Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 2 · Bernoulli, Joh., fol. 115v

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: 0.85.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 116r); this page is its left half.

The machine reads it as

  1. 18.
  2. n
  3. 1X = XV X + a2, quadratum ejus X X + alX2
  4. dividatur ia duo quadrata quorum latera habe
  5. aat flueates geometive rationabs, puta in x X2
  6. et alx, quorua latera sunt X et a x, eo
  7. e
  8. mar
  9. mtzX et a x, divisa utraque
  10. rumque flueates
  11. JX
  12. 2X mar
  13. per a habebuntur-
  14. in+ra
  15. et X procoordina
  16. sis curvae quasitae qua multoplicata per a pro
  17. ducit aream propositatu F: XVX
  18. va eadem en eum ea quan Auitor per longum
  19. calculum invenit. Quod autem hac methodus
  20. qua Acutor post Aculissimua Craiguit uti
  21. fur non sit univeisalis patet exlis, qua insi
  22. nacoi ca Aclis Lipt. 1695 pag. 63, et pag. 376.
  23. praterea hoc iacomodi habet, quod plerunque
  24. Linea per eam quaerenda non sola sit cujus exten
  25. sione area data quadratur, sed recta quadam
  26. ipsi fere semper addenda vel devenda sit, sie
  27. pro quadratura Circuli vel potius semisegmerti
  28. circularis t: es Vray-yis cavenit quidem C. Cred
  29. gus arcua ilidem circularm non auteu pu
  30. rua sed cum recta quodam permixtua: verum
  31. per meam methodum curva quadatris semper
  32. pura et sola oblinetur: sit v. g. idea semi
  33. segmeatum cicculare t: y vray-yy quadrandum
  34. per extentionem solum solius alicusus curva at
  35. gebraicae: Pro hoc fiat curva cujus coordinata
  36. s
  37. scat
  38. 20-3ayy+
  39. haa
  40. et ray-yyvray-yi
  41. haa
  42. duo
  43. longitudinem lujir carva ductat in radium
  44. fore aequale seacisegmeato circulari t: s Vray-yy.
  45. notendum etiam me infinitis aliis modis idem

Cite

LBr. 57, 2 · Bernoulli, Joh., fol. 115v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-3653099:0230?run=74