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. 98

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: 0.80.

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

The machine reads it as

  1. arithmetica Instnitorum.
  2. PrOD. 127.
  3. Nempe, E index Ceriei ablacxe ponatue a; rarionem habe-
  4. bunc, ad leriem maximo A. qualium, ipla
  5. Residua.
  6. at+
  7. a+ 1
  8. Gua Habel a + 1
  9. unitas ada
  10. Ouadrata.
  11. a
  12. Cubi. _c.
  13. 29
  14. 30
  15. 0+1 20+ I a+I 2a+2. 30+1
  16. 2 a 2 + 3 a + I
  17. a+ 2, 2 a + F
  18. a
  19. vet a+ 1 2 a+3 a F 1
  20. 20
  21. a
  22. 6a3 + XTa + 6a F T.
  23. a + F, 2akL- x 3a + 2
  24. 2a _C.
  25. 6a2 4TIa2 F 6 a + 2
  26. 6 a3
  27. Acg; hoc idem ralebie E ablaca Teries sic Ceries Radicum.
  28. Verbigraria. Si a ferie A qualium anteraeur leries Sublecun-
  29. danorum cujus index Z. Nam B BOnaTur a = =. ErIE
  30. + T
  31. a
  32. au n at B+ Y
  33. Ba +. P
  34. 3. Et
  35. 2 a + Y
  36. 2a = 3X2 --6. EC 2 7 L, 2a F Y
  37. 32 3Y 2X 13 = 10. _C. Sune aurem, in ejulmodi abla-
  38. cionibus, Residur, Ouadrata, Cubi, _c. ad Ceriem maximo x-
  39. qualium; uc 2 2d 3. 6. 10, _C.
  40. Similicer, Ei auferacur Ceries Subguarcanorum, cujus index
  41. L; X POnAEUIE a = +. Frit a + 2 2 a+ 2
  42. 3
  43. ta
  44. +
  45. 3
  46. 3a + +
  47. 3a
  48. =2. _C. 5X3 = 15, 15X27 =35. 35X
  49. 2 =70. Rc. Sunc aurem, in ejusmodi Sublacionibus, Residua,
  50. quadraca, cubi, Diguadrata, _C. UC T ad5, 15, 35, 70 _c. LC
  51. Paricer in ejulmodi aliis, uc deinceps etiam ulcerius parcbit.
  52. Incerim placer propoliciones aliquot praecedences in Tabel.
  53. lam conjicere, propolicioni seguenti Subjunsendam. Nen. DC. --
  54. PROP. CZZVII. Theorema.
  55. I exponatur (infinica) series Aqualium muleta-
  56. talerie (analoga) Primanorum, Secundano-
  57. rum, Tertianorum, 8cc. Rehidua ipla, corumq;
  58. Mad. 14
  59. eC.
  60. ad unica.
  61. ce. DE
  62. quam na.
  63. DCME
  64. ue

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0310?run=74