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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. 69

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: 0.81.

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

The machine reads it as

  1. CAP. I.
  2. Analysis Infinitorum.
  3. 53. Sicjam rectanculum O D in OF semper
  4. aquale quadrato definitorr; exit, 27 = rr; 8 2y
  5. + Z a +7 0+a0= rr, (CUIWAta: 5. 5 CE6, 0= = n L
  6. atZ7
  7. Lyy Cx 8. 5Y, UndCk
  8. y; quod (iBIM
  9. Octendit IL a COnTrarIa ipFIUS S partC CtATVEN
  10. dum uti ab unde nOEUMI.
  11. 54. Ouod AI detmr B F semper determinata
  12. recta raequalis, crit 2 = y =r, adcoqueo= a
  13. at ZZ
  14. t
  15. Z
  16. kyy; unde k = y; _ hinc omnigenarum
  17. Conchoidum, pront ABD vel recta, vel cuEra
  18. quaelibet arumta Fucxit, tansentes pronuunt.
  19. 55. PIAE Z~ -yy = rr, Cxit 20 = ay, et
  20. ay a+22
  21. a= Z= Lyy, eC k g e tic in cxeteris potectati.
  22. buS; (i FUCFIEZP -yP =r P eric K yP+ 1 = 5 21+ 1. O1O-
  23. modo durem, ubi plurr data lint puncta, tansen-
  24. res ducendae reviant, hinc leri opera deducitur.
  25. 56. Adtangentes currarum prorehimur, cum
  26. curra ad alias cueras variis modis reterUNtU.
  27. SInE PIE. XV. LTCS CUIVRLCDKE, OFFHL, MINOP
  28. ita relata, ut ducta qua cunque recta CF N adt PO-
  29. sitione datam parallela, currasque ut vides, secanti,
  30. sIt Semper C E ad C N, ut p ad q; dataque BC aUF
  31. AC Tubtangenre alterutrius, quaeritur alterius tan-
  32. ZenS. ANUMEa CD; Curra LCD portione infinire
  33. Sima: W, duCtaque DO ip(IC N Parallela, junsantur,
  34. NR, FL, ipA CD seue aqualeS e aequidistanTCS,
  35. AaNEQUC CN: Z, CF: 9, FL: A, R9:0, BC, it, AC.:k, CTAE
  36. FD: y + a, DD: Z +0.
  37. at

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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. 69. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0091?run=74