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. 183

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: 0.78.

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

The machine reads it as

  1. P. I9I.
  2. Arithmetica Infinutorum.
  3. (DATa LX3 =3 = 4 = 1 = O2 = 1. 3. =5 --15 = 16-
  4. 2 =O+ = 1. _C.) FC Similicer duos pareo proxime poheos
  5. rectangulum Facere quod unicace minus sic quam quadrarum
  6. incermedii numeri imparis, ( DUTa OX 2 ==O= 1 L I =
  7. I m 1. 2 + 4 = 8 = 9 un Y = 3 ma T. 4 X B = 24 =
  8. 25 n 1 = 2 5 = L. _C.) Ouarebat igitur qua ratione au-
  9. gendierant Factores, ue prodirent rectanpula, non quadratis il-
  10. lis unicate minucis, sedipsis quadraris aequalia. Invenit aurem
  11. id heri polle, E ucriqu Factores Fractione auxeantur, quae denomi-
  12. nacorem haberer continue Fractum in infinicum, ad cam For-
  13. mam quam luxerius exhibuimus: Nempeur parcicularium tra-
  14. ctionum Numeratores line quadraca numerorum imparium, Di
  15. nominator vero ubiq; inceori duplus tractione auctus in inti-
  16. nicum. Ad hanckormans, quoulq; libet concinuandan.
  17. 2 22E.
  18. 04
  19. 9 = (D3
  20. 2 25
  21. 4+
  22. 25 =-c
  23. q
  24. 2325, 36825 5 10 1825
  25. +
  26. 6
  27. +
  28. 10
  29. 49 = 27 81 -99
  30. 22
  31. 8 1b 1825
  32. 1∞
  33. 7 it 1425
  34. 2020 208
  35. 915, 325
  36. 8∞
  37. 222+22=
  38. via carvica
  39. 4 = 2 16 = 4 36 =6 64 = 8 100 - 010
  40. Factores aurem illi Ec consticuri, quantum libee concinuaci,
  41. (modone in intinicum,) rectangulum Faciene debiro quadra
  42. covel minus, E numerus Fractionum inceoro adjunctarum RE
  43. Par; vel majus si impar; ica camen ue quo lonsius procedatur
  44. eo propius ad quadracum debicum accedtar. Ouod hac demon-
  45. AracIONE CONALMIAEUES
  46. Fiko, ex debicis Factoribus quibulris, peioris numerus inteser
  47. P, adeoq: posterioris F F2; numerus ipicur inceriectus (quod
  48. lacus eA quadraci) F F c. Eorum rectangulum P9 + 2 F mi-
  49. nus est quam hein gnadiacum F9 =+ 2F + L.
  50. sam adjungacur veriqi factori fractio una; Factores isicur
  51. 2F, B F 2+ 2 F +q, conttimene rectangulum
  52. 4F 44 + 16F cF 0F g+BF + 9
  53. +F9+, 8F
  54. Gua
  55. Quvit majus erut Gutals

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 183. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0395?run=74