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Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 17v

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: 0.81.

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. 18r); this page is its left half.

The machine reads it as

  1. (.1
  2. 35
  3. 30
  4. 37 39
  5. 1 - = + - + = ete - = 4 3 + 1 - 1 en vel sic abinitio
  6. 37 39
  7. tse
  8. 13
  9. 35
  10. 36
  11. + s ac. 2 - = + L - 1 1 + L ∞1 erc. quaerendum ergo
  12. I1 12 13
  13. Tantum utrum L= + erc. sit majus quam
  14. Quaeritur an ea quantitas
  15. sit major nihilo. seu utrum - = + = - 1 + 1 - 1 sit majus quam 12
  16. jam Est autem Hoc ita discemus: fiat fractio 5 + + e hoc fractio est
  17. major unitate si L- = eremajor quam
  18. 12
  19. sit major unitate, id est an = - + = - + - erc: sit major unitate
  20. ed quia hoc nondum satis bene judicari potest, vi deamus, an quadratum quantitatis
  21. 12 - 12 + 12 12 etc sit maius ipso numero. jam quad ratum a 12 est 144.
  22. quadratum autem a
  23. - 1 + 1 - = erc. est = - = + - 2 + 2 - 2 en
  24. 319
  25. 517
  26. 49 7,9
  27. S,II 5, 13 5,15
  28. 7, 11
  29. 77
  30. + L - 2 + 2 - 2
  31. 81
  32. 91 39, 13 975
  33. 12
  34. 25
  35. aego +1 - 4 + 16 - 64 + 256 - 1024 + 4096 - 6184
  36. L, aequ - 1 + 6 = 36 +216 -, 696
  37. 1+6
  38. I+g aequ +1 8 f 64 - 512 + 4096
  39. + 1
  40. 1 - = ac.
  41. 114 16 18 1+10
  42. 4-= + L- 2 er aequ d
  43. 1n2
  44. 1+10
  45. aequ - 1 + 10 = 100 + 1000 - 10000
  46. etc
  47. 0422.
  48. Tarde nimis procedet haec appropinquatio; an forte melius erit inverso modo quaerere
  49. +82
  50. expressionem sinus ex arcu; reperi autem si arcy a. radius Y, sinus S. fore:
  51. siago s aequ L = ii 11 14, 5 12) 4Si 15B3 A, 6 9 1. 3, 1 5 f. 9 1 12 1 , 18. 9 , 1 etC
  52. saqu. A-
  53. 23Y 12345Y
  54. ubi patet post 5 priores terminos, en quavis additione non novi termini unam chara
  55. aerem verua acquiri, sem sequens minimum acquiri, quia sequens terminus est decima
  56. pars et amplius naecedentis quod si binatiam progressionem adhibeam, Natim ab initio
  57. veros characteres aequirimus. Investigemus autem hinc des quotientes,
  58. C
  59. Est st _ ad s, ut 1 ad 1 = in + erc. sit a aequ. 1. seego g2t gs
  60. + erc. jam A 2s non procedit, ergo quinforet 1+2
  61. 2 X
  62. A-5 aequ + = 1. 1 5 11. , 7
  63. 25
  64. -287 - 1 + 25 + 7 2. 1 5 (. t 19
  65. 2, _ 17
  66. 1.7
  67. 1255
  68. lra 11 1, .sB Ersto
  69. qua su lis nihilo minor quod sir
  70. proda unt mera signa, -. igitur
  71. A- a5 aequ X aequ 13 ieB45 + erc. et a aequ. 1.
  72. porro
  73. etc
  74. 2
  75. pu
  76. 7ust q9

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068235:0034?run=74