Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 68

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: 0.75.

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

The machine reads it as

  1. B0
  2. Prithmerica infinitorum
  3. PrOP. 60
  4. es dividens eAt uno gradu Tuperior Perie diridenda, adeoque in-
  5. dex leriei diridencis unitace majoe quam index leriei divila,
  6. DIICa 3 3 =- 2 in 1 == 2 _n O -- 1:) termini lcrici oriorda
  7. ecune reciproce proporriona les homologis cerminis leici pri-
  8. manorum Paca si respectire dividatur
  9. Teries
  10. 04 2, 2a, 4 a23 9 a 2, 16 a2 8C.
  11. Per leriem Od, 2a, 84, 27 a, 64a, _C.
  12. vel series. ∞43 1a.
  13. 2a.
  14. 4_, _C.
  15. Per leriem Oa3 1a3 4a3 9a, 16 a, _C.
  16. vel Ceries
  17. 1
  18. Pecleriem 0a3 2a, 2a, 31,
  19. Prodibic series =
  20. da-
  21. 2an
  22. 2 e 3
  23. 3a9
  24. 4 a.
  25. 423
  26. et.
  27. C0
  28. EC.
  29. cujus Perici cermini lune reciproce proporcionales homolog:s
  30. cerminis Ceriei primanorum.
  31. UE PatCE. Nempe
  32. 24. 2a. : :
  33. d
  34. a
  35. d
  36. 3a
  37. 2
  38. 4 a
  39. 2 3 _C
  40. 3a =. Ec sic ubique.
  41. Fodem modo si series primanorum dividenda (ic per Teriem
  42. cercianorum; vel (quod caneundem rolcc) Ceries squalium
  43. vec Ceriem Secundonorum; exic feries proveniens scriei secun-
  44. danorum recipeoce proxorcionalis. Puca
  45. 0a3 223
  46. 423 da 16 a, _C.
  47. B. Cpari modo in omnibus ejulmodi divitionibus continset.
  48. DROP, LZRZVIIT. CorOI.
  49. I insinica plana (parallela) Parallelepipedi, ad toti-
  50. dem rectas Trianculi (aeque-alri) applicentur; (v et
  51. si respectivis rectis Trianeuli, e Paralleloerammi-
  52. sumantrr tertis proportionales;) series rectarum proveni-
  53. entrum erit reciproca seriei Primanorum, quae quidem
  54. recte

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 68. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0280?run=74