur tertia Figura AFO, cujus applica-
  27. ta DO seu y, ejus natuex, ut ducta determi-
  28. natarin applicatam quamlibet DO Ccu p, sIE
  29. continuo rectangulum ry aequale spatio curri-
  30. lineo adiacenti. AX X scu omnibus fe, erit
  31. CUIIVA AD F F in rectam convertibilis, e
  32. Xqua

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 238. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0260?run=74