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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. 218

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: 0.90.

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The machine reads it as

  1. 218
  2. analysis Infinitorum.
  3. CAP. III.
  4. + 2Fya; ex qua aequatione ciectis, methodo
  5. 5. 3T. Cap. II. cradica, intinitesimis, ip(a B per
  6. lineas cognitas designabitur, calculum hic omit.
  7. 10, cum pOst C ap. II. 5. 3T. ec 37. rite intellce
  8. taS Sponte sequatur.
  9. 5. 4T. Ireque semper requiritur, ut curvi
  10. lincum quaelicum ad AP appliCeTuT; verum
  11. ec ad qualcunque rectas curram AD F. spectan-
  12. tes ordinari potelt.
  13. Ouaratur, exempli gratia, curvilincum
  14. A8FB ad tangentis abscinam A B applica-
  15. tum, quodrotatione lui circa candem AB ef-
  16. Ficiat solidum aequale cono modo exposito
  17. (9y
  18. 2Y
  19. pOsita Z8 = h, ac BT = 1, erit hoc solidum
  20. cbhi
  21. = OMB. 2r, IuXta 5. 18, adcoque sumendo ip-
  22. cy y
  23. TIuS 2, Partes infinitesimas, ac divisione per 2r
  24. instituta, erit 3hhi = yyc + y72 + 2+ya; unde
  25. ad modum C ap. II. 5. 3c. _ 38. climinaris inti-
  26. nitetimis, applicata h innotescet; qua ordi-
  27. naria methodo ad interceptam A Z reducta.
  28. currilinei A8 FB aeguationem extribebit.
  29. Simile in Fisuris planis exemplum Cap. II.
  30. 5. 38. suppeditat.
  31. 5. 42. Ouin et eadem, quam in Figuris
  32. planis Cap. II. 5. 39. demonstravimus, criam
  33. in folidis generalis methodus obtinet, retentis
  34. enim

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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. 218. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0240?run=74